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Group in Computational and Applied Mathematics
Department of Mathematics
University of California,
Los Angeles, CA 90095-1555 

UCLA COMPUTATIONAL AND APPLIED MATHEMATICS REPORTS

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2020

View PDF (20-43) Matthew R. Kirchner, Mark J. Debord, and João P. Hespanha, A Hamilton–Jacobi Formulation for Optimal Coordination of Heterogeneous Multiple Vehicle Systems, December 2020

View PDF (20-42) Matthew R. Kirchner, Eddie Ball, Jacques Hoffler, and Don Gaublomme, Reachability as a Unifying Framework for Computing Helicopter Safe Operating Conditions and Autonomous Emergency Landing, December 2020

View PDF (20-41) Ruofei Wu, Chenxin Yang, David Hyde, Andrea L. Bertozzi, P. Jeffrey Brantingham, Emotion Classification and Textual Clustering Techniques for Gang Intervention Data, December 2020

View PDF (20-40) Sian Wen, Andy Chen, Tanishq Bhatia, Nicholas Liskij, David Hyde, Andrea L. Bertozzi, P. Jeffrey Brantingham, Analyzing Effectiveness of Gang Interventions using Koopman Operator Theory, December 2020

View PDF (20-39) Zhimei Ren, Zhengyuan Zhouy, and Jayant R. Kalagnanam, Batched Learning in Generalized Linear Contextual Bandits with General Decision Sets, November 2020 Updated January 2021

View PDF (20-38) Kyung Ha, Joseph de Rutte, Dino Di Carlo, and Andrea Bertozzi, Minimal surface configurations for axisymmetric microparticles, October 2020

View PDF (20-37) Tan M. Nguyen, Richard G. Baraniuk, Andrea L. Bertozzi, Stanley J. Osher, and Bao Wang, MomentumRNN: Integrating Momentum into Recurrent Neural Networks, October 2020

View PDF (20-36) Michael R. Lindstrom, Hyuntae Jung, and Denis Larocque, Functional Kernel Density Estimation: Point and Fourier Approaches to Time Series Anomaly Detection, September 2020

View PDF (20-35) J-F. Aujol, Ch. Dossal and A. Rondepierre, Convergence rates of the Heavy-Ball method with Lojasiewicz property, September 2020

View PDF (20-34) Matt Jacobs, Xinran Zhou, Shu Huang, Michal Marszewski, Sarah Tolbert, Stanley Osher, Laurent Pilon, and Jaime Marian, Demonstration of room temperature rectification in tapered-channel thermal diodes through confinement-induced liquid-solid phase change, September 2020

View PDF (20-33) Michael R. Lindstrom, Mason A. Porter, Hannah Shoenhard, Sarah Trick, Thomas Valles, Joseph M. Zinski, Networks of Necessity: Preventing COVID-19 Among Disabled People and Their Caregivers, August 2020

View PDF (20-32) Ying Wen, Jiebao Sun, Zhichang Guo, A New Anisotropic Fourth-Order Diffusion Equation Model Based on Image Feature for Image Denoising, August 2020

View PDF (20-31) Karthik Elamvazhuthi and Spring Berman, Density Stabilization Strategies for Nonholonomic Agents on Compact Manifolds, August 2020

View PDF (20-30) Howard Heaton, Samy Wu Fung, Alex Tong Lin, Stanley Osher, Wotao Yin, Projecting to Manifolds via Unsupervised Learning, August 2020

View PDF (20-29) Karthik Elamvazhuthi, Zahi Kakish, Aniket Shirsat, and Spring Berman, Controllability and Stabilization for Herding a Robotic Swarm using a Leader: A Mean-Field Approach, July 2020

View PDF (20-28) Shiba Biswal, Karthik Elamvazhuthi, and Spring Berman, Decentralized Control of Multi-Agent Systems using Local Density Feedback, July 2020

View PDF (20-27) Shiba Biswal, Karthik Elamvazhuthi, Hans Mittelmann, and Spring Berman, Spectral Gap Optimization of Divergence Type Diffusion Operators, July 2020

View PDF (20-26) Lisang Ding, Wuchen Li, Stanley Osher, Wotao Yin, A mean field game inverse problem, July 2020

View PDF (20-25) Zhijian Li, Yunling Zheng, Jack Xin, and Guofa Zhou, A Recurrent Neural Network and Differential Equation Based Spatiotemporal Infectious Disease Model with Application to COVID-19, July 2020 UPDATED August 2020

View PDF (20-24) H. Ji, A. Sadeghpour, Y. S. Ju, and A. L. Bertozzi, Modeling film flows down a fibre influenced by nozzle geometry, July 2020

View PDF (20-23) Siting Liu and Levon Nurbekyan, Splitting Methods for a Class of Non-Potential Mean Field Games, June 2020

View PDF (20-22) Thu Dinh, Bao Wang, Andrea Bertozzi, Stanley Osher, and Jack Xin, Sparsity Meets Robustness: Channel Pruning for the Feynman-Kac Formalism Principled Robust Deep Neural Nets, June 2020

View PDF (20-21) Christian Parkinson, A Rotating-Grid Upwind Fast Sweeping Scheme for a Class of Hamilton-Jacobi Equations, June 2020

View PDF (20-20) Derek Onken, Samy Wu Fung, Xingjian Li, and Lars Ruthotto, OT-Flow: Fast and Accurate Continuous Normalizing Flows via Optimal Transport, June 2020

View PDF (20-19) Wonjun Lee, Siting Liu, Hamidou Tembine, Wuchen Li, and Stanley Osher, Controlling Propagation of epidemics via mean-field control, June 2020 Updated November 2020

View PDF (20-18) Kelvin Kan, Samy Wu Fung, Lars Ruthotto, PNKH-B: A Projected Newton-Krylov Method For Large-Scale Bound-Constrained Optimization, May 2020

View PDF (20-17) Samy Wu Fung, Sanna Tyrväinen, Lars Ruthotto, and Eldad Haber, ADMM-Softmax : An ADMM Approach for Multinomial Logistic Regression, May 2020

View PDF (20-16) Christian Parkinson, Andrea L. Bertozzi, and Stanley Osher, A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles, May 2020

View PDF (20-15) George Mohler, Andrea L. Bertozzi, Jeremy Carter, Martin B. Short, Daniel Sledge, George E. Tita, Craig D. Uchida, and P. Jeffrey Brantingham, Impact of social distancing during COVID-19 pandemic on crime in Los Angeles and Indianapolis, April 2020

View PDF (20-14) Siting Liu. Matthew Jacobs, Wuchen Li, Levon Nurbekyan, and Stanley Osher, Computational Methods for Nonlocal Mean Field Games with Applications, April 2020

View PDF (20-13) J-F. Aujol, Ch. Dossal and A. Rondepierre, Convergence rates of the Heavy-Ball method for quasi-strongly convex optimization, April 2020

View PDF (20-12) Yat Tin Chow and Ali Pakzad, On the Zeroth Law of Terbulence for the Stochastically Forced Navier-Stokes Equations, April 2020

View PDF (20-11) Karthik Elamvazhuthi, Siting Liu, Wuchen Li, Stanley Osher, Optimal Transport of Nonlinear Control-Affine Systems, March 2020

View PDF (20-10) Ziang Long, Penghang Yin and Jack Xin, Global Convergence and Geometric Characterization of Slow to Fast Weight Evolution in Neural Network Training for Classifying Linearly Non-Separable Data, March 2020

View PDF (20-09) Habib Ammari, Yat Tin Chow, and Hongyu Liu, Quantum Ergodicity and Localization of Plasmon Resonances, March 2020

View PDF (20-08) Shu Liu, Wuchen Li, Hongyuan Zha, Haomin Zhou, Neural Parametric Fokker-Planck Equations, February 2020

View PDF (20-07) Jing Qin, Harlin Lee, Jocelyn T. Chi, Lucas Drumetz, Jocelyn Chanussot, Yifei Lou, and Andrea L. Bertozzi, Blind Hyperspectral Unmixing Based on Graph Total Variation Regularization, February 2020

View PDF (20-06) Alex Tong Lin, Samy Wu Fung, Wuchen Li, Levon Nurbekyan, Stanley J. Osher, APAC-Net: Alternating the Population and Agent Control via Two Neural Networks for High-Dimensional Stochastic Mean Field Games, February 2020, UPDATED June 2020

View PDF (20-05) Jiancheng Lyu, Jack Xin, Yifeng Yu, Computing Residual Diffusivity by Adaptive Basis Learning via Super-Resolution Deep Neural Networks, February 2020

View PDF (20-04) Thu Dinh and Jack Xin, Convergence of a Relaxed Variable Splitting Method for Learning Sparse Neural Networks via l₁ , l₀ , and Transformed l₁ Penalties, UPDATED VERSION OF CAM 18-65 February 2020

View PDF (20-03) Wonjun Lee, Rongjie Lai, Wuchen Li, Stanley Osher, Generalized Unnormalized Optimal Transport and its Fast Algorithms, UPDATED VERSION OF CAM 19-40 February 2020

View PDF (20-02) Alden Waters, H. Carrillo, Hybrid Inverse Problems for Nonlinear Elasticity, January 2020

View PDF (20-01) Yifei Wang, Wuchen Li, Information Newton’s flow: second-order optimization method in probability space, January 2020 UPDATED August 2020

2019

View PDF (19-67) Bao Wang, Difan Zou, Quanquan Gu, Stanley J. Osher, Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo, December 2019

View PDF (19-66) Levon Nurbekyan, Alexander Iannantuono, Adam M. Oberman, No-collision Transportation Maps, December 2019

View PDF (19-65) Lars Ruthotto, Stanley Osher, Wuchen Li, Levon Nurbekyan, and Samy Wu Fung, A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems, December 2019, updated February 2020

View PDF (19-64) Wonjun Lee, Wuchen Li, Bo Lin, and Anthea Monod, Tropical Optimal Transport and Wasserstein Distances in Phylogenetic Tree Space, November 2019

View PDF (19-63) Wuchen Li, Jianfeng Lu, and Li Wang, Fisher Information Regularization Schemes for Wasserstein Gradient Flows, November 2019

View PDF (19-62) Michael R Lindstrom, Ryan Shijie Du, Xiang Yang Ng, Dominic Diaz, Margaret Koulikova, Matthew T Nero, Hannah C Ross, Sanjay Shukla, Andrea L Bertozzi, and P Jeffrey Brantingham, Using Local Geographic Features to Predict Changes in the Los Angeles Homeless Population, November 2019

View PDF (19-61) Michael R. Lindstrom, Andrea L. Bertozzi, A Continuum PDE Model for Agents on a Lattice with Applications to Homelessness, November 2019

View PDF (19-60) Habib Ammari, Yat Tin Chow, and Hongyu Liu, Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems, November 2019

View PDF (19-59) Michael R. Lindstrom, Manuel B. Chavez, Elijah A. Gross-Sable, Eric Y. Hayden, and David b. Teplow, From reaction kinetics to dementia: a simple dimer model of Alzheimer’s disease etiology, November 2019

View PDF (19-58) Stanley Osher, Bao Wang, Penghagn Yin, Xiyang Luo, Farzin Barekat, Minh Pham, and Alex Lin, Laplacian Smoothing Gradient Descent, November 2019

View PDF (19-57) Hao Gao, Wonjun Lee, Wuchen Li, Zhu Han, Stanley Osher, Vincent Poor, Energy-efficient Velocity Control for Massive Rotary-Wing UAVs: A Mean Field Game Approach, October 2019

View PDF (19-56) Wuchen Li, Jiaxi Zhao, Wasserstein Information Matrix, October 2019 UPDATED August 2020

View PDF (19-55) Qi Feng, Wuchen Li, Generalized Γ z Calculus via Sub-Riemannian Density Manifold, October 2019

View PDF (19-54) Michael Arbel, Arthur Gretton, Wuchen Li, Guido Montufar, Kernelized Wasserstein Natural Gradient, October 2019

View PDF (19-53) Alex Lin, Yonatan Dukler, Wuchen Li, Guido Montufar, Wasserstein Diffusion Tikhonov Regularization, October 2019

View PDF (19-52) Wuchen Li, Diffusion Hypercontractivity via Generalized Density Manifold, October 2019

View PDF (19-51) Wuchen Li, Lexing Yin, Hessian Transport Gradient Flows, October 2019

View PDF (19-50) Christian Parkinson, David Arnold, Andrea L. Bertozzi, and Stanley J. Osher, A Model for Optimal Human Navigation with Stochastic Effects, October 2019

View PDF (19-49) Chun Yin Siu, Hei Long Chan, Lok Ming Lui, Image Segmentation with Partial Convexity Prior using Discrete Conformality Structures, October 2019

View PDF (19-48) Wei Zhu and Ingrid Daubechies, Constructing curvelet-like bases and low-redundancy frames, October 2019

View PDF (19-47) Wei Zhu, Qiang Qiu, Robert Calderbank, Guillermo Sapiro, and Xiuyuan Cheng, Scale-Equivariant Neural Networks with Decomposed Convolutional Filters, September 2019

View PDF (19-46) Jing Qin, Harlin Lee, Jocelyn T. Chi, Yifei Lou, Jocelyn Chanussot, and Andrea L. Bertozzi, Fast Blind Hyperspectral Unmixing Based on Graph Laplacian, September 2019

View PDF (19-45) Farzin Barekat, Portfolio Construction for Practitioners: Sizing Strategies with Skewed Returns, September 2019

View PDF (19-44) Yifei Wang and Wuchen Li, Accelerated Information Gradient flow, September 2019

View PDF (19-43) Melissa Y. Tong, Jérôme Gilles, and Luminita A. Vese, A Joint Variational Model for Atmospheric Distortion Correction, August 2019

View PDF (19-42) Di Qiu and Lok Ming Lui, Inconsistent Surface Registration via Optimization of Mapping Distortions, August 2019

View PDF (19-41) Jeffrey Wong, Michael Lindstrom, and Andrea L. Bertozzi, Fast Equilibration Dynamics of Viscous Particle-Laden Flow in an Inclined Channel, August 2019

View PDF (19-40) Wonjun Lee, Rongjie Lai, Wuchen Li, and Stanley Osher, Fast Algorithms for Generalized Unnormalized Optimal Transport, August 2019

View PDF (19-39) Robert Hannah, Ernest K. Ryu, Wotao Yin, Scaled Relative Graph, July 2019

View PDF (19-38) Bao Wang and Stanley J. Osher, Graph Interpolating Activation Improves Both Natural and Robust Accuracies in Data-Effcient Deep Learning, July 2019

View PDF (19-37) Omri Azencot, Wotao Yin, and Andrea Bertozzi, Consistent Dynamic Mode Decomposition, July 2019

View PDF (19-36) Yiping Lu, Zhuohan Li, Di He, Zhiqing Sun, Bin Dong, Tao Qin, Liwei Wang, Tie-Yan Liu, Understanding and Improving Transformer From a Multi-Particle Dynamic System Point of View, June 2019

View PDF (19-35) Pengfei Jin, Tianhao Lai, Rongjie Lai, Bin Dong, NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Network on Point Clouds, June 2019

View PDF (19-34) Michael A. Puthawala, The Structure of Inverse Problems and Unnormalized Optimal Transport, A dissertation. June 2019

View PDF (19-33) Minh Pham, Arjun Rana, Jianwei Miao, and Stanley Osher, A semi-implicit relaxed Douglas-Rachford algorithm (sir-DR) for Ptychograhpy, June 2019

View PDF (19-32) Matt Jacobs and Flavien Leger, A Fast Approach to Optimal Transport: The Back-and-Forth Method, May 2019

View PDF (19-31) Yufei Wang, Ziju Shen, Zichao Long, Bin Dong, Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning, May 2019 (revised June2019)

View PDF (19-30) Dinghuai Zhang, Tianyuan Zhang, Yiping Lu, Zhanxing Zhu, Bin Dong. You Only Propagate Once: Accelerating Adversarial Training via Maximal Principle, May 2019

View PDF (19-29) Brendon Anderson, Eva Loeser, Marissa Gee, Fei Ren, Swagata Biswas, Olga Turanova, Matt Haberland, and Andrea L. Bertozzi, Quantifying Robotic Swarm Coverage, May 2019

View PDF (19-28) Matt jacobs, Inwon Kim, and Alpar R. Meszaros, Weak Solutions to the Muskat Problem with Surface Tension Via Optimal Transport, May 2019

View PDF (19-27) Baichuan Yuan, Hao Li, Andrea L. Bertozzi, P. Jeffrey Brantingham, and Mason A. Porter, Multivariate Spatiotemporal Hawkes Processes and Network Reconstruction, https://arxiv.org/pdf/1811.06321.pdf, May 2019

View PDF (19-26) Honglin Chen, Hao Li, Alexander Song, Matt Haberland, Osman Akar, Adam Dhillon, Tiankuang Zhou, Andrea L. Bertozzi, and P. Jeffrey Brantingham, Semi-Supervised First-Person Activity Recognition in Body-Worn Video, April 2019

View PDF (19-25) Farzin Barekat, When Factor Timing Makes Sense, April 2019

View PDF (19-24) Bao Wang, Quanquan Gu, March Boedihardjo, Farzin Barekat, and Stanley Osher, DP-LSSGD: A Stochastic Optimization Method to Lift the Utility in Privacy-Preserving ERM, April 2019 (revised June 2019)

View PDF (19-23) Gary Pui Tung Choi, Yusan Leung Liu, Xianfeng Gu and Lok Ming Lui, Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding, April 2019

View PDF (19-22) Alfredo Garbuno-Inigo, Franca Hoffmann, Wuchen Li and Andrew M. Stuart, Gradient Structure Of The Ensemble Kalman Flow With Noise, March 2019

View PDF (19-21) Shui-Nee Chow, Wuchen Li and Haomin Zhou, Wasserstein Hamiltonian Flows, March 2019

View PDF (19-20) Wuchen Li, Shu Liu, Hongyuan Zha, and Haomin Zhou, Parametric Fokker-Planck Equation, March 2019

View PDF (19-19) Wuchen Li, Alex Tong Lin, and Guido Montufar, Affine Natural Proximal Learning, March 2019

View PDF (19-18) Yonatan Dukler, Wuchen Li, Alex Tong Lin, and Guido Montufar, Wasserstein of Wasserstein Loss for Learning Generative Models, March 2019

View PDF (19-17) Flavien Leger and Wuchen Li, Hopf-Cole Transformation via Generalized Schrodinger Bridge Problem, March 2019

View PDF (19-16) Fanghui Xue and Jack Xin, Learning Sparse Neural Networks via l₀ and Tl₁ by a Relaxed Variable Splitting Method with Application to Multi-scale Curve Classification, February 2019

View PDF (19-15) Brendan Harding, Yvonne M. Stokes, and Andrea L. Bertozzi, Effect of inertial lift on a spherical particlem suspended in flow through a curved duct, February 2019

View PDF (19-14) Zhijian Li, Xiyang Luo, Bao Wang, Andrea L. Bertozzi, and Jack Xin, A Study on Graph-Structured Recurrent Neural Networks and Sparsification with Application to Epidemic Forecasting, February 2019

View PDF (19-13) Zachary Mark Boyd, Community detection using total variation and surface tension, (A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics), February 2019

View PDF (19-12) H. Ji, C. Falcon, A. Sadeghpour, Z. Zeng, Y. S. Ju, and A. L. Bertozzi, Dynamics of Thin Liquid Films on Vertical Cylindrical Fibers, February 2019

View PDF (19-11) Wilfrid Gangbo, Wuchen Li, Stanley Osher, and Michael Puthawala, Unnormalized Optimal Transport, February 2019, (revised May 2019) (revised August 2019)

View PDF (19-10) Alex Tong Lin, Mark J. Debord, Katia Estabridis, Gary Hewer, Stanley Osher, CESMA: Centralized Expert Supervises Multi-Agents, February 2019 (revised July 2019)

View PDF (19-09) Thu Dinh and Jack Xin, Convergence of a Relaxed Variable Splitting Coarse Gradient Descent Method for Learning Sparse Weight Binarized Activation Neural Networks, January 2019 (revised February 2019)

View PDF (19-08) Wei Zhu, Zuoqiang Shi, and Stanley Osher, Low Dimensional Manifold Model in Hyperspectral Image Reconstruction, January 2019

View PDF (19-07) Jiancheng Lyu, Shuai Zhang, Yingyong Qi, Jack Xin, AutoShuffleNet: Learning Permutation Matrices via an Exact Lipschitz Continuous Penalty in Deep Convolutional Neural Networks, January 2019

View PDF (19-06) Lisa Maria Kreusser, Stanley J. Osher, Bao Wang, A Deterministic Approach to Avoid Saddle Points, January 2019

View PDF (19-05) Yiling Qiao, Chang Shi, Chenjian Wang, Hao Li, Matt Haberland, Xiyang Luo, Andrew M. Stuart, Andrea L. Bertozzi, Uncertainty Quantification for Semi-supervised Multi-class Classification in Image Processing and Ego-Motion Analysis of Body-Worn Videos, January 2019

View PDF (19-04) Jacob D. Moorman, Qinyi Chen, Thomas K. Tu, Zachary M. Boyd, Andrea L. Bertozzi, Filtering Methods for Subgraph Matching on Multiplex Networks, January 2019

View PDF (19-03) Tim Hoheisel, Maxime Laborde, and Adam Oberman, A Regularization Interpretation of the Proximal Point Method for Weakly Convex Functions, January 2019

View PDF (19-02) Yaghoub Rahimi, Chao Wang, Hongbo Dong, and Yifei Lou, A Scale Invariant Approach for Sparse Signal Recovery, January 2019

View PDF (19-01) Gary P. T. Choi, Hei Long Chan, Robin Yong, Sarbin Ranjitkar, Alan Brook, Grant Townsend, Ke Chen, Lok Ming Lui, Tooth morphometry using quasi-conformal theory, January 2019

2018

View PDF (18-70) Denali Molitor and Deanna Needell, An iterative Method for Classification of Binary Data, December 2018

View PDF (18-69) Anna Ma, You (Joe) Zhou, Cynthia Rush, Dror Baron, and Deanna Needell, An Approximate Message Passing Framework for Side Information, December 2018

View PDF (18-68) Deanna Needell, Sam Nelson, Yingqi Shi, Tribracket Modules, December 2018

View PDF (18-67) Saiprasad Ravishankar, Anna Ma, and Deanna Needell, Analysis of Fast Structured Dictionary Learning, December 2018

View PDF (18-66) Jing Qin, Shuang Li, Deanna Needell, Anna Ma, Rachel Grotheer, Chenxi Huang, Natalie Durgin, Stochastic Greedy Algorithms For Multiple Measurement Vectors, December 2018

View PDF (18-65) Thu Dinh and Jack Xin, Convergence of a Relaxed Variable Splitting Method for Learning Sparse Neural Networks via l₁ , l₀ , and transformed-l₁ Penalties, December 2018

View PDF (18-64) Chuntian Wang, Yuan Zhang, Andrea L. Bertozzi and Martin B. Short, A Stochastic-Statistical Residential Burglary Model with Finite Size Effects, October 2018

View PDF (18-63) Shay Deutsch, Andrea Bertozzi, Stefano Soatto, Zero Shot Learning with the Isoperimetric Loss, December 2018

View PDF (18-62) Zichao Long, Yiping Lu, Bin Dong, PDE-NET 2.0: LEARNING PDES FROM DATA WITH A NUMERIC-SYMBOLIC HYBRID DEEP NETWORK, December 2018

View PDF (18-61) Bao Wang, Bingjie Yuan, Zuoqiang Shi, Stanley J. Osher, EnResNet: ResNet Ensemble via the Feynman-Kac Formalism November 2018 (revised June 2019)

View PDF (18-60) Zehao Dou and Stanley J. Osher and Bao Wang, Mathematical Analysis of Adversarial Attacks, November 2018

View PDF (18-59) YANLI LIU, YUNBEI XU, AND WOTAO YIN, Acceleration of Primaol-Dual Methods by 2 Preconditioning and Fixed Number of Inner Loops, November 2018

View PDF (18-58) Di Qiu, Ka-chun Lam, and Lok-Ming Lui, Computing Quasiconformal Folds, October 2018

View PDF (18-57) Michael A. Puthawala, Cory D. Hauck, and Stanley J. Osher, Diagnosing Forward Operator Error Using Optimal Transport, October 2018

View PDF (18-56) Chris Finlay, Adam Oberman and Bilal Abbasi, Improved Robustness to Adversarial Examples Using Lipschitz Regularization of the Loss, October 2018

View PDF (18-55) Shui-Nee Chow, Wuchen Li, Chenchen Mou, and Haomin Zhou , A Discrete Schrodinger Bridge Problem via Optimal Transport on Graphs, October 2018

View PDF (18-54) Jianlin Liu, Wotao Yin, Wuchen Li, and Yat Tin Chow, Multilevel Optimal Transport: A Fast Approximation of Wasserstein-1 Distances, October 2018

View PDF (18-53) Alex Tong Lin, Wuchen Li, Stanley Osher, and Guido Montufar, Wasserstein Proximal of GANS, September 2018, (revised January 2019)

View PDF (18-52) Wuchen Li and Guido Montúfar, Ricci Curvature for Parametric Statistics via Optimal Transport, September 2018

View PDF (18-51) Penghang Yin, Jiancheng Lyu, Shuai Zhang, Stanley Osher, Yingyong Qi, Jack Xin, Understanding Straight – Through Estimator in Training Activation Quantized Neural Nets, September 2018

View PDF (18-50) Bao Wang, Alex T. Lin, Zuoqiang Shi, Wei Zhu, Penghang Yin, Andrea L. Bertozzi, Stanley J. Osher, Adversarial Defense via Data Dependent Activation Function and Total Variation Minimization, September 2018

View PDF (18-49) Zuoqiang Shi, Bao Wang, and Stanley Osher, Error Estimation of Weighted Nonlocal Laplacian on Random Point Cloud, September 2018 (revised August 2019)

View PDF (18-48) Hailiang Liu, James Ralston, and Peimeng Yin, General Superpositions of Gaussian Beams and Propagation Errors, September 2018

View PDF (18-47) Louis Li and Yen-Hsi Richard Tsai, Autonomous Exploration, Reconstruction, and Surveillance of 3D Environments Aided by Deep Learning, September 2018

View PDF (18-46) Adam M. Oberman and Jeff Calder, Lipschitz Regularized Deep Neural Networks Converge and Generalize, August 2018 (revised October 2018)

View PDF (18-45) Russel Caflisch, Hung Hsu Chou, Jonathan Siegel, Effcient Frame Projection of Amplitude-Modulated Signals, August 2018 (revised October 2018)

View PDF (18-44) Zebin Wu, Wei Zhu, Jocelyn Chanussot, Yang Xu, and Stanley Osher, Hyperspectral Anomaly Detection via Global and Local Joint Modeling of Background, August 2018

View PDF (18-43) Chaohao Pan, Bo Li, Chuntian Wang, Yuqi Zhang, Nathan Geldner, Li Wang, Andrea L. Bertozzi, Crime Modeling with Truncated Levy Flights for Residential Burglary Models, August 2018

View PDF (18-42) Wai Ho Chak, Chun Pong Lau, Lok Ming Lui, Subsampled Turbulence Removal Network, August 2018

View PDF (18-41) Penghang Yin, Shuai Zhang, Jiancheng Lyu, Stanley Osher, Yingyong Qi, Jack Xin, Blended Coarse Gradient Descent for Full Quantization of Deep Neural Networks, August 2018

View PDF (18-40) D. J. Arnold, D. Fernandez, R. Jia, C. Parkinson, D. Tonney Y. Yanivz, A. L. Bertozzi, S. J. Osher, Modeling Environmental Crime in Protected Areas Using the Level Set Method, August 2018

View PDF (18-39) Wuchen Li and Stanley Osher, Constrained Dynamical Optimal Transport and its Lagrangian Formulation, July 2018 (revised September 2018)

View PDF (18-38) Zachary M. Boyd, Mason A. Porter, and Andrea L. Bertozzi, Stochastic Block Models are a Discrete Surface Tension, June 2018

View PDF (18-37) Matt Jacobs, Olivia Walch, A partial differential equations approach to defeating partisan gerrymandering, June 2018

View PDF (18-36) Yifan Chen, Wuchen Li, Natural Gradient in Wasserstein Statistical Manifold, June 2018

View PDF (18-35) Zhaoyi Meng, High Performance Computing and Real Time Software for High Dimensional Data Classification, (A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics), June 2018

View PDF (18-34) Xiyang Luo, Analysis and Applicationof Graph-Based Semi-Supervised Learning Methods, (A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics), June 2018

View PDF (18-33) Stanley Osher, Bao Wang, Penghang Yin, Xiyang Luo, Minh Pham, Alex Lin, Laplacian Smoothing Gradient Descent, May 2018 (revised July 2018) (revised September 2018), (revised October 2018), (revised April 2019)

View PDF (18-32) Fangbo Zhang, A Blob Method for Advection-Diffusion-Reaction Systems with Application to Robotic Swarms, A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics, May 2018

View PDF (18-31) Stefan C. Schonsheck, Bin Dong, Rongjie Lai, Parallel Transport Convolution: A New Tool for Convolutional Neural Networks on Manifolds, May 2018

View PDF (18-30) Haiwen Huang, Chang Wang, Bin Dong, Nostalgic Adam: Weighing more of the past gradients when designing the adaptive learning rate, May 2018

View PDF (18-29) Xiaoshuai Zhang, Yiping Lu, Jiaying Liu, Bin Dong, Dynamically Unfolding Recurrent Restorer: A Moving Endpoint Control Method for Image Restoration, May 2018

View PDF (18-28) Wei Zhu, Qiang Qiu, Bao Wang, Jianfeng Lu, Guillermo Sapiro, Ingrid Daubechies, Stop memorizing: A data-dependent regularization framework for intrinsic pattern learning, May 2018

View PDF (18-27) Christian Parkinson, David Arnold, Andrea L. Bertozzi, Yat Tin Chow, Stanley Osher, Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman Approach, May 2018 (revised June 2018)

View PDF (18-26) Matt Jacobs, Flavien Leger, Wuchen Li, and Stanley Osher, Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size, May 2018

View PDF (18-25) Chaohao Pan, Bao Li, Chuntian Wang, Yuqi Zhang, Nathan Geldner, Li Wang, Andrea L. Bertozzi, Crime Modeling with Truncated Lévy Flights for Residential Burglary Models, May 2018

View PDF (18-24) Yat Tin Chow, Wuchen Li, Stanley Osher, Wotao Yin, Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula, May 2018 (revised April 2019)

View PDF (18-23) Yanli Liu, Wotao Yin, An Envelope for Davis-Yin Splitting and Strict Saddle Point Avoidance, April 2018 (revised May 2018)

View PDF (18-22) Kevin Bui, Jacob Fauman, David Kes, Leticia Torres Mandiola, Adina Ciomaga, Ricardo Salazar, Andrea L. Bertozzi, Jérôme Gilles, Andrew I. Guttentag, Paul S. Weiss, Segmentation of Scanning Tunneling Microscopy Images Using Variational Methods and EmpiricalWavelets, April 2018

View PDF (18-21) Chun Pong Lau, Yu Hin Lai, Lok Ming Lui, Variational models for joint subsampling and reconstruction of turbulence-degraded images, April 2018

(18-20) Tao Sun and Wota Yin, Markov Block Coordinate Descent and Gradient Descent, April 2018

View PDF (18-19) Wotao Yin, Xianghui Mao, Kun Yuan, Yuantao Gu, and Ali H. Sayed, A Communication-Efficient Random-Walk Algorithm for Decentralized Optimization, April 2018

View PDF (18-18) Wuchen Li and Guido Montúfar Natural gradient via optimal transport I, March 2018

View PDF (18-17) Wuchen Li, Geometry of Probability Simplex via Optimal Transport, March 2018

View PDF (18-16) Can Karakus, Yifan Sun, Suhas Diggavi, and Wotao Yin, Redundancy Techniques for Straggler Mitigation in Distributed Optimization and Learning, March 2018

View PDF (18-15) Alex Tong Lin, Yat Tin Chow, and Stanley J. Osher, A Spliting Method for Overcoming the Curse of Dimensionality in Hamilton-Jacobi Equations Arising from Nonlinear Optimal Control and Differential Games with Applications to Trajectory Generation, February 2018

View PDF (18-14) Fangbo Zhang, Andrea L. Bertozzi, Karthik Elamvazhuthi, and Spring Berman, Performance Bounds on Spatial Coverage Tasks by Stochastic Robotic Swarms, February 2018

View PDF (18-13) Yang Xu, Zebin Wu, Jocelyn Chanussot, Mauro Dalla Mura, Andrea L. Bertozzi, and Zhihui Wei, Low-Rank Decomposition and Total Variation Regularization of Hyperspectral Video Sequences, February 2018

View PDF (18-12) Travis R. Meyer, Daniel Balagué, Miguel Camacho-Collados, Hao Li, Katie Khuu, P. Jeffrey Brantingham, and Andrea L. Bertozzi, A year in Madrid as described through the analysis of geotagged Twitter data, February 2018

View PDF (18-11) Hanjun Li, Chunhan Feng, Henry Ehrhard, Yijun Shen, Bernardo Cobos, Fangbo Zhang, Karthik Elamvazhuthi, Spring Berman, Matt Haberland, and Andrea L. Bertozzi, Decentralized Stochastic Control of Robotic Swarm Density: Theory, Simulation, and Experiment, February 2018

View PDF (18-10) Bao Wang, Duo Zhang, Duanhao Zhang, P. Jeffrey Brantingham, and Andrea L. Bertozzi, Deep Learning for Real Time Crime Forecasting, February 2018

View PDF (18-09) Yonatan Dukler, Yurun Ge, Yizhou Qian, Shintaro Yamamoto, Baichuan Yuan, Long Zhao, Andrea L. Bertozzi, Blake Hunter, Rafael Llerena, and Jesse T. Yen, Automatic Valve Segmentation in Cardiac Ultrasound Time Series Data, February 2018

View PDF (18-08) Minh Pham, Penghang Yin, Arjun Rana, Stanley Osher, Jianwei Miao, Generalized Proximal Smoothing for Phase Retrieval, February 2018 (revised March 2018) (revised August 2018)

View PDF (18-07) Bao Wang, Xiyang Luo, Zhen Li, Wei Zhu, Zuoqiang Shi, Stanley Osher, Deep Neural Networks with Data Dependent Implicit Activation Function, February 2018

View PDF (18-06) Ernest K. Ryu, Yanli Liu, Wotao Yin, Douglas-Rachford Splitting for Pathological Convex Optimization, January 2018

View PDF (18-05) Penghang Yin, Shuai Zhang, Jiancheng Lyu, Stanley Osher, Yingyong Qi, and Jack Xin, BinaryRelax: A Relaxation Approach For Training Deep Neural Networks With Quantized Weights, January 2018

View PDF (18-04) Matthew Kirchner, Gary Hewer, Jerome Darbon, and Stanley Osher, A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems, January 2018

View PDF (18-03) Yupeng Li, Wuchen Li, and Guo Cao, Image Segmentation via L₁ Monge-Kantorovich Problem, January 2018

View PDF (18-02) Ernest K. Ryu, Yongxin Chen, Wuchen Li, and Stanley Osher, Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications, January 2018

View PDF (18-01) Wilfrid Gangbo, Wuchen Li, and Chenchen Mou, Geodesic of Minimal Length in the Set of Probability Measures on Graph, January 2018

2017

View PDF (17-70) D. Reed Robinson, Robert T. Mar, Katia Estabridis, and Gary Hewer, An Efficient Algorithm for Optimal Trajectory Generation for Heterogeneous Multi-Agent Systems in Non-Convex Environments, December 2017

View PDF (17-69) Jonathan W. Siegel, Shift Invariant Subspaces and Applications to Signal Fragmentation, November 2017 (revised February 2018), (revised October 2018)

View PDF (17-68) Charles Marshak, Igor Yanovsky, and Luminita Vese, Energy Minimization for Cirrus and Cumulus Cloud Separation in Atmospheric Images, November 2017

View PDF (17-67) Yifan Chen, Yuejiao Sun, Wotao Yin, Run-and-Inspect Method for Nonconvex Optimization and Global Optimality Bounds for R-Local Minimizers, November2017

View PDF (17-66) Wei Zhu, Qiang Qiu, Jiaji Huang, Robert Calderbank, Guillermo Sapiro, and Ingrid Daubechies, LDMNet: Low Dimensional Manifold Regularized Neural Networks, November 2017

View PDF (17-65) Shui-Nee Chow, Wuchen Li, and Haomin Zhou, A Discrete Schrodinger Equation via Optimal Transport on Graphs, November 2017

View PDF (17-64) Jing Qin, Shuang Li, Deanna Needell, Anna Ma, Rachel Grotheer, Chenxi Huang, Natalie Durgin, Stochastic Greedy Algorithms For Multiple Measurement Vectors, November 2017

View PDF (17-63) Igor Yanovsky, Ali Behrangi, Yixin Wen, Mathias Schreier, Van Dang and Bjorn Lambrigtsen, Enhanced Resolution of Microwave Sounder Imagery through Fusion with Infrared Sensor Data, November 2017

View PDF (17-62) Dufan Wu, Kyungsang Kim, Bin Dong, and Quanzheng Li, End-to-End Abnormality Detection in Medical Imaging, October 2017

View PDF (17-61) Yuping Lu, Aoxiao Zhong, Quanzheng Li, Bin Dong, Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations October 2017

View PDF (17-60) Zichao Long, Yiping Lu, Xianzhong Ma and Bin Dong, PDE-NET: Learning PDES from Data, October 2017

View PDF (17-59) Yat Tin Chow and Wilfrid Gangbo, A Partial Laplacian as an Infinitesimal Generator on the Wasserstein Space, October 2017

View PDF (17-58) Hubin Chang, Stefano Marchesini, Yifei Lou, and Tieyong Zeng, Variational Phase Retrieval with Globally Convergent Preconditioned Proximal Algorithm, October 2017

View PDF (17-57) Penghang Yin, Minh Pham, Adam Oberman, Stanley Osher, Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for k-means Clustering, October 2017 (revised April 2018)

View PDF (17-56) Konstantin Dragomiretskiy and Igor Yanovsky, Variational Destriping in Remote Sensing Imagery: Total Variation with L₁ Fidelity, October 2017

View PDF (17-55) Wei Zhu, Nonlocal Variational Methods in Image and Data Processing, September 2017

View PDF (17-54) Guido Montufar and Johannes Rauh, Geometry of Policy Imprevement, September 2017

View PDF (17-53) Guido Montufar, Keyan Ghazi-Zahedi, and Nihat Ay, Information Theoretically Aided Reinforcement Learning for Embodied Agents, September 2017

View PDF (17-52) Jialin Liu, Cristina Garcia-Cardona, Brendt Wohlberg, and Wotao Yin, Online Convolutional Dictionary Learning, September 2017

View PDF (17-51) Ernest K. Ryu and Wotao Yin, Proximal-Proximal-Gradient Method, August 2017

View PDF (17-50) Robert Hannah and Wotao Yin, More Iterations per Second, Same Quality-Why Asynchronous Algorithms may Drastically Outperform Traditional Ones, August 2017

View PDF (17-49) Zhengyuan Zhou, Jerry Ding, Haomiao Huang, Ryo Takei, Claire Tomlin, Efficient Algorithms for Open-Loop Reach-Avoid Games, August 2017

View PDF (17-48) Penghang Yin, Zhe Sun, Wen-Long Jin, and Jack Xin, l-minimization method for link flow correction, August 2017

View PDF (17-47) Zachary Boyd, Egil Bae, Xue-Cheng Tai, and Andrea Bertozzi, Simplified Energy Landscape for Modularity Using Total Variation, August 2017

View PDF (17-46) D. Needell, R. Saab, T. Woolf, Simple Classification using Binary Data, July 17

View PDF (17-45) W. Choi, d. Needell and S. Nelson, Boltzmann Enhancements of Biquasile Counting Invariants, July 2017

View PDF (17-44) A. Ma and D. Needell, Adapted Stochastic Gradient Descent for Linear Systems with Missing Data, July 2017

View PDF (17-43) A. Ma, D. Needell and A. Ramdas, Iterative Methods for Solving Factorized Linear Systems, July 2017

View PDF (17-42) X. Gu, S. Tu, H-J.M. Shi, M. Case, D. Needell, and Y. Plan, Optimizing quantization for Lasso recovery, July 2017

View PDF (17-41) Jiequn Han, Arnulf Jentzen, and Weinan E, Overcoming the curse of dimensionality: Solving high-dimensional partial di erential equations using deep learning, July 2017

View PDF (17-40) Guido Montúfar and Johannes Rauh, Geometry of Policy Improvement, July 2017

View PDF (17-39) Guido Montúfar, Keyan Ghazi-Zahedi, and Nihat Ay, Information Theoretically Aided Reinforcement Learning for Embodied Agents, July 2017

View PDF (17-38) Bin Wu, Talal Rahman and Xue-Cheng Tai, Sparse-data Based 3D Surface Reconstruction for Cartoon and Map, June 2017

View PDF (17-37) Ke Wei, Ke Yin, Xue-Cheng Tai and Tony F. Chan, New region force for variational models in image segmentation and high dimensional data clustering, June 2017

View PDF (17-36) Xue-Cheng Tai and Jinming Duan, A Simple Fast Algorithm for Minimization of the Elastica Energy Combing Binary and Level Set Representations, June 2017

View PDF (17-35) Geoffrey Iyer, Jocelyn Chanussot, Andrea L. Bertozzi, A Graph-Based Approach for Feature Extraction and Segmentation of Multimodal Images, June 2017

View PDF (17-34) Russell E. Warren and Stanley J. Osher Chemical Detection Using Hyperspectral Imaging: Vapor Sensing in the Atmosphere, June 2017

View PDF (17-33) Frederic Gibou, Ronald Fedkiw, Stanley Osher, A Review of Level-Set Methods and Some Recent Applications, June 2017

View PDF (17-32) Tian-Hui Ma, Yifei Lou, Ting-Zhu Huang, Xi-Le Zhao, Group Based Truncated L_1-2 Model for Image Inpainting, June 2017

View PDF (17-31) Yanli Liu, Ernest K. Ryu, and Wotao Yin, A New Use of Douglas-Rachford Splitting and ADMM for Identifying Infeasible, Unbounded, and Pathological Conic Programs, May 2017 (revised June 2017), (revised October 2017)

View PDF (17-30) Tao Sun, Robert Hannah, Wotao Yin, Asynchronous Coordinate Descent under More Realistic Assumptions, May 2017 (revised July 2017)

View PDF (17-29) Andrea L. Bertozzi, Xiyang Luo, Andrew M. Stuart, Konstantinos C. Zygalakis, Uncertainty Quantification in the Classification of High Dimensional Data, May 2017

View PDF (17-28) Andrea Bertozzi, John Garnett, Thomas Laurent, Joan Verdera, The regularity of the boundary of a multidimensional aggregation patch, May 2017

View PDF (17-27) Dominik Ziegler, Travis R. Meyer, Andreas Amrein, Andrea L. Bertozzi, and Paul D. Ashby, Ideal Scan Path for High-Speed Atomic Force Microscopy, May 2017

View PDF (17-26) Baichuan Yuan, Sathya R Chitturi, Geoffrey Iyer, Nuoyu Li, Xiaochuan Xu, Ruohan Zhan, Rafael Llerena, Jesse T Yen, Andrea L Bertozzi, Machine Learning for Cardiac Ultrasound Time Series Data, May 2017

View PDF (17-25) Victoria Chayes, Kevin Miller, Rasika Bhalerao, Jiajie Luo, Wei Zhu, Andrea L. Bertozzi, Wenzhi Liao, Stanley Osher, Pre-processing and classification of hyperspectral imagery via selective inpainting, May 2017

View PDF (17-24) Guillaume Tochon, Jocelyn Chanussot, Mauro Dalla Mura and Andrea. L. Bertozzi, Object tracking by hierarchical decomposition of hyperspectral video sequences: application to chemical gas plume tracking, May 2017

View PDF (17-23) Matt Jacobs, Ekaterina Merkurjev, and Selim Esedoglu, Auction Dynamics: A Volume Constrained MBO Scheme, May 2017

View PDF (17-22) Wei Zhu, Bao Wang, Richard Barnard, Cory D. Hauck, Frank Jenko, Stanley Osher, Scientific Data Interpolation with Low Dimensional Manifold Model, May 2017 (revised June 2017)

View PDF (17-21) Michael Royston, Andre Pradhana, Byungjoon Lee, Yat Tin Chow, Wotao Yin, Joseph Teran, Stanley Osher, Parallel Redistancing using the Hopf-Lax Formula, April 2017 (revised October 2017)

View PDF (17-20) Pratik Chaudhari, Adam Oberman, Stanley Osher, Stefano Soatto, and Guillame Carlier, Deep Relaxation: Partial Differential Equations for Optimizing Deep Neural Networks, April 2017 (revised (June 2017)

View PDF (17-19) Wuchen Li, Penhang Yin, and Stanley Osher, Computations of Optimal Transport Distance with Fisher Information Regularization, April 2017

View PDF (17-18) Chun Pong Lau, Yu Hin Lai and Lok Ming Lui, Restoration of Atmospheric Turbulence-distorted Images via RPCA and Quasiconformal Maps, April 2017

View PDF (17-17) Catherine Kublik and Richard Tsai, An extrapolative approach to integration over hypersurfaces in the level set framework, April 2017

View PDF (17-16) Yat Tin Chow, Jérôme Darbon, Stanley Osher, Wotao Yin, Algorithm for Overcoming the Curse of Dimensionality for State-dependent Hamilton-Jacobi Equations, April 2017 (revised February 2018)

View PDF (17-15) Travis Robert Meyer, Energy Models for Signal Processing and Matrix Factorization, (A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics), March 2017

View PDF (17-14) Matthew R. Kirchner, Robert Mar, Gary Hewer, Jérôme Darbon, Stanley Osher, Y.T. Chow, Time-Optimal Collaborative Guidance using the Generalized Hopf Formula, March 2017 (revised September 2017), (revised November 2017), (revised December 2017)

View PDF (17-13) Shui-Nee Chow, Wuchen Li, Jun Lu and Haomin Zhou, Game Theory and Discrete Optimal Transport, March 2017

View PDF (17-12) Wuchen Li, Ernest K. Ryu, Stanley Osher, Wotao Yin, and Wilfrid Gangbo, A Parallel Method for Earth Mover’s Distance, March 2017 (revised August 2017)

View PDF (17-11) Russell E. Warren, and David B. Cohn, Chemical detection on surfaces by hyperspectral imaging February 2017

View PDF (17-10) Jun Liu, Stanley Osher, Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising, February 2017 (revised December 2017)

View PDF (17-09) Zhaoyi Meng, Ekaterina Merkurjev, Alice Koniges, Andrea L Bertozzi, Hyperspectral Image Classification Using Graph Clustering Methods, February 2017

View PDF (17-08) Jake P. Taylor-King, David Basanta, S. Jonathan Chapman, and Mason A. Porter, A Mean-Field Approach to Evolving Spatial Networks, with an Application to Osteocyte Network Formation, January 2017

View PDF (17-07) Jonas Sogaard Juul, Mason A. Porter, Synergistic effects in threshold models on networks, January 2017

View PDF (17-06) X. Flora Meng, Robert A. Van Gorder, and Mason A. Porter, Opinion formation and distribution in a bounded confidence model on various networks, January 2017

View PDF (17-05) Rongjie Lai and Jia Li, Solve partial differential equations on manifold from imcomplete inter-point distance, February 2017

View PDF (17-04) Rongjie Lai and Jia Li, Manifold based low-rank regularization for image restoration and semi-supervised learning, February 2017

View PDF (17-03) Charles Zachary Marshak, Applications of Network Science to Criminal Networks, University Education, and Ecology, January 2017

View PDF (17-02) Zuoqiang Shi, Stanley Osher, Wei Zhu, Weighted Nonlocal Laplacian from Sparse Data, January 2017 (revised version of cam16-61, March 2017)

View PDF (17-01) Da Kuang, P. Jeffrey Brantingham, Andrea L. Bertozzi, Crime Top Modeling, January 2017

2016

View PDF (16-94) C. Chong, Mason A. Porter, P. G. Kevrekidis, C. Daraio, Nonlinear Coherent Structures in Granular Crystals, December 2016

View PDF (16-93) Naoki Masuda, Mason A. Porter, and Renaud Lambiotte, Random walks and discusion on networks, December 2016

View PDF (16-92) Sofia H. Piltz, Lauri Harhanen, Mason A. Porter, Philip K. Maini, Two Smooth Analogs for a piecewise-smooth 1 predator-2 prey system, October 2016

View PDF (16-91) Bernadette J. Stolz, Heather A. Harrington, and Mason A. Porter, The Topological “Shape” of Brexit, September 2016

View PDF (16-90) Kelum Gajamannage, Erik M. Bollt, Mason A. Porter, and Marian S. Dawkins, Modeling the lowest-cost splitting of a herd of cows by optimizing a cost function, December 2016

View PDF (16-89) Marya Bazzi, Lucas G. S. Jeub, Alex Arenas, Sam D. Howison, and Mason A. Porter, Generative benchmark models for mesoscale structure in multilayer networks, November 2016

View PDF (16-88) Mason A. Porter and Ginestra Bianconi, Network analysis and modelling: Special issue of European Journal of Applied Mathematics, 2016

View PDF (16-87) Mason A. Porter, 88 Lines about 44 Mathematicians, 2016

View PDF (16-86) Zhimin Peng, Yangyang Xu, Ming Yan and Wotao Yin, On the Convergence of Asynchronous Parallel Iteration with Arbitrary Delays, December 2016

View PDF (16-85) V. Estellers and S. Soatto, Adaptive Discretizations for Vision, December 2016

View PDF (16-84) Ernest K. Ryu, Wuchen Li, Penghang Yin, and Stanley Osher, Unbalanced partial L¹ Monge-Kantorovich Problem: A Scalable Parallel First-Order Method, December 2016 (revised September 2017)

View PDF (16-83) Yat-Tin Chow, Wei Shi, Tianyu Wu and Wotao Yin, Expander Graph and Communication-Efficient Decentralized Optimization, December 2016

View PDF (16-82) Tianyu Wu, Kun Yuan, Qing Ling, Wotao Yin, and Ali H. Sayed, Decentralized Consensus Optimization with Asynchrony and Delays, November 2016 (revised March 2017)

View PDF (16-81) Yunho Kim, A Nonconvex Unconstrained Method for Eigenvalue Problems and A Nonsingular System for Eigenvector Estimation, November 2016

View PDF (16-80) Ying Li, Jing Qin, Yue-Loong Hsin, Stanley Osher and Wentai Liu, s-Smooth: Sparsity and Smoothness Enhanced EEG Brain Tomography, November 2016

View PDF (16-79) Stamatios Lefkimmiatis, Non-local Color Image Denoising with Convolutional Neural Networks November 2016

View PDF (16-78) Yat Tin Chow, Tianyu Wu and Wotao Yin, Cyclic coordinate update algorithms for fixed-point problems: Analysis and Applications, November 2016 (revised March 2017)

View PDF (16-77) Christopher R. Anderson, Dominant Subspace Preconditioning for Kernel Ridge Regression Problems, November 2016

View PDF (16-76) Hubin Chang, Yifei Lou, and Yuping Duan, Total Variation Based Phase Retrieval for Poisson Noise Removal. October 2016

View PDF (16-75) Jing Qin, Tianyu Wu, Ying Li, Wotao Yin, Stanley Osher, and Wentai Liu, Accelerated High-Resolution EEG Source Imaging. October 2016

View PDF (16-74) Siwei Yu, Stanley Osher, Jianwei Ma, Zuoqiang Shi, Noise attenuation in a low dimensional manifold. October 2016

View PDF (16-73) Stephanie Allen, David Madras, Ye Ye, Greg Zanotti, Change-point Detection Methods for Body-Worn Video, October 2016

View PDF (16-72) Patrick Flynn, Joseph Pappe, Aviva Prins, William Sisson, Samuel Stanton, Ruiyi Yang, Constant Flux Particle-laden Viscous Thin Film Flows on an Incline, October 2016

View PDF (16-71) A. Mavromoustaki, L. Wang, J. Wong, and A. L. Bertozzi, Surface tension effects for particle settling and resuspension in viscous thin films, October 2016

View PDF (16-70) Wuchen Li, Stanley Osher, and Wilfrid Gangbo, A Fast Algorithm for Earth Mover’s Distance Based on Optimal Transport and L¹ Type Regularization. October 2016 Note: This paper is the result of updating and merging 16-65 and 16-66.

View PDF (16-69) Jin-Jin Mei, Yiqiu Dong, Ting-Zhu Huang, Wotao Yin, Cauchy Noise Removal by Nonconvex ADMM with Convergence Guarantees, October 2016

View PDF (16-68) Tian-Hui Ma, Yifei Lou and Ting-Zhu Huang, Truncated L_1-2 Models for Sparse Recovery and Rank Minimization}, October 2016

View PDF (16-67) Hao-Jun Michael Shi, Shenyinying Tu, Yangyang Xu, Wotao Yin, A Primer on Coordinate Descent Algorithms, September 2016 (revised January 2017)

View PDF (16-66) Wuchen Li, Stanley Osher, and Wilfrid Gangbo, Fast Algorithms for Earth Mover’s Distance Based on Optimal Transport and L¹ type Regularization II. September 2016

View PDF (16-65) Wuchen Li, Stanley Osher, and Wilfrid Gangbo, Fast Algorithms for Earth Mover’s Distance Based on Optimal Transport and L¹ type Regularization I. September 2016

View PDF (16-64) Robert Hannah and Wotao Yin, On Unbounded Delays in Asynchronous Parallel Fixed-Point Algorithms September 2016. (Revised October 2016)

View PDF (16-63) Zuoqiang Shi, Stanley Osher, and Wei Zhu, Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model September 2016 (revised June 2017)

View PDF (16-62) Yat Tin Chow, Jerome Darbon, Stanley Osher, Wotao Yin, Algorithm for Overcoming the Curse of Dimensionality for Time-dependent Non-convex Hamilton-Jacobi Equations Arising from Optimal Control and Differential Games Problems, August 2016 (revised March 2017)

View PDF (16-61) Zuoqiang Shi, Stanley Osher, and Wei Zhu, Weighted Graph Laplacian and Image Inpainting, August 2016

View PDF (16-60) Giang Tran and Rachel Ward, Exact Recovery of Chaotic Systems from Highly Corrupted Data, August 2016

View PDF (16-59) Jinshan Zeng, and Wotao Yin, On Nonconvex Decentralized Gradient Descent, August 2016 (revised August 2017)

View PDF (16-58) Triet M. Le, A Multivariate Hawkes Process with Gaps in Observations, August 2016

View PDF (16-57) Gary Pui-Tung Choi, Mandy Hui-Ying Man and Ronald Lok Ming Lui, Fast Spherical Quasiconformal Parameterization of Genus-O Closed Surfaces with Application to Adaptive Remeshing, August 2016

View PDF (16-56) Byung Joon Lee, Jerome Darbon, Stanley Osher, Myungjoo Kang, Revisiting the Redistancing Problem using the Hopf-Lax Formula, July 2016 (Revised October 2016)

View PDF (16-55) Siwei Yu, Jianwei Ma, and Stanley Osher, Geometry Mode Decomposition, July 2016

View PDF (16-54) R. Baraniuk, S. Foucart, D. Needell, Y. Plan, M. Wootters, One-Bit Compressive Sensing of Dictionary-Sparse Signals, June 2016

View PDF (16-53) X. Gu, S. Tu, H-J.M. Shi, M. Case, D. Needell, and Y. Plan, Optimizing quantization for Lasso recovery, June 2016

View PDF (16-52) D. Needell, R. Saab, T. Woolf, Weighted l₁ -Minimization for Sparse Recovery under Arbitrary Prior Information, June 2016

View PDF (16-51) J. A. De Loera, J. Haddock, D. Needell, A Sampling Kaczmarz-Motzkin Algorithm for Linear Feasibility, June 2016

View PDF (16-50) M. Davenport, A. Massimino, D. Needell, and T. Woolf, Constrained Adaptive Sensing, Jun 2015

View PDF (16-49) R. Baraniuk, S. Foucart, D. Needell, Y. Plan, M. Wootters, Exponential decay of reconstruction error from binary measurements of sparse signals, Jul 2014

View PDF (16-48) Stolz, Bernadette J.; Harrington, Heather A.; and Porter, Mason A., Persistent Homology of Time-Dependent Functional Networks Constructed from Coupled Time Series, May 2016

View PDF (16-47) De Domenico, Manlio; Granell, Clara; Porter, Mason A.; and Arenas, Alex, The Physics of Multilayer Networks, April 2016

View PDF (16-46) Piltz, Sofia H.; Veerman, Frits; Maini, Philip K.; and Porter, Mason A., A Predator–2 Prey Fast-Slow Dynamical System for Rapid Predator Evolution, March 2016

View PDF (16-45) Danchev, Valentin and Porter, Mason A., Heterogeneity of Global and Local Connectivity in Spatial Network Structures of World Migration, March 2016

View PDF (16-44) Pilosof, Shai; Porter, Mason A.; Pascual, Mercedes; and Kéfi, S onia, The Multilayer Nature of Ecological Networks, Nov. 2015

View PDF (16-43) Jeub, Lucas G. S.; Mahoney, Michael W.; Mucha, Peter J.; and Porter, Mason A., A Local Perspective on Community Structure in Multilayer Networks, May 2016

View PDF (16-42) Porter, Mason A. and Gleeson, James P., Dynamical Systems on Networks: A Tutorial, (BOOK) May 2015

View PDF (16-41) Penghang Yin, Jack Xin, and Yingyong Qi, Linear Feature Transform and Enhancement of Classification on Deep Neural Network, July 2016 (revised Feb. 2017). (revised Feb. 2018)

View PDF (16-40) Ekaterina Merkurjev, Andrea L. Bertozzi, and Fan Chung, A Semi-Supervised Heat Kernel Pagerank MBO Algorithm for Data Classification, July 2016

View PDF (16-39) Huibin Chang, Yifei Lou, Michael K. Ng, and Tieyong Zeng, Phase Retrieval from Incomplete Magnitude Information Via Total Variation Regularization, June 2016

View PDF (16-38) Chieh Chen and Richard Tsai, Implicit Boundary Integral Methods for the Helmholtz Equation in Exterior Domains, June 2016 (revised Feb. 2017)

View PDF (16-37) Brent Edmunds, Zhimin Peng and Wotao Yin, TMAC: A Toolbox of Modern Async-Parallel, Coordinate, Splitting, and Stochastic Methods, June 2016

View PDF (16-36) Fred Park, Yifei Lou, Jack Xin, A Weighted Difference of Anisotropic and Isotropic Total Variation for Relaxed Mumford-Shah Image Segmentation May 2016

View PDF (16-35) Zhaoyi Meng, Alice Koniges, Yun (Helen) He, Samuel Williams, Thorsten Kurth, Brandon Cook, Jack Deslippe, and Andrea L. Bertozzi. OpenMP Parallelization and Optimization of Graph-based Machine Learning Algorithms, May 2016

View PDF (16-34) I. Yanovsky and B. Lambrigtsen, Multispectral Super-Resolution of Tropical Cyclone Imagery using Sparsity-based Approaches May 2016

View PDF (16-33) I. Yanovsky and B. Lambrigtsen, Enhancing the Temporal Resolution of Image Sequences Capturing Evolving Weather Phenomena May 2016

View PDF (16-32) N. B. Murphy, J. Xin, E. Cherkaev, J. Zhu, and K. M. Golden, Spectral Analysis and Computation of Effective Diffusivities for Steady Random Flows May 2016

View PDF (16-31) Chun Pang Yung, Gary Pui-Tung Choi, Ke Chen, and Lok Ming Lui, TRIM: Triangulating Images for Efficient Registration May 2016

View PDF (16-30) Wei Zhu, Zuoqiang Shi, and Stanley Osher, Scalable Low Dimensional Manifold Model in the Reconstruction of Noisy and Incomplete Hyperspectral Images May 2016 (revised March 2018)

View PDF (16-29) Thomas Goldstein, Gavin Taylor, Kawika Barabin, and Kent Sayre, Unwrapping ADMM: Efficient Distributed Computing via Transpose Reduction, May 2016

View PDF (16-28) Gavin Taylor, Ryan Burmeister, Zheng Xu, Bharat Singh, Ankit Patel, and Tom Goldstein, Training Neural Networks Without Gradients: A Scalable ADMM Approach, May 2016

View PDF (16-27) Yat Tin Chow, Jerome Darbon, Stanley Osher and Wotao Yin, Algorithm for Overcoming the Curse of Dimensionality for Certain Non-convex Hamilton-Jacobi Equations, Projections and Differential Games, May 2016 (revised August 2016)

View PDF (16-26) Ying Li, Jing Qin, Stanley Osher, and Wentai Liu, Graph Fractional-Order Total Variation EEG Source Reconstruction, May 2016

View PDF (16-25) Jun Liu and Xiaojun Zheng, A Block Nonlocal TV Method for Image Restoration, May 2016

View PDF (16-24) Andrea L. Bertozzi and Arjuna Flenner, Diffuse Interface Models on Graphs for Classification of High Dimensional Data, published in SIAM. May 2016

View PDF (16-23) Egil Bae and Ekaterina Merkurjev, Convex Variational Methods for Multiclass Data Segmentation on Graphs. May 2016 (revised March 2017)

View PDF (16-22) Ritvik Kharkar, Charles Z. Marshak, Jessica Tran, Core Course Analysis for Undergraduate Students in Mathematics, May 2016

View PDF (16-21) Roberto H. Schonmann and Robert Boyd, A simple rule for the evolution of contingent cooperation in large groups, May 2016

View PDF (16-20) Penghan Yin, Jack Xin, Interactive l¹ Minimization for Non-Convex Compressed Sensing, April 2016

View PDF (16-19) Theodore Gast, Chuyuan Fu, Chenfanfu Jiang and Joseph Teran, Implicit-shifted Symmetric QR Singular Value Decomposition of 3×3 Matrices, April 2016

View PDF (16-18) Ke Yin, Xue-Cheng Tai, and Stanley Osher, An Effective Region Force for Some Variational Models for Learning and Clustering, April 2016

View PDF (16-17) Siwei Yu, Jianwei Ma and Stanley Osher, Monte Carlo Data-Driven Tight Frame for Seismic Data Recovery, April 2016

(16-16) Yat Tin Chow, Fadil Santosa and Gunther Uhlmann, Unique determination of the index of refraction from phase-less near-field data in two dimensions, April 2016

View PDF (16-15) Ke Wei, Jian-Feng Cai, Tony F. Chan, and Shingyu Leung, Guarantees of Riemannian Optimization for Low Rank Matrix Completion, March 2016

View PDF (16-14) Theodore Kolokolnikov, Braxton Osting, and James Von Brecht, Algebraic Connectivity of Erdos-Renyi Graphs Near the Connectivity Threshold, March 2016

View PDF (16-13) Zhimin Peng, Tianyu Wu, Yangyang Xu, Ming Yan and Wotao Yin, Coordinate Friendly Structures, Algorithms and Applications, March 2016

View PDF (16-12) Xiyang Luo and Andrea L. Bertozzi, Convergence Analysis of the Graph Allen-Cahn Scheme, February 2016 (revised May 2017)

View PDF (16-11) Mihai Cucuringu, Charlie Marshak, Dillon Montag, and Puck Rombach, Rank Aggregation for Course Sequence Discovery, February 2016

View PDF (16-10) Roland Glowinski, Tsorng-Whay Pan and Xue-Cheng Tai, Some Facts about Operator-Splitting and Alternating Direction Methods, February 2016

View PDF (16-09) Bin Dong, Zuowei Shen, and Peichu Xie, Image Restoration: A General Wavelet Frame Based Model and Its Asymptotic Analysis, February 2016

View PDF (16-08) Da Kuang, Zuoqiang Shi, Stanley Osher, and Andrea Bertozzi, A Harmonic Extension Approach for Collaborative Ranking, February 2016

View PDF (16-07) Michael Lindstrom Assessment of the Effects of Azimuthal Mode Number Perturbations upon the Implosion Processes of Fluids in Cylinders, February 2016

View PDF (16-06) Ekaterina Merkurjev, Andrea Bertozzi, Xiaoran Yan, and Kristina Lerman, Modified Cheeger and Ratio Cut Methods Using the Ginzburg-Landau Functional for Classification of High-Dimensional Data, February 2016 (revised January 2017)

View PDF (16-05) Tyler McMillen, Jack Xin, Yifeng Yu, and Andrej Zlatos, Balistic Orbits and Front Speed Enhancement for ABC Flows. January 2016 (Revised July 2016)

View PDF (16-04) Stanley Osher, Zuoqiang Shi, and Wei Zhu, Low Dimensional Manifold Model for Image Processing, January 2016.

View PDF (16-03) Tsz Ching, Ka Chun Lam and Lok Ming Lui Multi-Scale Representation of Deformations via Wavelet Transform on Beltrami Coefficients. January 2016

View PDF (16-02) Ruohan Zhan and Bin Dong CT Image Reconstruction by spatial-Radon Domain Data-Driven Tight Frame Regularization. January 2016

View PDF (16-01) Yu Yang, Bin Dong and Zaiwen Wen, Randomized Algorithms for High Quality Treatment Planning in Volumetric Modulated Arc Therapy. January 2016

2015

View PDF (15-70) Sarah Burnett, Jesse Kreger, Hanna Kristensen and Andrew Stocker, Dynamics of Particle-Laden Thin Films: Viscous Fluid on an Incline, December 2015

View PDF (15-69) Jerome Darbon and Stanley Osher, Splitting Enables Overcoming the Curse of Dimensionality, December 2015 (Revised February 2016)

View PDF (15-68) Damek Davis, The Stochastic Monotone Aggregated Root-Finding Algorithm, December 2015

View PDF (15-67) Ke Wei, Xue-Cheng Tai, Tony F. Chan, and Shingyu Leung, Primal-Dual Method for Continuous Max-Flow Approaches, December 2015

View PDF (15-66) Jerome Gilles and Stanley Osher, Wavelet Burst Accumulation for Turbulence Mitigation. December 2015 (Revised February 2016), (revised April 2016)

View PDF (15-65) Li Wang and Bokai Yan, An Asymptotic-Preserving Scheme for Linear Kinetic Equation with Fractional Diffusion Limit, December 2015

View PDF (15-64) Ting Wei Meng, Pui Tung Choi and Lok Ming Lui, TEMPO:Â Feature-Endowed Teichmuller Extremal Mappings of Point Clouds, November 2015

View PDF (15-63) N.B. Murphy, E. Cherkaev, J. Xin, J. Zhu, and K.M. Golden, Spectral Analysis and Computation of Effective Diffusivities in Space-Time Periodic Incompressible Flows, November 2015

View PDF (15-62) Yu Wang, Wotao Yin, and Jinshan Zeng, Global Convergence of ADMM in Nonconvex Nonsmooth Optimization, November 2015 (Revised December 2015), revised November 2016

View PDF (15-61) Jinshan Zeng and Wotao Yin, ExtraPush for Convex Smooth Decentralized Optimization over Directed Networks, November 2015

View PDF (15-60) Dominique Zosso, Konstantin Dragomiretskiy, Andrea L. Bertozzi, and Paul S.Weiss, Two-Dimensional Compact Variational Mode Decomposition, November 2015

View PDF (15-59) Charles Marshak, Puck Rombach, Andrea Bertozzi, and Maria D’Orsogna, Pursuit on an Organized Crime Network, October 2015

View PDF (15-58) Siwei Yu, Jianwei Ma, and Stanley Osher, Variational Mode Decomposition of Seismic Data, October 2015

View PDF (15-57) V. Estellers, M.A. Scott, and S. Soatto, Robust Surface Reconstruction, October 2015

View PDF (15-56) Jonathan Siegel and Omer Tekin, Compact Support of L¹ Penalized Variational Problems, October 2015

View PDF (15-55) Tingwei Meng and Lok Ming Lui, The Theory of Computational Quasi-conformal Geometry on Point Clouds, October 2015

View PDF (15-54) Michael Ho, Zheng Sun, and Jack Xin, Weighted Elastic Net Penalized Mean-Variance Portfolio Design and Computation, October 2015

View PDF (15-53) Yifei Lou, Penghang Yin, and Jack Xin, Point Source Super-resolution Via Non-convex L¹ Based Methods, October 2015 (Revised January 2016)

View PDF (15-52) Ka Chun Lam and Lok Ming Lui, Optimized Conformal Parameterization with Controllable Area Distortions, October 2015

View PDF (15-51) Jing Qin, Igor Yanovsky, and Wotao Yin, Efficient Simultaneous Image Deconvolution and Upsampling Algorithm for Low Resolution Microwave Sounder Data, September 2015

View PDF (15-50) Jerome Darbon and Stanley Osher, Algorithms for Overcoming the Curse of Dimensionality for Certain Hamilton-Jacobi Equations Arising in Control Theory and Elsewhere, September 2015 (Revised March 2016)

View PDF (15-49) Dominique Zosso, Braxton Osting, and Stanley Osher, A Dirichlet Energy Criterion for Graph-Based Image Segmentation, September 2015

View PDF (15-48) Dominique Zosso, Braxton Osting, Mandy (Mengqi) Xia, and Stanley Osher A Fast Primal-Dual Method for the Obstacle Problem, September 2015

View PDF (15-47) Li Wang, Martin Short, and Andrea L. Bertozzi, Efficient Numerical Schemes for Multiscale Crowd Dynamics with Emotional Contagion, September 2015

View PDF (15-46) Pui Tung Choi, Kin Tat Ho and Lok Ming Lui, Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing, August 2015

View PDF (15-45) Pui Tung Choi and Lok Ming Lui, A Linear Algorithm for Disk Conformal Parameterization of Simply-Connected Open Surfaces, August 2015

View PDF (15-44) Wei Zhu, Victoria Chayes, Alexandre Tiard, Stephanie Sanchez, Devin Dahlberg, Da Kuang, Andrea Bertozzi, Stanley Osher and Dominique Zosso, Nonlocal total Variation with Primal Dual Algorithm and Stable Simplex Clustering in Unsupervised Hyperspectral Imagery Analysis, August 2015 (revised April 2016)

View PDF (15-43) Xiaohua Shi, Fredrick Park, Lina Wang, Jack Xin, and Yingyong Qi, Parallelization of a Color-Entropy Preprocessed Chan-Vese Model for Face Contour Detection on Multi-core CPU and GPU, July 2015

View PDF (15-42) D. Zosso and B. Osting, A Minimal Surface Criterion for Graph Partitioning, July 2015

View PDF (15-41) Seong Jun Kim and Haomin Zhou, A Multiscale Computation for Highly Oscillatory Dynamical Systems using EMD-Type Methods, June 2015

View PDF (15-40) Shiwei Yu, Jianwei Ma, and Stanley Osher, Monte Carlo Data-Driven Tight Frame for Seismic Data Recovery, June 2015

View PDF (15-39) Shuai Zhang, Penghang Yin and Jack Xin, Transformed Schatten-1 Iterative Thresholding Algorithms for Low Rank Matrix Completion, June 2015 (revised October 2016)

View PDF (15-38) Ekaterina Merkurjev, Variational and PDE-Based Methods for Big Data Analysis, Classification and Image Processing Using Graphs (Ph.D. Thesis), June 2015

View PDF (15-37) Zhimin Peng, Yangyang Xu, Ming Yan, Wotao Yin, ARock: an Algorithmic Framework for Asynchronous Parallel Coordinate Updates, June 2015 (Revised July 2015)

View PDF (15-36) Guillaume Tochon, Jocelyn Chanussot, Jerome Gilles, Mauro Dalla Mura, Jen-Mei Chang, and Andrea Bertozzi, Gas Plume Detection and Tracking in Hyperspectral Video Sequences Using Binary Partition Trees, June 2015

View PDF (15-35) Sungyon Lee, Jeffrey Wong and Andrea L. Bertozzi, Equilibrium Theory of Bidensity Particle-Laden Flows on an Incline, June 2015

View PDF (15-34) M. Horning, M. Lin, S. Srinivasan, S. Zou, M. Haberland, K. Yin, and A. Bertozzi, Compressed Sensing Environmental Mapping by an Autonomous Robot, June 2015

View PDF (15-33) Huiyi Hu, Graph Based Models for Unsupervised High Dimensional Data Clustering and Network Analysis, May 2015

View PDF (15-32) Damek Davis, An O(nlog(n)) Algorithm for Projecting Onto the Ordered Weighted l₁ Norm Ball, May 2015 (Revised June 2015)

View PDF (15-31) M. Cucuringu, I. Koutis and S. Chawla, Scalable Constrained Clustering: A Generalized Spectral Method, April 2015

View PDF (15-30) M. Cucuringu and R. Erban, ADM-CLE Approach for Detecting Slow Variables in Continuous Time Markov Chains and Dynamic Data, April 2015

View PDF (15-29) M. Cucuringu, Sync-Rank: Robust Ranking, Constrained Ranking and Rank Aggregation via Eigenvector and SDP Synchronization, April 2015

View PDF (15-28) C. Kublik and R. Tsai, Integration Over Curves and Surfaces Defined by the Closest Point Mapping, April 2015

View PDF (15-27) Jeffrey T. Wong and Andrea L. Bertozzi, A Conservation Law Model for Bidensity Suspensions on an Incline, April 2015

View PDF (15-26) Xavier Bresson, Huiyi Hu, Thomas Laurent, Arthur Szlam, and James von Brecht. An Incremental Reseeding Strategy for Clustering, April 2015

View PDF (15-25) Igor Yanovsky, Bjorn Lambrigtsen, Alan Tanner, and Luminita Vese, Efficient Deconvolution and Super-Resolution Methods in Microwave Imagery, April 2015

(15-24) Tianyu Wu and Wotao Yin, A Parallel Algorithm for Coupled+Decoupled Minimization with Linear Constraints Based on Forward-Backward Splitting, April 2015

(15-23)

View PDF (15-22) Jing Qin, Thomas Laurent, Kevin Bui, Ricardo Vicente R. Tan, Jasmine Dahilig, Shuyi Wang, Jared Rohe, Justin Sunu, and Andrea L. Bertozzi, Detecting Plumes in LWIR Using Robust Nonnegative Matrix Factorization with Graph-based Initialization, April 2015

View PDF (15-21) Fang Li, Stanley Osher, Jing Qin, and Ming Yan, A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-norm Fidelity, April 2015 (Revised August 2015)(Revised February 2016)

View PDF (15-20) Michael Moeller and Xiaoqun Zhang, Fast Sparse Reconstruction: Greedy Inverse Scale Space Flows, March 2015

View PDF (15-19) J. Qian, W. Lu, L. Yuan, S. Luo, and R. Burridge, Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell’s Equations in Inhomogeneous Media, March 2015

View PDF (15-18) J. Qian, L. Yuan, Y. Liu, S. Luo, and R. Burridge, Babich’s Expansion and High-order Eulerian Asymptotics for Point-source Helmholtz Equations, March 2015

View PDF (15-17) Wei Shi, Qing Ling, Gang Wu, and Wotao Yin, A Proximal Gradient Algorithm for Decentralized Composite Optimization, March 2015

View PDF (15-16) Khalid Youssef, Nanette N. Jarenwattananon, and Louis-S. Bouchard, Feature-Preserving Noise Removal, March 2015

View PDF (15-15) Jian-Feng Cai, Xiaobo Qu, Weiyu Xu, and Gui-Bo Ye, Robust Recovery of Complex Signals from Random Gaussian Projections via Low Rank Hankel Matrix Reconstruction, March 2015

View PDF (15-14) Alan Mackey, Part I: Steady States in Two-Species Particle Aggregation; Part II: Sparse Representations for Multiscale PDE, March 2015

View PDF (15-13) Damek Davis and Wotao Yin, A Three-Operator Splitting Scheme and its Optimization Applications, March 2015 (Revised April 2015)

View PDF (15-12) Hei Long Chan, Hangfan Li and Lok Ming Lui, Quasi-conformal Statistical Shape Analysis of Hippocampal Surfacesfor Alzheimer Disease Analysis, March 2015

View PDF (15-11) Sarah Burnett, Andrew Li, Matthew Molinare, and Katherine Varela, Gravity Driven Particle-Laden Flow, March 2015

View PDF (15-10) Christopher R. Anderson, Grid Based Solutions of the N-Particle Schroedinger Equation, February 2015

View PDF (15-09) Christopher R. Anderson, Uniform Grid Computation of Smooth Hydrogenic Orbitals, February 2015

View PDF (15-08) Yifei Lou, Stanley Osher and Jack Xin, Computational Aspects of Constrained L¹ – L² Minimization for Compressive Sensing, January 2015

View PDF (15-07) D. Zosso, J. An, J. Stevick, N. Takaki, M. Weiss, L. S. Slaughter, H. H. Cao, P. S. Weiss, and A. L. Bertozzi, Image Segmentation with Dynamic Artifacts Detection and Bias Correction, January 2015

View PDF (15-06) Chang-Ock Lee, Jong Ho Lee, Hyenkyun Woo,and Sangwoon Yun, Block Decomposition Methods for Total Variation by Primal-Dual Stitching, January 2015 (Revised March 2016)

View PDF (15-05) Mihai Cucuringu and Joseph Woodworth, Point Localization and Density Estimation from Ordinal kNN graphs using Synchronization, January 2015

View PDF (15-04) Stamatios Lefkimmiatis and Stanley Osher, Non-Local Structure Tensor Functionals for Image Regularization, January 2015 (Revised May 2015)

View PDF (15-03) Xiaolin Huang, Lei Shi, and Ming Yan, Nonconvex Sorted  l₁ Minimization for Sparse Approximation, January 2015

View PDF (15-02) Roland Glowinski, Shingyu Leung, and Jianliang Qian, A Penalization-Regularization-Operator Splitting Method for Eikonal-Based Traveltime Tomography, January 2015

View PDF (15-01) Jianliang Qian, Songting Luo, and Robert Burridge, Fast Huygens Sweeping Methods for Multi-Arrival Green’s Functions of Helmholtz Equations in the High Frequency Regime, January 2015

2014

View PDF (14-100) Shuai Zhang and Jack Xin, Minimization of Transformed L¹ Penalty: Closed Form Representation and Iterative Thresholding Algorithms, December 2014 (revised July 2016)

View PDF (14-99) Sung Ha Kang, Seong Jun Kim, and Haomin Zhou, Path Optimization with Limited Sensing Ability, December 2014

View PDF (14-98) Alden Waters, Phaseless Stability for Helmholtz, December 2014

View PDF (14-97) Shiwei Yu, Jianwei Ma, Xiaoqun Zhang, and Mauricio Sacchi, Interpolation and Denoising of High-Dimensional Seismic Data by Learning Tight Frame, December 2014

View PDF (14-96) Manuel J. Castro, Jose M .Gallardo, and Antonio Marquina, Approximate Osher-Solomon Schemes for Hyperbolic System, December 2014

View PDF (14-95) Yunmei Chen, Guanghui Lan, Yuyuan Ouyang and Wei Zhang, Fast bundle-Level Type Methods for Unconstrained and Ball-Constrained Convex Optimization, December 2014

View PDF (14-94) Ya-Feng Liu, Shiqian Ma, Yu-Hong Dai, and Shuzhong Zhang, A Smoothing SQP Framework for a Class of Composite L_q Minimization over Polyhedron, December 2014

View PDF (14-93) Bo Jiang, Shiqian Ma, and Shuzhong Zhang, Tensor Principal Component Analysis via Convex Optimization, December 2014

View PDF (14-92) Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, On the Global Linear Convergence of the ADMM with Multi-Block Variables, December 2014

View PDF (14-91) Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, On the Convergence Rate of Multi-Block ADMM, December 2014

View PDF (14-90) Xiao Wang, Shiqian Ma, and Wei Liu, Stochastic Quasi-Newton Methods for Nonconvex Stochastic Optimization, December 2014

View PDF (14-89) X. Bresson, T. Laurent, D. Uminsky, and J. von Brecht, Convergence and Energy Landscape for Cheeger Cut Clustering, December 2014

View PDF (14-88) X. Bresson, T. Laurent, D. Uminsky, and J. von Brecht, Multiclass Total variation Clustering, December 2014

View PDF (14-87) N.G. Trillos, D. Slepcev, J. von Brecht, T. Laurent, and X. Bresson, Consistency of Cheeger and Ratio Graph Cuts, December 2014

View PDF (14-86) Shuai Zhang and Jack Xin, Minimization of Transformed L¹ Penalty: Theory, Difference of Convex Function Algorithm, and Robust Application in Compressed Sensing, November 2014

View PDF (14-85) Chenglong Bao, Bin Dong, Likun Hou, Zuowei Shen, Xiaoqun Zhang, and Xue Zhang, Proximal Iterative Hard Thresholding Methods for Wavelet Frame Based Image Restoration, November 2014, (Revised June 2015)

View PDF (14-84) Jingwei Liang and Xiaoqun Zhang, Retinex by Higher Order Total Variation L¹ Decomposition, November 2014

View PDF (14-83) Ka Chun Lam, Xianfeng Gu and Lok Ming Lui, Landmark Constrained Genus-one Surface Teichmüller Map Applied to Surface Registration in Medical Imaging, November 2014

View PDF (14-82) Stanley Osher and Wotao Yin, Sparse Recovery via l₁ and L₁ Optimization, November 2014

View PDF (14-81) Bin Dong, Sparse Representation on Graphs by Tight Wavelet Frames and Applications, November 2014 (Revised October 2015)

View PDF (14-80) Hyenkyun Woo and Haesun Park, Robust Asymmetric Nonnegative Matrix Factorization, October 2014

View PDF (14-79) Huiyi Hu, Justin Sunu, and Andrea L. Bertozzi, Multi-class Graph Mumford-Shah Model for Plume Detection using the MBO Scheme, October 2014

View PDF (14-78) Joseph Woodworth and Rick Chartrand, Compressed Sensing Recovery via Nonconvex Shrinkage Penalties, October 2014

View PDF (14-77) Feng Zhou, Lijun Yang, Hao-min Zhou, and Lihua Yang, Optimal Averages for Nonlinear Signal Decompositions – Another Alternative for Empirical Mode Decomposition, October 2014

View PDF (14-76) Eric Lai, Daniel Moyer, Baichuan Yuan, Eric Fox, Blake Hunger, Andrea L. Bertozzi, and Jeffrey Brantingham, Topic Time Series Analysis of Microblogs, October 2014

View PDF (14-75) Ning Hao, Bin Dong, and Jianqing Fan, Sparsifying the Fisher Linear Discriminant by Rotation, October 2014

View PDF (14-74) Bin Dong, Qingtang Jiang, Chaoqiang Liu, and Zuowei Shen, Multiscale Representation of Surfaces by Tight Wavelet Frames with Applications to Denoising, October 2014

View PDF (14-73) Damek Davis, Convergence Rate Analysis of the Forward-Douglas-Rachford Splitting Scheme, October 2014 (Revised July 2015)

View PDF (14-72) Ekaterina Merkurjev, Egil Bae, Andrea L. Bertozzi and Xue-Cheng Tai, Global Binary Optimization on Graphs for Classification of High Dimensional Data, September 2014

View PDF (14-71) Bjorn Engquist and Hongkai Zhao, Approximate Separability of Green’s Function for High Frequency Helmholtz Equations, September 2014 (Revised December 2016)

View PDF (14-70) Kin Tat Ho and Lok Ming Lui, QCMC: Quasi-Conformal Parameterizations for Multiply-Connected Domains, September 2014

View PDF (14-69) Yifei Lou, Tieyong Zeng, Stanley Osher, and Jack Xin, A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing, September 2014 (Revised: July 2015)

View PDF (14-68) Virginia Estellers, Stefano Soatto, and Xavier Bresson, Adaptive Regularization with the Structure Tensor, August 2014

View PDF (14-67) Virginia Estellers and Stefano Soatto, Occlusion Detection by Temporal Integration of Optical Flow, August 2014

View PDF (14-66) Pui Tung Choi and Lok Ming Lui, Fast Disk Conformal Parameterization of Simply-connected Open Surfaces, August 2014

View PDF (14-65) Joseph R. Zipkin, Frederic P. Schoenberg, Kathryn Coronges, and Andrea L. Bertozzi, it Point-Process Models of Social Network Interactions: Parameter Estimation and Missing Data Recovery, August 2014

View PDF (14-64) Yohann Tendero and Stanley Osher, On a Mathematical Theory of Coded Exposure, August 2014 (Revised December 2015)

View PDF (14-63) Damek Davis, Convergence Rate Analysis of Primal-Dual Splitting Schemes, August 2014 (Revised July 2015)

View PDF (14-62) Chi Po Choi, Xianfeng Gu and Lok Ming Lui, Quasi-conformal Surface Remeshing, August 2014

View PDF (14-61) Stanley Osher, Feng Ruan, Jiechao Xiong, Yuan Yao and Wotao Yin, Sparse Recovery via Differential Inclusions, July 2014 (Revised January 2016)

View PDF (14-60) Qianqian Xu, Ming Yan, and Yuan Yao, Fast Adaptive Least Trimmed Squares for Robust Evaluation of Quality of Experience, July 2014 (Revised October 2014)

View PDF (14-59) Ming Yan and Wotao Yin, Self Equivalence of the Alternating Direction Method of Multipliers, July 2014 (Revised March 2015)

View PDF (14-58) Damek Davis and Wotao Yin, Faster Convergence Rates of Relaxed Peaceman-Rachford and ADMM under Regularity Assumptions, July 2014 (Revised May 2015)

View PDF (14-57) Shuo Yang and Zhenwei Shi, SparseCEM and SparseACE for Hyperspectral Image Target Detection, July 2014

View PDF (14-56) Hayden Schaeffer, Yi Yang, and Stanley Osher, Space-Time Regularization For Video Decompression, July 2014 (Revised September 2014)

View PDF (14-55) Xiaolong Long, Knut Solna, and Jack Xin, Three l₁ Based Nonconvex Methods for Constructing Sparse Mean Reverting Portfolios, July 2014 (revised October 2017)

View PDF (14-54) Katy Craig and Andrea L. Bertozzi, A Blob Method for the Aggregation Equation, July 2014

View PDF (14-53) J.T. Woodworth, G.O. Mohler, A.L. Bertozzi, and P.J. Brantingham, Nonlocal Crime Density Estimation Incorporating Housing Information, June 2014

View PDF (14-52) Dominique Zosso and Aurelien Bustin, A Primal-Dual Projected Gradient Algorithm for Efficient Beltrami Regularization, June 2014

View PDF (14-51) Damek Davis and Wotao Yin, Convergence Rate Analysis of Several Splitting Schemes, June 2014

View PDF (14-50) Rongjie Lai and Hongkai Zhao, Non-Rigid Point Cloud Registration Using Robust Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap, June 2014

View PDF (14-49) Dominique Zosso, Giang Tran, and Stanley J. Osher, Non-Local Retinex — A Unifying Framework and Beyond, June 2014

View PDF (14-48) Russell E. Warren and Stanley J. Osher, Hyperspectral Unmixing by the Alternating Direction Method of Multipliers, June 2014 (Revised May 2015)

View PDF (14-47) Omer Faruk Tekin, Ke Yin, Farzin Barekat, Spectral Results for Perturbed Variational Eigenvalue Problems and Their Applications to Compressed PDES, June 2014

View PDF (14-46) Weihong Guo, Jing Qin, and Sibel Tari, Automatic Prior Shape Selection for Image Segmentation, May 2014

View PDF (14-45) Christopher R. Anderson, A Recursive Expanding Domain Method for the Solution of Laplace’s Equation In Infinite Domains, May 2014

View PDF (14-44) Christopher R. Anderson, High Order Expanding Domain Methods for the Solution of Laplace’s Equation In Infinite Domains, May 2014

View PDF (14-43) Christopher R. Anderson, Compact Polynomial Mollifiers For Poisson’s Equation, May 2014. Revised: November 2015

View PDF (14-42) Chiu-Yen Kao, Rongjie Lai and Braxton Osting, Maximization Laplace-Beltrami Eigenvalues on Closed Riemannian Surfaces, May 2014 (Revised September 2014), (Revised March 2016)

View PDF (14-41) Martin Burger and Stanley Osher, Multiscale Variational Imaging, May 2014

View PDF (14-40) Xue-Cheng Tai, Fast Numerical Schemes Related to Curvature Minimization: A Brief and Elementary Review, May 2014

View PDF (14-39) Ekaterina Merkurjev, Cristina Garcia-Cardona, Andrea L. Bertozzi, Arjuna Flenner, and Allon G. Percus, Diffus Interface Methods for Multiclass Segmentation of High-Dimensional Data, April 2014 (Revised April 2015)

View PDF (14-38) James H. von Brecht, Benny Sudakov, and Andrea L. Bertozzi, Swarming on Random Graphs II, April 2014

View PDF (14-37) Sungyon Lee, Aliki Mavromoustaki, Gilberto Urdaneta, Kalwen Huang, and Andrea L. Bertozzi, Experimental Investigation of Bidensity Slurries on an Incline, April 2014

View PDF (14-36) Andrea L. Bertozzi, Jesus Rosado, Martin B. Short, and Li Wang, Contagion Shocks in One Dimension, April 2014

View PDF (14-35) J.T. Woodworth, G.O. Mohler, A.L. Bertozzi, and P.J. Brantingham, Nonlocal Crime Density Estimation Incorporating Housing Information, April 2014

View PDF (14-34) Wei Shi, Qing Ling, Gang Wu, and Wotao Yin, EXTRA: An Exact First-Order Algorithm for Decentralized Consensus Optimization, April 2014 (NOTE: Revised October 2014)

View PDF (14-33) Alan Mackey, Hayden Schaeffer, and Stanley Osher, On the Compressive Spectral Method, April 2014 (Revised September 2014)

View PDF (14-32) Jing Qin, Xiyu Yi, Shimon Weiss, and Stanley Osher, Shearlet-TGV Based Fluorescence Microscopy Image Deconvolution, April 2014

View PDF (14-31) Farzin Barekat, Applications of Stochastic Simulation and Compressed Sensing to Large Systems, (Ph.D. Thesis), April 2014

View PDF (14-30) Huibin Chang, Xue-Cheng Tai, Li-Lian Wang and Danping Yang, Convergence Rate Analysis of Overlapping DDMS for the ROF Model Based on a Dual Formulation, April 2014

View PDF (14-29) Igor Yanovsky, Alan Tanner, and Bjorn Lambrigtsen, Efficient Deconvolution and Spatial Resolution Enhancement from Continuous and Oversampled Observations in Microwave Imagery, April 2014

View PDF (14-28) Jian-Feng Cai, Bin Dong, Zuowei Shen, Image Restorations: A Â Wavelet Frame Based Model for Piecewise Smooth Functions and Beyond, April 2014 (Revised August 2015)

View PDF (14-27) Giang Tran, Hayden Schaeffer, William M. Feldman, and Stanley J. Osher, An L1 Penalty Method for General Obstacle Problems, April 2014 (Revised August 2014) (Revised December 2014)

View PDF (14-26) Liang-Jian Deng, Weihong Guo and Ting-Zhu Huang, Single Image Super-Resolution via an Iterative Reproducing Kernel Hilbert Space Method, April 2014

View PDF (14-25) Yangyang Xu, Wotao Yin and Stanley Osher, Learning Circulant Sensing Kernels, March 2014

View PDF (14-24) Igor Yanovsky and Anthony B. Davis, Separation of Radiances from a Cirrus Layer and Broken Cumulus Clouds in Multispectral Images, March 2014 (NOTE: Revised April 2014)

View PDF (14-23) Farzin Barekat, Ke Yin, Russel E. Caflisch, Stanley Osher, Rongjie Lai and Vidvuds Ozolins, Compressed Wannier Modes Found from an L¹ Regularized Energy Functional, March 2014

View PDF (14-22) , Rongjie Lai, Jianfeng Lu, and Stanley Osher, Density Matrix Minimization with l₁ Regularization, March 2014 (Revised October 2014)

View PDF (14-21) Sung Ha Kang, Wei Zhu and Jackie Shen, Illusory Shapes via Corner Fusion, February 2014

View PDF (14-20) Yin Tat Lee, Ka Chun Lam and Lok Ming Lui, Large Deformation Registration via n-Dimensional Quasi-Conformal Maps, February 2014

View PDF (14-19) Chengfeng Wen, Defeng Wang, Shi Lin, Winnie CW Chu, Jack CY Cheng, and Lok Ming Lui, Constrained Registration of High-genus Surfaces Applied to Vestibular System Morphometry, February 2014 (Revised: December 2014)

View PDF (14-18) Farzin Barekat , Rongjie Lai , Ke Yin, Stanley Osher, Russel Caflisch, and Vidvuds Ozolins, Projection to the Set of Shift Orthogonal Functions, February 2014

View PDF (14-17) Yohann Tendero and Stanley Osher, Blind Uniform Motion Blur Deconvolution for Image Bursts and Video Sequences Based on Sensor Characteristics, February 2014

View PDF (14-16) Konstantin Dragomiretskiy and Dominique Zosso, Two-Dimensional Variational Mode Decomposition, February 2014

View PDF (14-15) Yuyuan Ouyang, Yunmei Chen, Guanghui Lan and Eduardo Pasiliao Jr., An Accelerated Linearized Alternating Direction Method of Multipliers, February 2014

View PDF (14-14) Farzin Barekat, Russel Caflisch, and Stanley Osher, On the Support of Compressed Modes, February 2014 (Revised June 2015)

View PDF (14-13) Ka Chun Lam, Chengfeng Wen and Lok Ming Lui, Conformal-Based Surface Morphing and Multi-Scale Representation, February 2014

View PDF (14-12) Jianing V. Shi, Yangyang Xu, and Richard G. Baraniuk, Sparse Bilinear Logistic Regression, February 2014

View PDF (14-11) Ekaterina Merkurjev, Justin Sunu, and Andrea L. Bertozzi, Graph MBO Method for Multiclass Segmentation of Hyperspectral Stand-Off Detection Video, February 2014

View PDF (14-10) Huiyi Hu, Brendt Wohlberg, and Rick Chartrand, Task-Driven Dictionary Learning for Inpainting, February 2014

View PDF (14-09) Farzin Barekat and Stanley J. Osher, A time continuation based fast approximate algorithm for compressed sensing related optimization, January 2014 (Revised June 2014)

View PDF (14-08) Jianing V. Shi, Wotao Yin, Aswin C. Sankaranarayanan, and Richard G. Baraniuk, Video Compressive Sensing for Dynamic MRI, January 2014

View PDF (14-07) Sungyon Lee, Yvonne Stokes, and Andrea L. Bertozzi, A Model for Particle Laden Flow in a Spiral Concentrator, January 2014

View PDF (14-06) Farzin Barekat, Russel Caflisch, Jean-Luc Cambier, and Bokai Yan. Simulation and Analysis for a Model of Excitation/Deexcitation and Ionization/Recombination in a Plasma, January 2014

View PDF (14-05) Jerome Gilles, and Kathryn Heal, A Parameterless Scale-Space Approach to Find Meaningful Modes in Histograms — Application to Image and Spectrum Segmentation, January 2014 (Revised October 2014)

View PDF (14-04) J. Gilles, T. Meyer, and P.K. Douglas, Low-Rank + Sparse Decomposition (LR+SD) for EEG Artifact Removal, January 2014 (Revised: September 2014)

View PDF (14-03) Tsz Ching Ng and Lok Ming Lui, A Splitting Method for Diffeomorphism Optimization Problem using Beltrami Coefficients, January 2014

View PDF (14-02) Yifei Lou, Penghang Yin, Qi He and Jack Xin, Computing Sparse Representation in a Highly Coherent Dictionary Based on Difference of L₁ and L₂ , January 2014 (Revised June 2015)

View PDF (14-01) Penghang Yin, Yifei Lou, Qi He and Jack Xin, Minimization of l_1-2 for Compressed Sensing, January 2014 (Revised June 2014)

2013

View PDF (13-85) Liyuan Chen and Tieyong Zeng, A Convex Variational Model for Restoring Blurred Images with Rician Noise, December 2013

View PDF (13-84) Yohann Tendero, Are Random Flutter Shutter Codes Good Enough?, December 2013

View PDF (13-83) Yohann Tendero, The Flutter Shutter Code Calculator, December 2013 (Revised March 2016)

View PDF (13-82) Yaochen Li, Yuehu Liu, and Nanning Zheng, Creating Walk-Through Images from Traffic Video Sequence, December 2013

View PDF (13-81) Michael Moeller, Eva-Maria Brinkmann, Martin Burger, and Tamara Seybold, Color Bregman TV, December 2013

View PDF (13-80) Yohann Tendero and Jean-Michel Morel, A Theory of Optimal Flutter Shutter for Probabilistic Velocity Models, December 2013 (Revised March 2016)

View PDF (13-79) Ka Chun Lam, Pui Tung Choi and Lok Ming Lui, FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces, December 2013 (Revised August 2014)

View PDF (13-78) Bin Dong, Qingtang Jiang and Zuowei Shen, Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond, December 2013 (Revised August 2015)

View PDF (13-77) Yangyang Xu, Ruru Hao, Wotao Yin, and Zhixun Su, Parallel matrix factorization for low-rank tensor completion, December 2013

View PDF (13-76) Wenbin Li, Shingyu Leung and Jianliang Qian, A Leve Set-Adjoint State Method for the Joint Transmission-Reflection First Arrival Traveltime Tomography with Unknown Reflector Position, November 2013

View PDF (13-75) Wenbin Li and Shingyu Leung, A Fast Local Level Set Adjoint State Method for First Arrival Transmission Traveltime Tomography with Discontinuous Slowness, November 2013

View PDF (13-74) Yu-Sing Hon, Shingyu Leung, and Hongkai Zhao, A Cell Based Particle Method for Modeling Dynamic Interface, November 2013 (Revised April 2014)

View PDF (13-73) Guoqiao You and Shingyu Leung, An Eulerian Method for Computing the Coherent Ergodic Partition of Continuous Dynamical Systems, November 2013

View PDF (13-72) Gang Bao, Jun Lai and Jianliang Qian, Fast Multiscale Gaussian Beam Methods for Wave Equations in Bounded Convex Domains, November 2013

View PDF (13-71) Shingyu Leung, Jianliang Qian and Susana Serna, Fast Huygens Sweeping Methods for Schrodinger Equations in the Semi-Classical Regime, November 2013

View PDF (13-70) Songting Luo, Jianliang Qian and Robert Burridge, Fast Huygens Sweeping Methods for Helmholtz Equations in Inhomogeneous Media in the High Frequency Regime, November 2013

View PDF (13-69) Songting Luo, Jianliang Qian and Plamen Stefanov, Adjoint State Method for the Identification Problem in Spect: Recovery of Both the Source and the Attenuation in the Attenduated X-Ray Transform, November 2013

View PDF (13-68) Songting Luo, Jianliang Qian and Robert Burridge, High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations, November 2013

View PDF (13-67) Russel E. Caflisch, Stanley J. Osher, Hayden Schaeffer, and Giang Tran, PDEs with Compressed Solutions, November 2013

View PDF (13-66) Chong Chen and Guoliang Xu, The Linearized Split Bregman Iterative Algorithm and its Convergence Analysis for Robust Tomographic Image Reconstruction, November 2013

View PDF (13-65) Yohann Tendero and Jean-Michel Morel, On the Mathematical Foundations of Computational Photography -Does the flutter shutter Work Better at Night?, November 2013 (Revised: October 2014) (Revised March 2016)

View PDF (13-64) Wei Deng, Ming-Jun Lai, Zhimin Peng and Wotao Yin, Parallel Multi-Block ADMM with o(1/k) Convergence, November 2013 (Revised March 2014)

View PDF (13-63) Jing Xu, Hui-Bin Chang, and Jing Qin, Domain Decomposition Method for Image Deblurring, October 2013 (Revised April 2014)

View PDF (13-62) Ke Yin and Stanley Osher, On the Completeness of the Compressed Modes in the Eigenspace, October 2013

View PDF (13-61) Kun Yuan, Qing Ling, and Wotao Yin, On the Convergence of Dectralized Gradient Descent, October 2013 (Revised February 2014)

View PDF (13-60) Giang Tran and Yonggang Shi, Adaptively Constrained Convex Optimization for Accurate Fiber Orientation Estimation with High Order Spherical Harmonics, October 2013

View PDF (13-59) Jerome Darbon, On Convex Finite-Dimensional Variational Methods in Imaging Sciences, and Hamilton-Jacobi Equations, October 2013

View PDF (13-58) Farzin Barekat, On the Consistency of Compressed Modes for Variational Problems, October 2013 (Revised June 2014)

View PDF (13-57) Ka Chun Lam and Lok Ming Lui, Q-Fibra: Feature and Intensity Based Registration with Large Deformations via Quasi-Conformal Maps, October 2013 (Revised October 2013)

View PDF (13-56) Vidvuds Ozolins, Rongjie Lai, Russel Caflisch, and Stanley Osher, Compressed Plane Waves — Compactly Supported Multiresolution Basis for the Laplace Operator, October 2013

View PDF (13-55) Tsz Wai Wong and Hongkai Zhao, Computing Surface Uniformizations Using Discrete Beltrami Flow, October 2013

View PDF (13-54) Shui-Nee Chow, Jun Lu, and Hao-Min Zhou, The Shortest Path Amid 3-D Polyhedral Obstacles, October 2013

View PDF (13-53) Jackie (Jianhong) Shen, A Pre-Trade Algorithmic Trading Model under Given Volume Measures and Generic Price Dynamics (GVM-GPD), September 2013

View PDF (13-52) Xianfeng Gu, Feng Luo, Jian Sun, and Tianqi Wu, A Discrete Uniformization Theorem for Polyhedral Surfaces, September 2013

View PDF (13-51) Sungyon lee, Yvonne Stokes, and Andrea L. Bertozzi, Behavior of a Particle-Laden Flow in a Spiral Channel, September 2013

View PDF (13-50) Chong Chen, Juelin Leng, and Guoliang Xu, A General Framework of Piecewise-Polynomial Mumford-Shah Model for Image Segmentation, September 2013

View PDF (13-49) Hui Zhang, Lizhi Cheng and Wotao Yin, A Dual Algorithm for a Class of Augmented Convex Models, September 2013

View PDF (13-48) Antonio Cicone, Jingfang Liu, and Haomin Zhou, Adaptive Local Iterative Filtering for Signal Decomposition, September 2013

View PDF (13-47) Vidvuds Ozolin, Rongjie Lai, Russel Caflisch and Stanley Osher, Compressed Modes for Variational Problems in Mathematics and Physics, September 2013

View PDF (13-46) Braxton Osting, Chris D. White, and Edouard Oudet, Minimal Dirichlet Energy Partitions for Graphs, August 2013

View PDF (13-45) Vidvuds Ozolins, Rongjie Lai, Russel Caflisch, and Stanley Osher, Compressed Modes for Variational Problems in Mathematics and Physics, August 2013

View PDF (13-44) Qianqian Xu, Jiechao Xiong, Qingming Huang, and Yuan Yao, Online HodgeRank on Random Graphs for Crowdsourceable QoE Evaluation, August 2013

View PDF (13-43) Yifei Lou, Ernie Esser, Hongkai Zhao and Jack Xin, Partially Blind Deblurring of Barcode from Out-Of-Focus Blur, July 2013 (Revised June 2014)

View PDF (13-42) Yves van Gennip, Nestor Guillen, Braxton Osting, and Andrea L. Bertozzi, Mean Curvature, Threshold Dynamics, and Phase Field Theory on Finite Graphs, July 2013 (Revised May 2015).

View PDF (13-41) A. Mavromoustaki and A.L. Bertozzi, Hyperbolic Systems of Conservation Laws in Gravity-Driven Particle-Laden Thin-Film Flows, June 2013

View PDF (13-40) Russell Warren and Stanley Osher, Hyperspectral Unmixing by Bregman Splitting Constraint, June 2013

View PDF (13-39) Huibin Chang, Michael K. Ng, and Tieyong Zeng, Reducing Artifact in JPEG Decompression via a Learned Dictionary, June 2013

View PDF (13-38) Yangyang Xu and Wotao Yin, A Patch-Dictionary Method for Whole Image Recovery, June 2013

View PDF (13-37) Laurent Demanet and Xiangxiong Zhang, Eventual linear Convergence of the Douglas-Rachford Iteration for Basis Pursuit, June 2013

View PDF (13-36) Lok Ming Lui, Xianfeng Gu, and Shing-Tung Yau, Convergence of an Iterative Algorithm for Teichmuller Maps via Harmonic Energy Minimization, June 2013

View PDF (13-35) Jerome Gilles, Giang Tran and Stanley Osher, 2D Empirical Transforms. Wavelets, Ridgelets and Curvelets Revisited, June 2013 (Revised October 2013)

View PDF (13-34) B. Engquist, B. D. Froese, and Y.-H. R. Tsai, Fast Sweeping Methods for Hyperbolic Systems of Conservation Laws at Steady State, June 2013

View PDF (13-33) Jerome Gilles, Empirical Wavelet Transform, May 2013

View PDF (13-32) Travis R. Meyer, Dominik Ziegler, Christoph Brune, Alex Chen, Rodrigo Franham, Nen Huynh, Jen-Mei Chang, Andrea Bertozzi and Paul D. Ashby, Height Drift Correction in Non-Raster Atomic Force Microscopy, May 2013

View PDF (13-31) Yunmei Chen, Guanghui Lan and Yuyuan Ouyang, Optimal Primal-Dual Methods for a Class of Saddle Point Problems}, May 2013 (Revised February 2014)

View PDF (13-30) Raymond Chan, Hongfei Yang and Tieyong Zeng, A Two-Stage Image Segmentation Method for Blurry Images with Poisson or Multiplicative Γ Noise, May 2013

View PDF (13-29) Chengfeng Wen and Lok Ming Lui, Geometric Registration of High-genus Surfaces, May 2013

View PDF (13-28) Alan Mackey, Theodore Kolokolnikov, and Andrea Bertozzi, Two-Species Particle Aggregation and Stability of Co-Dimension One Solutions, May 2013

View PDF (13-27) Hayden Schaeffer, Yi Yang, Hongkai Zhao and Stanley Osher, Real-Time Adaptive Video Compression, April 2013 (Revised August 2014)

View PDF (13-26) T. Gerhart, J. Sunu, L. Lieu, E. Merkurjev, J.-M. Chang, J. Gilles, A. L. Bertozzi, Detection and Tracking of Gas Plumes in LWIR Hyperspectral Video Sequence Data, April 2013

View PDF (13-25) Huiyi Hu, Thomas Laurent, Mason A. Porter and Andrea L. Bertozzi, A Method Based on Total Variation for Network Modularity Optimization using the MBO Scheme, April 2013

View PDF (13-24) Joseph R. Zipkin, Martin B. Short and Andrea L. Bertozzi, Cops on the Dots in a Mathematical Model of Urban Crime and Police Response, April 2013

View PDF (13-23) Li Wang and Andrea L. Bertozzi, Shock Solutions for High Concentration Particle-Laden Thin Films, April 2013

View PDF (13-22) Konstantin Dragomiretskiy and Dominique Zosso, Variational Mode Decomposition, April 2013

View PDF (13-21) Penghang Yin, Ernie Esser and Jack Xin, Ratio and Difference of l₁ and l₂  Norms and Sparse Representation with Coherent Dictionaries, April 2013 (Revised July 2014)

View PDF (13-20) Yunho Kim, Strictly convex realization in two-phase image segmentation, April 2013

View PDF (13-19) Virginia Estellers, Dominique Zosso, Xavier Bresson and Jean-Philippe Thiran, Harmonic Active Contours, March 2013

View PDF (13-18) M. Hielsberg, R. Tsai, P. Guo, and C. Chen, Visibility-Based Urban Exploration and Learning Using Point Clouds, March 2013

View PDF (13-17) Hui Zhang and Wotao Yin, Gradient Methods for Convex Minimization: Better Rates Under Weaker Conditions, March 2013

View PDF (13-16) Ruiliang Zhang, Xavier Bresson, Tony F. Chan and Xue-Cheng Tai, Four Color Theorem and Convex Relaxation for Image Segmentation with Any Number of Regions

View PDF (13-15) V. Estellers, J.P. Thiran and X. Bresson, Enhanced Compressed Sensing Recovery with Level Set Normals, March 2013

View PDF (13-14) Yohann Tendero, Jean-Michel Morel and Bernard Rougé, The Flutter Shutter Paradox, March 2013

View PDF (13-13) Yohann Tendero and Jean Michel Morel, An Optimal Blind Temporal Motion Blur Deconvolution Filter, March 2013

View PDF (13-12) Tsz Ching Ng, Xianfeng Gu and Lok Ming Lui, Teichmuller Extremal Map of Multiply-connected domains using Beltrami Holomorphic Flow, March 2013

View PDF (13-11) Shui-Nee Chow, Jun Lu, Hao-Min Zhou, Fast Numerical Methods Based on SDES for Several Problems Related to the Shortest Path, February 2013

View PDF (13-10) Cristina Garcia-Cardona, Ekaterina Merkurjev, Andrea L. Bertozzi, Arjuna Flenner and Allon G. Percus, Fast Multiclass Segmentation Using Diffuse Interface Methods on Graphs, February 2013

View PDF (13-09) Gang Huang, Hong Jiang, Kim Matthews and Paul Wilford, Lensless Compressive Sensing Imaging, February 2013

View PDF (13-08) D. Barrow, I. Drayer, P. Elliott, G. Gaut, and B. Osting, Ranking Rankings: An Empirical Comparison of the Predictive Power of Sports Ranking Methods, January 2013

View PDF (13-07) Shui-Nee Chow, Ke Yin, Hao-Min Zhou and Ali Behrooz, Solving Inverse Source Problems by the Orthogonal Solution and Kernel Correction Algorithm (OSKCA) with Applications in Fluorescence Tomography, January 2013

View PDF (13-06) Dominik Ziegler, Travis R. Meyer, Rodrigo Farnham, Christophe Brune, Andrea L. Bertozzi and Paul D. Ashby, Off the Grid: Breaking the Raster Scan Paradigm in Scanning Proble Microscopy by Image Reconstruction from Position Sensor Data, January 2013

View PDF (13-05) Weihong Guo and Ming-Jun Lai, Box Spline Wavelet Frames for Image Edge Analysis, January 2013/usr/local/ftp/pub/camreport

View PDF (13-04) Weihong Guo, Jing Qin, and Wotao Yin, A new Detail-Preserving Regularity Scheme, January 2013 (Revised October 2013)

View PDF (13-03) Dominique Zosso, Giang Tran and Stanley Osher, A Unifying Retinex Model Based on Non-Local Differential Operators, January 2013

View PDF (13-02) Yuhui Quan, Hui Ji and Zuowei Shen, Data-Driven Non-Local Wavelet Frame Construction and Image Restoration, January 2013

View PDF (13-01) Ernie Esser, Yifei Lou and Jack Xin, A Method for Finding Structured Sparse Solutions to Non-negative Least Squares Problems with Applications, January 2013 (Revised June 2014)

2012

View PDF (12-85) Tsz Wai Wong and Hongkai Zhao, Computation of Quasiconformal Surface Maps Using Discrete Beltrami Flow, December 2012

View PDF (12-84) Jia Li, Zuowei Shen, Rujie Yin and Xiaoqun Zhang, A Reweighted l² Method for Image Restoration with Poisson and Mixed Poisson-Gaussian Noise, December 2012

View PDF (12-83) Cheng Tai, Xiaoqun Zhang and Zuowei Shen, Wavelet Frame Based Multi-Phase Image Segmentation, December 2012

View PDF (12-82) T. Ohtsuka, Y.-H. R. Tsai, and Y. Giga, A Level Set Approach Reflecting Sheet Structure with Single Function for Evolving Spirals on Crystal Surfaces, December 2012 (Revised February 2014)

View PDF (12-81) Jun Liu, Xue-cheng Tai, Shingyu Leung, Haiyang Huang, A New Continuous Max-flow Algorithm for Multiphase Image Segmentation using Super-level Set Functions, December 2012

View PDF (12-80) Jun Liu, Shingyu Leung, A Splitting Algorithm for Image Segmentation on Manifolds Represented by the Grid based Particle Method, December 2012

View PDF (12-79) Jun Liu, Yin-Bon Ku, Shingyu Leung, Expectation-Maximization Algorithm with Total Variation Regularization for Vector-Valued Image Segmentation, December 2012

View PDF (12-78) Lok Ming Lui, Chengfeng Wen and Xianfeng Gu, A Conformal Approach for Surface Inpainting, December 2012

View PDF (12-77) M.S. Rosin and H. Sun, Stability and Energetics of Bursian Diodes, November 2012

View PDF (12-76) Yves van Gennip, Huiyi Hu, Blake Hunter and Mason A. Porter, Geosocial Graph-Based Community Detection, November 2012

View PDF (12-75) M.J. Castro, J.M. Gallardo and A. Marquina, A New Class of Incomplete Riemann Solvers Based on Uniform Rational Approximations to the Absolute Value Function, November 2012

View PDF (12-74) Hayden Schaeffer, Stanley Osher, Russel Caflisch, Cory Hauck, Sparse Dynamics for Partial Differential Equations, November 2012 (Revised March 2013)

View PDF (12-73) Andrea L. Bertozzi, James von Brecht, Hui Sun, Theodore Kolokolnikov and David Uminsky, Ring Patterns and their Bifurcations in a Nonlocal Model of Biological Swarms, November 2012

View PDF (12-72) Sorathan Chaturapruek, Jonah Breslau, Daniel Yazdi, Theodore Kolokolnikov and Scott G. McCalla, Crime Modeling with Levy Flights, November 2012

View PDF (12-71) Lap-Fai Yu, Sai-Kit Yeung, Demetri Terzopoulos and Tony F. Chan, DressUp! Outfit Synthesis Through Automatic Optimization (ACM Transactions on Graphics (Proceeding of SIGGRAPHAsia 2012)}, November 2012

View PDF (12-70) Lok Ming Lui, Ka Chun Lam, Shing-Tung Yau and Xianfeng Gu, Teichmuller Mapping (T-Map) and its Applications to Landmark Matching Registration, November 2012

View PDF (12-69) Braxton Osting and Chiu-Yen Kao, Minimal Convex Combinations of Three Sequential Laplace-Dirichlet Eigenvalues, November 2012

View PDF (12-68) Braxton Osting and Chiu-Yen Kao, Minimal Convex Combinations of Sequential Laplace-Dirichlet Eigenvalues, November 2012

View PDF (12-67) Jianing V. Shi, Wotao Yin and Stanley J. Osher, A new Regularization Path for Logistic Regression via Linearized Bregman, October 2012

View PDF (12-66) Martin Burger, Yiqiu Dong adn Michael Hintermuller, Exact Relaxation for Classes of Minimization Problems with Binary Constraints, October 2012

View PDF (12-65) Qia Li, Lixin Shen, Yuesheng Xu, and Na Zhang, Multi-Step Proximity Algorithms for Solving a Class of Convex Optimization Problems, October 2012

View PDF (12-64) Feishe Chen, Lixin Shen, Yuesheng Xu, and Xueying Zeng, The Moreau Envelope Approach for the L1/TV Image Denoising Model, October 2012

View PDF (12-63) Feishe Chen, Lixin Shen, Bruce W. Suter, and Yuesheng Xu, A Proximity Algorithm Solving Indicator Functions Based ?1-Norm Minimization Problems in Compressive Sampling, October 2012

View PDF (12-62) A. Krol, S. Li, Lixin Shen, and Yuesheng Xu, Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction, October 2012

View PDF (12-61) Yanran Li, Lixin Shen, and Bruce W. Suter, An adaptive inpainting algorithm based on DCT induced wavelet regularization, October 2012

View PDF (12-60) Rongjie Lai, Jian Liang and Hongkai Zhao, A Local Mesh Method for Solving PDEs on Point Clouds, October 2012

View PDF (12-59) Hui Zhang, Wotao Yin and Lizhi Cheng, Necessary and Sufficient Conditions of Solution Uniqueness in 11 Minimization, October 2012

View PDF (12-58) Min Wan, Desheng Wang and Xue-Cheng Tai, Surface Reconstruction with Feature Preservation Based on Graph-cuts, October 2012

View PDF (12-57) Jerome Gilles, Multiscale Texture Separation, September 2012

View PDF (12-56) James von Brecht, Theodore Kolokolnikov, Andrea L. Bertozzi and Hui Sun, Swarming on Random Graphs, September 2012

View PDF (12-55) Haomiao Huang, Zhengyuan Zhou, Wei Zhang, Jerry Ding, Dusan M. Stipanovic, and Claire J. Tomlin, Safe-Reachable Area Cooperative Pursuit, September 2012

View PDF (12-54) Hayden Schaeffer, Active Arcs and Contours, August 2012

View PDF (12-53) Evgeni Dimitrov, Hayden Schaeffer, David Wen, Sandra Rankovic,Kizza Nandyose, and Olivier Thonnard, The Construction of a Vague Fuzzy Measure Through L¹ Parameter Optimization, August 2012

View PDF (12-52) Wei Deng and Wotao Yin, On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers, August 2012 (Revised Feb. 2014)

View PDF (12-51) Jingwei Liang, Jia Li, Zuowei Shen and Xiaoqun Zhang, Wavelet Frame Based Color Image Demosaicing, August 2012

View PDF (12-50) Peijun Chen, Jianguo Huang and Xiaoqun Zhang, A Primal-Dual Fixed Point Algorithm for Convex Separable Minimization with Applications to Image Restoration, August 2012

View PDF (12-49) Yangyang Xu, Wotao Yin, and Stanley Osher, Learning Circulant Sensing Kernels, August 2012

View PDF (12-48) Miranda Holmes-Cerfon, Wei Zhou, Andrea L. Bertozzi, Michael P. Brenner, and Michael J. Aziz, Development of Knife-Edge Ridges on Ion-Bombarded Surfaces, August 2012

View PDF (12-47) Yangyang Xu and Wotao Yin, A Block Coordinate Descent Method for Multi-Convex Optimization with Applications to Nonnegative Tensor Factorization and Completion, August 2012

View PDF (12-46) Ekaterina Merkurjev, Tijana Kostic and Andrea L. Bertozzi, An MBO Scheme on Graphs for Segmentation and Image Processing, August 2012

View PDF (12-45) Hayden Schaeffer and Luminita Vese, Active Contours with Free Endpoints, July 2012

View PDF (12-44) J.A. Dobrosotskaya and A.L. Bertozzi, Analysis of the Wavelet Ginzburg-Landau Energy in Image Applications with Edges, July 2012

View PDF (12-43) Jiangyang Zhang, Rongjie Lai, and C.-C. Jay Kuo, Adaptive Directional Total-Variation Model for Latent Fingerprint Segmentation, June 2012

View PDF (12-42) Huibin Chang and Xue-Cheng Tai, Augmented Lagrangian Methods for p-Harmonic Flows with the Generalized Penalization Terms and Application to Image Processing, June 2012

View PDF (12-41) Yves van Gennip, Blake Hunter, Raymond Ahn, Peter Elliott, Kyle Luh, Megan Halvorson, Shannon Reid, Matt Alasik, James Wo, George E. Tita, Andrea L. Bertozzi, and P. Jeffrey Brantingham, Community Detection Using Spectral Clustering on Sparse Geosocial Data, June 2012

View PDF (12-40) Jian-Feng Cai, Sibin Huang, Hui Ji, Zuowei Shen and Gui-Bo Ye, Data-Driven Tight Frame Construction and Image Denoising, June 2012

View PDF (12-39) Rongjie Lai and Stanley Osher, A Splitting Method for Orthogonality Constrained Problems, June 2012

View PDF (12-38) J. Yuan, E. Ukwatta, X.C. Tai, A. Fenster and C. Schnorr, A Fast Global Optimization-Based Approach to Evolving Contours with Generic Shape Prior, June 2012

View PDF (12-37) Y. Huang, T.P. Witelski and A.L. Bertozzi, Anomalous Exponents of Self-Similar Blow-Up Solutions to an Aggregation Equation in Odd Dimensions, May 2012

View PDF (12-36) Tom Goldstein and Judah Jacobson, Multilevel Decompositions for Sparse Signal Recovery in an Orthogonal Basis, May 2012

View PDF (12-35) Tom Goldstein, Brendan O’Donoghue, and Simon Setzer, Fast Alternating Direction Optimization Methods, May 2012 (Revised January 2014)

View PDF (12-34) Ming Yan, Yi Yang and Stanley Osher, Exact Low-Rank Matrix Completion from Sparsely Corrupted Entries via Adaptive Outlier Pursuit, May 2012

View PDF (12-33) Catherine Kublik, Nicolay M. Tanushev and Richard Tsai, An Implicit Interface Boundary Integral Method for Poisson’s Equation on Arbitrary Domains, May 2012 (Revised 7/6/12)

View PDF (12-32) Braxton Osting, Christoph Brune and Stanley Osher, Optimal Data Collection For Informative Rankings Expose Well-Connected Graphs, April 2012 (Revised June 2014)

View PDF (12-31) Yves van Gennip and Andrea L. Bertozzi, Γ-Convergence of Graph Ginzburg-Landau Functionals, April 2012 (Revised 7/9/12)

View PDF (12-30) Yifei Lou, Sung Ha Kang, Stefano Soatto and Andrea L. Bertozzi, Video Stabilization of Atmospheric Turbulence Distortion, April 2012

View PDF (12-29) Bin Dong, Yan Jiang Graves, Xun Jia and Steve B. Jiang, Optimal Surface Marker Locations for Tumor Motion Estimation in Lung Cancer Radiotherapy, April 2012

View PDF (12-28) Rongjie Lai, Yonggang Shi and Tony F. Chan, Spectral 12 Distance for Intrinsic 3D Shape Analysis, April 2012

View PDF (12-27) Xavier Bresson and Thomas Laurent, Asymmetric Cheeger Cut and Application to Multi-Class Unsupervised Clustering, April 2012

View PDF (12-26) Jian Liang, Rongjie Lai, Tsz Wai Wong and Hongkai Zhao, Geometric Understanding of Point Clouds Using Laplace-Beltrami Operator, April 2012

View PDF (12-25) Jian Liang and Hongkai Zhao, Solving Partial Differential Equations on Point Clouds, April 2012

View PDF (12-24) Hui Sun, David Uminsky and Andrea Bertozzi, Stability and Clustering of Self-Similar Solutions of Aggregation Equations, April 2012

View PDF (12-23) Yiqiu Dong and Tieyong Zeng, A Convex Variational Model for Restoring Blurred Images with Multiplicative Noise, March 2012

View PDF (12-22) Laura M. Smith, Andrea L. Bertozzi, P. Jeffrey Brantingham, George E. Tita and Matthew Valasik, Adaptation of an Animal Territory Model to Street Gang Spatial Patterns in Los Angeles, March 2012

View PDF (12-21) Yao Yao and Andrea L. Bertozzi, Blow-Up Dynamics for the Aggregation Equation with Degenerate Diffusion, March 2012

View PDF (12-20) Xiaohao Cai, Raymond Chan and Tieyong Zeng, Image Segmentation by Convex Approximation of the Mumford-Shah Model, February 2012

View PDF (12-19) Matthew Keeter, Daniel Moore, Ryan Muller, Eric Nieters, Jennifer Flenner, Susan E. Martonosi, Andrea L. Bertozzi, Allon G. Percus and Rachel Levy, Cooperative Search with Autonomous Vehicles in a 3D Aquatic Testbed, February 2012

View PDF (12-18) Jooyoung Hahn, Jie Qiu, Eiji Sugisaki, Lei Jia, Xue-Cheng Tai, and Hock Soon Seah, Stroke-Based Surface Reconstruction, February 2012

View PDF (12-17) G. Ariel, B. Engquist, Y. Lee, S. Kim, and R. Tsai, A Multiscale Method for Highly Oscillatory Dynamical Systems Using a Poincaré Map Type Technique, February 2012

View PDF (12-16) Triet Le and Facundo Memoli, Local Scales on Curves and Surfaces, February 2012

View PDF (12-15) Alexander Mamonov and Richard Tsai, Point Source Identification in Non-Linear Advection-Diffusion-Reaction Systems, February 2012

View PDF (12-14) Yi Yang, Jianwei Ma and Stanley Osher, Seismic Data Reconstruction via Matrix Completion, February 2012

View PDF (12-13) N. Murisic, B. Pausader, D. Peschka and A.L. Bertozzi, Dynamics of Particle Settling and Resuspension in Viscous Liquids, February 2012

View PDF (12-12) Rachel A. Hegemann, Erik A. Lewis and Andrea L. Bertozzi, An “Estimate& Score Algorithm” for Simultaneous Parameter Estimation and Reconstruction of Missing Data on Socal Networks, February 2012

View PDF (12-11) Shui-Nee Chow, Jun Lu and Hao-Min Zhou, A Fast Algorithm for Finding the Shortest Path by Solving Initial Value ODE’s, January 2012

View PDF (12-10) Ryo Takei, Richard Tsai, Zhengyuan Zhou, and Yanina Landa, An Efficient Algorithm for a Visibility-Based Surveillance-Evasion Game, January 2012

View PDF (12-09) Qia Li, Charles A. Micchelli, Lixin Shen, and Yuesheng Xu, A Proximity Algorithm Accelerated by Gauss-Seidel Iterations for L1/TV Denoising Models, January 2012

View PDF (12-08) Wotao Yin and Stanley Osher, Error forgetting of Bregman Iteration, January 2012 (Revised May 2012)

View PDF (12-07) Braxton Osting, Jerome Darbon and Stanley Osher, Statistical Ranking Using the l¹ -Norm on Graphs, January 2012

View PDF (12-06) James H. von Brecht and Andrea L. Bertozzi, Well-Posedness Theory for Aggregation Sheets, January 2012

View PDF (12-05) G. Ariel, J.M. Sanz-Serna, and R. Tsai, A New Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems, January 2012

View PDF (12-04) Martin Benning, Christoph Brune, Martin Burger and Jahn Muller, Higher-Order TV Methods – Enhancement via Bregman Iteration, January 2012 (Revised 7/16/12)

View PDF (12-03) Xavier Bresson, Xue-Cheng Tai, Tony F. Chan and Arthur Szlam, Multi-Class Transductive Learning based on l¹ Relaxations of Cheeger Cut and Mumford-Shah-Potts Model, January 2012

View PDF (12-02) Wei Zhu, Xue-Cheng Tai and Tony Chan, Augmented Lagrangian Method for a Mean Curvature Based Image Denoising Model, January 2012

View PDF (12-01) Mario Micheli, Yifei Lou, Stefano Soatto and Andrea L. Bertozzi, A Dynamic Texture Model for Imaging Through Turbulence, January 2012

2011

View PDF (11-88) Tijana Kostic and Andrea Bertozzi, Statistical Density Estimation using Threshold Dynamics for Geometric Motion, December 2011

View PDF (11-87) Guy Rosman, Yu Wang, Xue-Cheng Tai, Ron Kimmel and Alfred M. Bruckstein, Fast Regularization of Matrix-Valued Images, December 2011

View PDF (11-86) Jing Yuan, Brandon Miles, Juan Shi, Greg Garvin, Xue-Cheng Tai and Aaron Fenster, Efficient Convex Optimization Approaches to Variational Image Fusion, December 2011

View PDF (11-85) Jing Yuan, Egil Bae, Xue-Cheng Tai and Yuri Boykov, A Fast Continuous Max-Flow Approach to Potts Model, December 2011

View PDF (11-84) Ryan Compton, Stanley Osher and Louis-S. Bouchard, Hybrid Regularization for MRI Reconstruction with Field Inhomogeneity Correction, December 2011 (NOTE: Revised 1/9/13)

View PDF (11-83) Egil Bae, Jing Yuan and Xue-Cheng Tai, Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models, December 2011

View PDF (11-82) Egil Bae and Xue-Cheng Tai, Efficient Global Minimization Methods for Image Segmentation Models with Four Regions, December 2011

View PDF (11-81) A.Sawatzky, D.Tenbrinck, X.Jiang, and M.Burger, A Variational Framework for Region-Based Segmentation Incorporating (Revised: August 2012, 2nd revision: January 2013) Physical Noise Models, December 2011 (Revised: April 2012)

View PDF (11-80) M. Burger, J.F. Pietschmann and M.T. Wolfram, Identification of Non-linearities in Transport Diffusion Models of Crowded Motion, December 2011

View PDF (11-79) J. Chu, B. Engquist, M. Prodanovic, and R. Tsai, A Multiscale Method Coupling Network and Continuum Models in Porous Media II – Single and Two Phase Flow, November 2011

View PDF (11-78) Zhaohui Guo and Stanley Osher, Tmplate Matching via l₁ Minimization and Its Application to Hyperspectral Data, November 2011

View PDF (11-77) Alejandro Cantarero and Tom Goldstein, A Fast Method for Interface and Parameter Estimation in Linear Elliptic PDEs with Piecewise Constant Coefficients, November 2011

View PDF (11-76) Dominique Zosso, Xavier Bresson and Jean-Philippe Thiran, it Fast Geodesic Active Fields – A Splitting Scheme for Geometric Image Registration, November 2011 (Revised March 2013)

View PDF (11-75) Hayden Schaeffer and Stanley Osher, A Low Patch-Rank Interpretation of Texture, November 2011 (Revised July 2012)

View PDF (11-74) M. Moeller and M. Burger, Multiscale Methods for Polyhedral Regularizations, November 2011

View PDF (11-73) Jerome Gilles and Stanley Osher, Bregman Implementation of Meyer’s G-Norm for Cartoon + Textures Decomposition, November 2011 (Revised May 2015)

View PDF (11-72) Ming Yan, Restoration of Images Corrupted by Impulse Noise and Mixed Gaussian Impulse Noise using Blind Inpainting, November 2011 (Revised April 2013)

View PDF (11-71) Ming Yan, Yi Yang and Stanley Osher, Robust 1-bit Compressive Sensing using Adaptive Outlier Pursuit, November 2011 (Revised: March 2012

View PDF (11-70) Alethea B.T. Barbaro, Lincoln Chayes, Maria R. D’Orosnga, Territorial Developments Based on Graffiti: a Statistical Mechanics, October 2011

View PDF (11-69) Igor Yanovsky and Bjorn Lambrigtsen, Multispectral Deconvolution of Hurricane Imagery, October 2011

View PDF (11-68) Igor Yanovsky, Anthony B. Davis, and Veljko M. Jovanovic, Multilayer Separation and its Application to Separating Layers of Clouds, October 2011

View PDF (11-67) Pascal Getreuer, Melissa Tong, and Luminita Vese, Total Variation Based Rician Denoising and Deblurring, October 2011

View PDF (11-66) Bin Dong and Yong Zhang, An Efficient Algorithm for l₀ Minimization in Wavelet Frame Based Image Restoration, October 2011

View PDF (11-65) Tsz Wai Wong, Lok Ming Lui, Paul M. Thompson, Shing-Tung Yau, Tony F. Chan, Intrinsic Feature Extraction on Hippocampal Surfaces and its Applications, October 2011

View PDF (11-64) Tsz Wai Wong, Computational Quasiconformal Geometry and its Applications on Medical Morphometry and Computer Graphics, (PhD Thesis), October 2011

View PDF (11-63) Tony F. Chan, Jason Cong, Eric M. Radke, Convergent Net Weighting Schemes in Hypergraph-based Optimization, October 2011

View PDF (11-62) Jerome Gilles and Stanley Osher Fried Deconvolution, September 2011

View PDF (11-61) Jerome Gilles, Balaji R. Sharma, Will Ferenc, Hannah Kastein, Lauren Lieu, Ryan Wilson, Yuan Rick Huang, Andrea L. Bertozzi, Baisravan HomChaudhuri, Subramanian Ramakrishnan, and Manish Kumar, Robotic Swarming over the Internet, September 2011

View PDF (11-60) Rongjie Lai, Zaiwen Wen, Wotao Yin, Xianfeng Gu and Lok Ming Lui, Fast and Robust Algorithms for Harmonic Energy Minimization on Genus-0 Surfaces, September 2011

View PDF (11-59) Fetecau Razvan and Yanghong Huang, Equilibria of Biological Aggregations with Nonlocal Repulsive-Attractive Interactions, September 2011

View PDF (11-58) Virginia Estellers, Dominique Zosso, Rongjie Lai, Jean-Philippe Thiran, Stanley Osher, Xavier Bresson, An Efficient Algorithm for Level Set Method Preserving Distance Function, September 2011

View PDF (11-57) Yi Yang, Michael Moller and Stanley Osher, A Dual Split Bregman Method for Fast l¹ Minimization, September 2011 (Revised: April 2012)

View PDF (11-56) Ming Yan, General Convergent Expection Maximization (EM)-Type Algorithms for Image Reconstruction with Background Emission and Poisson Noise, September 2011

View PDF (11-55) Rongjie Lai, Xue-Cheng Tai and Tony F. Chan A Ridge and Corner Preserving Model for Surface Restoration, September 2011

View PDF (11-54) Shingyu Leung, John Lowengrub and Hongkai Zhao, A Grid Based Particle Method for Solving Partial Differential Equations on Evolving Surfaces and Modeling High Order Geometrical Motion, August 2011

View PDF (11-53) Shingyu Leung, An Eulerian Approach for Computing the Finite Time Lyapunov Exponent, August 2011

View PDF (11-52) Shingyu Leung and Stanley Osher, An Alterating Direction Explicit (ADE) Scheme for Time-Dependent Evolution Equations, August 2011

View PDF (11-51) Rongjie Lai, Yonggang Shi, Nancy Sicotte and Arthur Toga, Automated Corpus Callosum Extraction via Laplace-Beltrami Nodal Parcellation and Intrinsic Geodesic Curvature Flows on Surfaces (accepted in ICCV 2011), August 2011

View PDF (11-50) Alex Chen, Andrea L. Bertozzi, Paul D. Ashby, Pascal Getreuer and Yifei Lou, Enhancement and Recovery in Atomic Force Microscopy Images, August 2011

View PDF (11-49) Lap-Fai Yu, Sai-Kit Yeung, Chi-Keung Tang, Demetri Terzopoulos, Tony F. Chan, Stanley Osher, Make it Home: Automatic Optimization of Furniture Arrangement. ACM Transactions on Graphics (Proceeding of SIGGRAPH 2011), August 2011

View PDF (11-48) Andrea L. Bertozzi, Thomas Laurent, and Flavien Leger, Aggregation Via the Newtonian Potential and Aggregation Patches, July 2011

View PDF (11-47) Alex Sawatzky, (Nonlocal) Total Variation in Medical Imaging, (Ph.D. Thesis), July 2011

View PDF (11-46) Yin-Tat Lee and Triet M. Le, Active Controu Without Edges for Multiphase Segmentations with the Presence of Poisson Noise, July 2011

View PDF (11-45) Wenbing Tao and Xue-Cheng Tai, A General Graph Decomposition and Minimum Cuts Composition Framework for Min-Cut Problem, July 2011

View PDF (11-44) Ying Gu, Li-Lian Wang and Xue-Cheng Tai, A Direct Approach Towards Global Minimization for Multiphase Labeling and Segmentation Problems, July 2011

View PDF (11-43) Weihong Guo and Wotao Yin, Edge Guided Reconstruction for Compressive Imaging, July 2011

View PDF (11-42) Benjamin P. Fahimian, Yunzhe Zhao, Russell Fung, Yu Mao, Chun Zhu, Zhifeng Huang, Maryam Khatonabadi, John J. DeMarco, Stanley J. Osher, Michael F. McNitt-Gray and Jianwei Miao, Radiation Dose Reduction in Medical CT Through Equally Sloped Tomography, July 2011

View PDF (11-41) Martin Benning, Singular Regularization of Inverse Problems. Bregman Distances and their Applications to Variational Frameworks with Singular Regularization Energies (Ph.D. Thesis), July 2011

View PDF (11-40) Chunlin Wu, On the Continuity of Images by Transmission Imaging, June 2011

View PDF (11-39) Yonggang Shi, Rongjie Lai, Raja Gill, Daniel Pelletier, David Mohr, Nancy Sicotte and Arthur W. Toga, Conformal Metric Optimization on Surface (CMOS) for Deformation and Mapping in Laplace-Beltrami Embedding Space, June 2011

View PDF (11-38) Jacob Bedrossian, Part I: A Virtual Node Method for Elliptic Interface Problems. Part II: Local and Global Theory of Aggregation Equations with Nonlinear Diffusion, (Ph.D. Thesis), June 2011

View PDF (11-37) Nancy Rodriguez, Applied Partial Differential Equations in Crime Modeling and Biological Aggregation, (Ph.D. Thesis), June 2011

View PDF (11-36) Matthew Ross Mata, Particle-laden Thin Film Flow: An Alternating Direction Implicit Scheme and Comparison Between Theory, Numerical Simulations, and Experiments, (Ph.D. Thesis), June 2011

View PDF (11-35) Wangyi Liu, Two Dynamical System Models Based on Real-World Scenarios: a Swarming Control Model and a Surface Tension Model (Ph.D. Thesis), June 2011

View PDF (11-34) James von Brecht, David Uminsky, Theodore Kolokolnikov and Andrea Bertozzi, Predicting Pattern Formation in Particle Interactions, May 2011

View PDF (11-33) J. Chu, B. Engquist, M. Prodanovic, and R. Tsai, A Multiscale Method Coupling Network and Continuum Models in Porous Media I †Single Phase Flow, May 2011

View PDF (11-32) Yong Zhang, Bin Dong, and Zhaosong Lu, l₀ Minimization for Wavelet Frame Based Image Restoration, May 2011 (Revised September 2011) (Revised October 2011)

View PDF (11-31) Russel Warren, Stanley Osher and Richard Vanderbeek, Multiple Aerosol Unmixing by the Split Bregman Algorithm, May 2011

View PDF (11-30) Andreas Langer, Stanley Osher and Carola-Bibiane Schonlieb, Bregmanized Domain Decomposition for Image Restoration, May 2011

View PDF (11-29) Bin Dong, Jia Li and Zuowei Shen, X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting, April 2011 (Revised 12/3/12)

View PDF (11-28) Hao Gao, Hongkai Zhao and Stanley Osher, Quantitative Photoacoustic Tomography, April 2011

View PDF (11-27) Andrea L. Bertozzi and Arjuna Flenner, Diffuse Interface Models on Graphs for Classification of High Dimensional Data, April 2011

View PDF (11-26) Hao Gao, Yuting Lin, Chang Beom Ahn and Orhan Nalcioglu, PRISM: A Divide-and-Conquer Low-Rank and Sparse Decomposition Model for Dynamic MRI, April 2011

View PDF (11-25) Nicolay M. Tanushev, Richard Tsai, Sergey Fomel and Bjorn Engquist, Gaussian beam decomposition for seismic migration, April 2011

View PDF (11-24) Bin Dong and Zuowei Shen, Wavelet Frame Based Surface Reconstruction from Unorganized Points, April 2011

View PDF (11-23) Yu Mao, Reconstruction of Binary Functions and Shapes from Incomplete Frequency Information, April 2011

View PDF (11-22) Jian-Feng Cai, Bin Dong, Stanley Osher and Zuowei Shen, Image Restoration: Total Variation: Wavelet Frams: and Beyond, March 2011 (Revised April 11, 2012) (Revised “final version”: May 30, 2012)

View PDF (11-21) Charles A. Micchelli, Lixin Shen. Yuesheng Xu, and Xueying Zeng, Proximity Algorithms for Image Models II: L1/TV Denoising, March 2011

View PDF (11-20) Li-Lian Wang, Yuying Shi and Xue-Cheng Tai, Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method, March 2011

View PDF (11-19) Juan Shi, Min Wan, Xue-Cheng Tai and Desheng Wang, Curvature Minimization for Surface Reconstruction with Features, March 2011

View PDF (11-18) Weihua Tong and Xuecheng Tai, A Variational Approach for Detecting Feature Lines on Meshes, March 2011

View PDF (11-17) Sai-Kit Yeung, Tai-Pang Wu, Chi-Keung Tang, Tony F. Chan, Stanley Osher, Adequate Reconstruction of Transparent Objects on a Shoestring Budget, March 2011

View PDF (11-16) Jian Liang, Frederick Park, and Hongkai Zhao Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation, March 2011

View PDF (11-15) Carl Lederman, Two Dimensional Image Denoising Using Partial Differential Equations with a Constraint on High Dimensional Domains, March 2011

View PDF (11-14) Alexey Stomakhin, Martin B. Short and Andrea L. Bertozzi, Reconstruction of Missing Data in Social Networks Based on Temporal Patterns of Interactions, March 2011

View PDF (11-13) Wenye Ma, Jean-Michel Morel, Stanley Osher and Aichi Chien, An L₁ -based Variational Model for Retinex Theory and Its Applications to Medical Images, March 2011

View PDF (11-12) M. Burger, M. Di Francesco, and M. Franek, Stationary States of Quadratic Diffusion Equations with Long-Range Attraction, February 2011

View PDF (11-11) M. Hintermuller, C.-Y. Kao and A. Laurain, Principal Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions, February 2011

View PDF (11-10) Jun Liu, Xue-cheng Tai, Haiyang Huang and Zhongdan Huan, A Fast Segmentation Method Based on Constraint Optimization and Its Applications: Intensity Inhomogeneity and Texture Segmentation, February 2011

View PDF (11-09) Yingying Li, Stanley Osher and Richard Tsai, Heat Source Identification Based on L₁ Constrained Minimization, February 2011 (Revised version: Jan. 2014)

View PDF (11-08) Martin Burger, Michael Moller, Martin Benning and Stanley Osher, An Adaptive Inverse Scale Space Method for Compressed Sensing, February 2011

View PDF (11-07) Yangyang Xu, Wotao Yin, Zaiwen Wen, and Yin Zhang, An Alternating Direction Algorithm for Matrix Completion with Nonnegative Factors February 2011

View PDF (11-06) Ernie Esser, Michael Moller, Stanley Osher, Guillermo Sapiro and Jack Xin, A Convex Model for Non-Negative Matrix Factorization and Dimensionality Reduction on Physical Space, February 2011 (Revised March 2012)

View PDF (11-05) Sai-Kit Yeung, Chi-Keung Tang, Michael S. Brown, Sing Bing Kang, Matting and Compositing of Transparent and Refractive Objects, January 2011

View PDF (11-04) Yingying Li, Stanley Osher and Richard Tsai, Heat Source Identification Based on L¹ Constrained Minimization, January 2011

View PDF (11-03) Shantanu H. Joshi, Antonio Marquina, Stanley J. Osher, Ivo Dinov, Arthur W. Toga and John D. Van Horn, Fast Edge-Filtered Image Upsampling, January 2011

View PDF (11-02) Yifei Lou, Local, Non-local and Global Methods in Image Reconstruction, (Ph.D. thesis), January 2011

View PDF (11-01) Hao Gao, Hengyong Yu, Stanley Osher and Ge Wang, Multi-energy CT Based on a Prior Rank, Intensity and Sparsity Model (PRISM), January 2011 (Revised June 2011)

2010

View PDF (10-91) Wangyi Liu, Andrea L. Bertozzi and Theodore Kolokolnikov, Diffuse Interface Surface Tension Models in an Expanding Flow, December 2010

View PDF (10-90) Hui Sun, David Uminsky and Andrea L. Bertozzi, A Generalized Birkhoff-Rott Equation for 2D Active Scalar Problems, December 2010

View PDF (10-89) Andrea L. Bertozzi, John B. Garnett and Thomas Laurent, Characterization of Radially Symmetric Finite Time Blowup in Multidimensional Aggregation Equations, December 2010

View PDF (10-88) Yanghong Huang and Andrea L. Bertozzi, Asymptotics of Blowup Solutions for the Aggregation Equation, December 2010

View PDF (10-87) Frederick Park, Image Segmentation Using Clique Based Shape Prior and the Mumford Shah Functional , December 2010

View PDF (10-86) Yu Mao and Jerome Gilles, Non Rigid Geometric Distortions Correction — Application to Atmospheric Turbulence Stabilization, December 2010 (Revised September 2011)

View PDF (10-85) Shingyu Leung and Jianliang Qian, The Backward Phase Flow and FBI-Transform-Based Eulerian Gaussian Beams for the Schrodinger Equation, December 2010

View PDF (10-84) Jianliang Qian and Lexing Ying, Fast Multiscale Gaussian Wavepack Transforms and Multiscale Gaussian Beams for the Wave Equation, December 2010

View PDF (10-83) Jianliang Qian and Lexing Ying, Fast Gaussian Wavepacket Transforsm and Gaussian Beams for the Schrodinger Equation, December 2010

View PDF (10-82) Carl Lederman, Anand Joshi, Ivo Dinov, John Darrell Van Horn, Allan Garcia, Kevin Chan, Luminita Vese and Arthur Toga, Automatic Structural Brain Registration Using Finite Elements and Active Surfaces, December 2010 (Revised March, 2011)

View PDF (10-81) Jianliang Qian, Plamen Stefanov, Gunther Uhlmann and Hongkai Zhao, A New Numerical Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed, December 2010

View PDF (10-80) Wenye Ma, Meng Yu, Jack Xin and Stanley Osher, A Convex Model and l₁ Minimization for Musical Noise Reduction in Blind Source Separation, December 2010 (Revised March 2011)

View PDF (10-79) Hao Gao, Jian-Feng Cai, Zuowei Shen and Hongkai Zhao, Robust Principle Component Analysis Based Four-Dimensional Computed Tomography, December 2010

View PDF (10-78) Rachel A. Hegemann, Laura M. Smith, Alethea Barbaro, Andrea L. Bertozzi, Shannon E. Reid, and George E. Tita, Geographical Influences of an Emerging Network of Gang Rivalries, December 2010 (Revised: May 2011)

View PDF (10-77) Zaiwen Wen and Wotao Yin, A Feasible method for Optimization with Orthogonality Constraints, October 2010

(10-76) Yunho Kim, John B. Garnett, and Luminita A. Vese, Image restoration using one-dimensional Sobolev norm profiles of noise and texture, October 2010

View PDF (10-75) Prashant Athavale and Eitan Tadmor, Integro-Differential Equations Based on (BV, L¹ ) Image Decomposition, October 2010

View PDF (10-74) Matthew R. Mata and Andrea L. Bertozzi, A Numerical Scheme for Particle-Laden Thin Film Flow in 2-D, October 2010

View PDF (10-73) David Uminsky, C. Eugene Wayne and Alethea Barbaro, A Multi-Moment Vortex Method for 2D Viscous Fluids, October 2010

View PDF (10-72) M. Elsey, S. Esedoglu and P. Smereka, Large Scale Simulations and Parameter Study for a Simple Recrystallization Model, October 2010

View PDF (10-71) Michael Moller, Ernie Esser, Stanley Osher, Guillermo Sapiro and Jack Xin, A Convex Model for Matrix Factorization and Dimensionality Reduction on Physical Space and Its Application to Blind Hyperspectral Unmixing, October 2010

View PDF (10-70) Nicolette Meshkat, Christopher R. Anderson and Joseph J. DiStefano, III, Finding Identifiable Parameter Combinations in Nonlinear ODE Models and the Rational Reparameterization of their Input-Output Equations, October 2010

View PDF (10-69) Bin Dong and Zuowei Shen, MRA-based wavelet frames and applications, IAS Lecture Notes Series, Summer Program on “The Mathematics of Image Processing”, Park City Mathematics Institute, 2010. (Revised October 2011)

View PDF (10-68) M. Gonzalez, X. Huang, B. Irvine, D. S. Hermina Martinez, C. H. Hsieh, Y. R. Huang, M. B. Short, and A. L. Bertozzi, A Third Generation Micro-vehicle Testbed for Cooperative Control and Sensing Strategies October 2010

View PDF (10-67) Ryo Takei and Richard Tsai, Optimal Trajectories of Curvature Constrained Motion in the Hamilton-Jacobi Formulation, October 2010

View PDF (10-66) Yanghong Huang, Self-Similar Blowup Solutions of the Aggregation Equation (Ph.D. Thesis), September 2010

View PDF (10-65) I.N. Figueiredo, S. Prasath, Y.-H.R. Tsai and P.N. Figueiredo, Automatic Detection and Segmentation of Colonic Polyps in Wireless Capsule Images, September 2010

View PDF (10-64) Triet M. Le, Local Scales on Curves and Surfaces, September 2010

View PDF (10-63) Triet Le and Luke Rogers, Detecting Stable Scales in Images via Non-Smooth K-Functionals, September 2010

View PDF (10-62) Egil Bae, Jing Yuan, Xue-Cheng Tai and Yuri Boykov, A Fast Continuous Max-Flow Approach to Non-Convex Multilabeling Problems, September 2010 (Revised: June 2012)

View PDF (10-61) Jing Yuan, Egil Bae, Xue-Cheng Tai and Yuri Boykov, A Study on Continuous Max-Flow and Min-Cut Approaches, September 2010

View PDF (10-60) M. Keegan, B. Sandberg and T. Chan, A Logic Framework for Multiphase Multichannel Image Segmentation, September 2010

View PDF (10-59) Jian Ye, Todd Wittman, Xavier Bresson, and Stanley Osher, Segmentation for Hyperspectral Images with Priors, September 2010

View PDF (10-58) Mario Micheli, Peter W. Michor and David Mumford, Sectional Curvature in Terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks, September 2010

View PDF (10-57) YunYun Yang, Chunming Li, Chiu-Yen Kao and Stanley Osher, Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation, September 2010

View PDF (10-56) Gil Ariel, Bjorn Engquist, and Richard Tsai, Oscillatory Systems with Three Separated Time Scales — Analysis and Computation, September 2010

View PDF (10-55) Charles A. Micchelli, Lixin Shen, and Yuesheng Xu, Proximity Algorithms for Image Models: Denoising, September 2010

View PDF (10-54) Theodore Kolokolnikov, Hui Sun, David Uminsky, and Andrea L. Bertozzi, Ring Patterns and their Stability in 2D Kinematic Particle Aggregation Models August 2010

View PDF (10-53) Sung Ha Kang, Berta Sandberg and Andy Yip, Multiphase Scale Segmentation and a Regularized K-means, August 2010

View PDF (10-52) Hailiang Liu, Olof Runborg and Nicolay M. Tanushev, Error Estimates for Gaussian Beam Superpositions, August 2010

View PDF (10-51) Jing Yuan, Juan Shi and Xue-Cheng Tai, A Convex and Exact Approach to Discrete Constrained TV-L1 Image Approximation, August 2010

View PDF (10-50) Wenhua Gao and Andrea Bertozzi, Level Set Based Multispectral Segmentation With Corners, August 2010

View PDF (10-49) Jacob Bedrossian, Nancy Rodriguez and Andrea Bertozzi, Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion, July 2010

View PDF (10-48) Yanina Landa, Nicolay M. Tanushev and Richard Tsai, Discovery of Point Sources in the Helmholtz Equation Posed in Unknown Domains with Obstacles, July 2010

View PDF (10-47) Xue-Cheng Tai, Jooyoung Hahn and Gnmo Jason Chung, A Fast Algorithm for Euler’s Elastica Model Using Augmented Lagrangian Method, July 2010

View PDF (10-46) Guy Rosman, Xue-Cheng Tai, Lorina Dascal and Ron Kimmel, Polyakov Action Minimization for Efficient Color Image Processing, July 2010

View PDF (10-45) Shui-Nee Chow, Wen Huang, Yao Li and Haomin Zhou, Fokker-Planck Equations for a Free Energy Functional or Markov Process on a Graph, July 2010

View PDF (10-44) Ethan S. Brown, Tony F. Chan, and Xavier Bresson, Completely Convex Formulation of the Chan-Vese Image Segmentation Model, July 2010, (Revised September 2011)

View PDF (10-43) Ethan S. Brown, Tony F. Chan, and Xavier Bresson, A Convex Relaxation Method for a Class of Vector-valued Minimization Problems with Applications to Mumford-Shah Segmentation, July 2010

View PDF (10-42) Hao Gao, Hongkai Zhao and Stanley Osher, Bregman Methods in Quantitative Photoacoustic Tomography, July 2010

View PDF (10-41) Tom Goldstein and Simon Setzer, High-Order Methods for Basis Pursuit, July 2010

View PDF (10-40) Nicolay M. Tanushev, Richard Tsai and Bjorn Engquist, A Coupled Finite Difference – Gaussian Beam Method for High Frequency Wave Propagation, July 2010

View PDF (10-39) Dongming Wei, Shi Jin, Richard Tsai, and Xu Yang, A Level Set Method for the Semiclassical Limit of the Schrodinger Equation with Discontinuous Potentials, July 2010

View PDF (10-38) E. Lewis, G. Mohler, P. J. Brantingham, and A. L. Bertozzi, Self-Exciting Point Process Models of Civilian Deaths in Iraq, June 2010

View PDF (10-37) L.M. Lui, T.W. Wong, P.M. Thompson, T.F. Chan, X.F. Gu and S.T. Yau, Compression of Surface Registration Using Beltrami Coefficients, June 2010

View PDF (10-36) Michalis Raptis, Alper Ayvaci and Stefano Soatto, Occlusion Detection and Motion Estimation via Convex Optimization, June 2010 (Revised February 2011)

View PDF (10-35) Rongjie Lai, Computational Differential Geometry and Intrinsic Surface Processing (Ph.D. Thesis), June 2010

View PDF (10-34) Shui-Nee Chow, Tzi-Sheng Yang and Haomin Zhou, Global Optimizations by Intermittent Diffusion, June 2010

(10-33) Luminita Vese, Paper to be uploaded soon

View PDF (10-32) Meng Yu, Wenye Ma, Jack Xin and Stanley Osher, A Convex Speech Extraction Model and fast Computation by the Split Bregman Method, (NOTE: this combines and extends the results of CAM 10-15 and CAM 10-16), June 2010

View PDF (10-31) John Ernest Esser, Primal Dual Algorithms for Convex Models and Applications to Image Restoration, Registration and Nonlocal Inpainting (Ph.D. thesis), June 2010

View PDF (10-30) Jooyoung Hahn, Chunlin Wu and Xue-Cheng Tai, Augmented Lagrangian Method for Generalized TV-Stokes Model, June 2010

View PDF (10-29) Min Wan, Yu Wang, Egil Bae, Xue-Cheng Tai and Desheng Wang, Reconstructing Open Surfaces via Graph-Cuts, June 2010

View PDF (10-28) Egil Bae, Juan Shi and Xue-Cheng Tai, Graph Cuts for Curvature Based Image Denoising, June 2010

View PDF (10-27) Ming Yan, Convergence Analysis of SART by Bregman Iteration and Dual Gradient Descent, June 2010

View PDF (10-26) Gil Ariel, Bjorn Engquist, Nicolay M. Tanushev and Richard Tsai, Gaussian Beam Decomposition of High Frequency Wave Fields Using Expectation-Maximization, June 2010

View PDF (10-25) Rongjie Lai and Tony F. Chan A Framework for Intrinsic Image Processing on Surfaces, June 2010

View PDF (10-24) Jian-Feng Cai and Stanley Osher, Fast Singular Value Thresholding Without Singular Value Decomposition, May 2010

View PDF (10-23) Guy Rosman, Lorina Dascal, Xue-Cheng Tai and Ron Kimmel, On Semi-Implicit Splitting Schemes for the Beltrami Color Image Filtering, May 2010

View PDF (10-22) Bin Dong, Aichi Chien and Zuowei Shen, Frame Based Segmentation for Medical Images, May 2010

View PDF (10-21) Adam Oberman, Stanley Osher, Ryo Takei, and Richard Tsai, Numerical Methods for Smooth and Crystalline Mean Curvature Flow, May 2010

View PDF (10-20) L.M. Lui, W. Zeng, S.T. Yau and X.F. Gu, Shape Analysis of Planar Objects with Arbitrary Topologies Using Conformal Geometry, May 2010

View PDF (10-19) W. Zeng, L.M. Lui, F. Luo, T.F. Chan, S.T. Yau and X.F. Gu, Computing Quasiformal Maps on Riemann Surfaces Using Discrete Curvature Flow, May 2010

View PDF (10-18) L.M. Lui, T.W. Wong, W. Zeng, X.F. Gu, P.M. Thompson, T.F. Chand and S.T. Yau, Optimization of Surface Registrations Using Beltrami Holomorphic Flow, May 2010

View PDF (10-17) B.P. Fahimian, Y. Mao, P. Cloetens and J. Miao, Low Dose X-Ray Phase-Contrast and Absorption CT Using Equally-Sloped Tomography, May 2010

View PDF (10-16) Wenye Ma, Meng Yu, Jack Xin and Stanley Osher, Reducing Musical Noise in Blind Source Separation by Time-Domain Sparse Filters and Split Bregman Method, April 2010

View PDF (10-15) Meng Yu, Wenye Ma, Jack Xin and Stanley Osher, Convexity and Fast Speech Extraction by Split Bregman Method, April 2010

View PDF (10-14) Dominique Zosso, Xavier Bresson and Jean-Philippe Thiran, Geodesic Active Fields — A Geometric Framework for Image Registration, April 2010

View PDF (10-13) Wenye Ma and Stanley Osher, A TV Bregman Iterative Model of Retinex Theory, April 2010

View PDF (10-12) Weihong Guo and Wotao Yin, EdgeCS: Edge Guided Compressive Sensing Reconstruction, March 2010

View PDF (10-11) Antoni Buades, Triet M. Le, Jean-Michel Morel and Luminita Vese, Fast Cartoon + Texture Image Filters, March 2010

View PDF (10-10) Alex Chen, Todd Wittman, Alexander Tartakovsky, and Andrea Bertozzi, Efficient Boundary Trakcing Through Sampling, March 2010

View PDF (10-09) N. Murisic, J. Ho, V. Hu, P. Latterman, T. Koch, K. Lin, M. Mata and A. Bertozzi, Particle-Laden Viscous Thin-Film Flows on an Incline: Experiments Compared with an Equilibrium Theory, February 2010

View PDF (10-08) Jue Yan and Stanley Osher, A New Discontinuous Galerkin Method for Hamilton-Jacobi Equations, February 2010

View PDF (10-07) Rostislav Gorosbin, Quyen Huynh and H.M. Zhou, Approximate Solutions to Several Visibility Optimization Problems, February 2010

View PDF (10-06) Arthur Szlam, Zhaohui Guo and Stanley Osher, A Split Bregman Method for Non-Negative Sparsity Penalized Least Squares with Applications to Hyperspectral Demixing, February 2010

View PDF (10-05) Christopher R. Anderson, A Rayleigh-Chebyshev Procedure For Finding the Smallest Eigenvalues and Associated Eigenvectors of Large Sparse Hermitian Matrices, January 2010

View PDF (10-04) Ernie Esser, A convex Model for Image Registration, January 2010

View PDF (10-03) Donald Goldfarb and Shiqian Ma, Fast Multiple Splitting Algorithms for Convex Optimization, January 2010 (Revised March 2011)

View PDF (10-02) Donald Goldfarb, Shiqian Ma and Katya Scheinberg, Fast Alternating Linearization Methods for Minimizing the Sum of Two Convex Functions, January 2010

View PDF (10-01) Jian Ye, Xavier Bresson, Tom Goldstein and Stanley Osher, A Fast Variational Method for Surface Reconstruction from Sets of Scattered Points, January 2010

2009

View PDF (09-104) Edward Castillo and Hongkai Zhao, Point Cloud Segmentation via Constrained Nonlinear Least Squares Surface Normal Estimates, December 2009

View PDF (09-103) Zhaohui Guo and Stanley Osher, Template Matching via l₁ Minimization and Its Application to Hyperspectral Target Detection, December 2009 (Revised version: May 2010)

View PDF (09-102) Nancy Rodriguez and Andrea Bertozzi, Local Existence and Uniqueness of Solutions to a PDE Model for Criminal Behavior, December 2009

View PDF (09-101) Alexandre Borghi, Jerome Darbon and Sylvain Peyronnet, Exact Optimization for the l¹ -Compressive Sensing Problem using a Modified Dantzig-Wolfe Method, December 2009

View PDF (09-100) Laura M. Smith, Matthew S. Keegan, Todd Wittman, George O. Mohler and Andrea L. Bertozzi, Improving Density Estimation by Incorporating Spatial Information, December 2009

View PDF (09-99) Xiaoqun Zhang, Martin Burger and Stanley Osher, A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration, November 2009

View PDF (09-98) J. Ye, I. Yanovsky, B. Dong, R. Gandlin, A. Brandt and S. Osher, Multigrid Narrow Band Surface Reconstruction via Level Set Functions, November 2009

View PDF (09-97) Songting Luo, Yifeng Yu and Hongkai Zhao, A New Approximation for Effective Hamiltonians for Homogenization of a Class of Hamilton-Jacobi Equations, November 2009

View PDF (09-96) Hao Gao and Hongkai Zhao, Multilevel Bioluminescence Tomography Based on Radiative Transfer Equation. Part 2: Total Variation and l1 Data Fidelity, November 2009

View PDF (09-95) Hao Gao and Hongkai Zhao, Multilevel Bioluminescence Tomography Based on Radiative Transfer Equation. Part 1: l1 Regularization, November 2009

View PDF (09-94) Hao Gao and Hongkai Zhao, A Fast Forward Solver of Radiative Transfer Equation, November 2009

View PDF (09-93) Matt Elsey, Selim Esedoglu and Peter Smereka, Diffusion Generated Motion for Recrystallization and Grain Growth, November 2009

View PDF (09-92) Jing Xu, Xue-Cheng Tai and Li-Lian Wang, A Two-Level Domain Decomposition Method for Image Restoration, November 2009

View PDF (09-91) Zhijian Rong, Li-Lian Wang and Xue-Cheng Tai, Adaptive Wavelet Collocation Methods for Image Segmentation Using TV-Allen-Cahn Type Models, November 2009

View PDF (09-90) Tom Goldstein, A Multilevel Decomposition Method for Sparse Signal Recovery in a Fourier Basis, November 2009

View PDF (09-89) Yanghong Huang and Andrea L. Bertozzi, Self-Similar Blowup Solutions to an Aggregation Equation in R^N , November 2009

View PDF (09-88) Miyoun Jung, Elena Resmerita and Luminita A. Vese, Dual Norm Based Iterative Methods for Image Restoration, November 2009

View PDF (09-87) Miyoun Jung, Xavier Bresson, Tony F. Chan, Luminita A. Vese, Nonlocal Mumford-Shah Regularizers for Color Image Restoration, November 2009

View PDF (09-86) Andrea L. Bertozzi, Thomas Laurent and Jesus Rosado, L^p Theory for the Multidimensional Aggregation Equation, November 2009

View PDF (09-85) John B. Garnett, Triet M. Le, and Luminita A. Vese, {Some Variational Problems from Image Processing}, November 2009

View PDF (09-84) Ginmo Jason Chung and Xue-Cheng Tai, A Variational Multiphase Model based on the Piecewise Constant Level Set Method and Phase Transitions, October 2009

View PDF (09-83) Judah Jacobson, A Formalization of Darcs Patch Theory Using Inverse Semigroups, October 2009

View PDF (09-82) Chunlin Wu, Juyong Zhang and Xue-Cheng Tai, Augmented Lagrangian Method for Total Variation Restoration with Non-Quadratic Fidelity, October 2009

View PDF (09-81) Paul A. Jones, Jeffrey Brantingham and Lincoln R. Chayes, Statistical Models of Criminal Behavior: The Effects of Law Enforcement Actions, October 2009

View PDF (09-80) Miyoun Jung, Antonio Marquina and Luminita A. Vese, Variational Multiframe Restoration of Images Degraded by Noisy (Stochastic) Blur Kernels, September 2009

View PDF (09-79) Yilun Wang and Wotao Yin, Compressed Sensing via Iterative Support Detection}, September 2009

View PDF (09-78) Carola-Bibiane Schönlieb and Andrea Bertozzi, Unconditionally Stable Schemes for Higher Order Inpainting, September 2009

View PDF (09-77) Tom Goldstein, Xavier Bresson and Stanley Osher, Global Minimization of Markov Random Fields with Applications to Optical Flow, September 2009

View PDF (09-76) Chunlin Wu and Xue-Cheng Tai, Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models, September 2009

View PDF (09-75) Egil Bae, Jing Yuan and Xue-Cheng Tai, Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach, September 2009 (Revised April 2010)

View PDF (09-74) Ryo Takei, Richard Tsai, Haochong Shen and Yanina Landa, A Practical Path-planning Algorithm for a Vehicle with a Constrained Turning Radius: a Hamilton-Jacobi Approach, September 2009

View PDF (09-73) Yanina Landa, Haochong Shen, Ryo Takei and Yen-Hsi R. Tsai, Autonomous Source Discovery and Navigation in Complicated Environments, September 2009

View PDF (09-72) Jian-Feng Cai, Zuowei Shen and Gui-Bo Ye, Approximation of Frame Based Missing Data Recovery, September 2009

View PDF (09-71) Shingyu Leung and Hongkai Zhao, Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method, September 2009

View PDF (09-70) Jingyue Wang and Bradley J. Lucier, Error Bounds for Finite-Difference Methods for Rudin-Osher-Fatemi Image Smoothing, September 2009

View PDF (09-69) Yu Mao, Bin Dong and Stanley Osher, A Nonlinear PDE-based Method for Sparse Deconvolution, August 2009

View PDF (09-68) Arthur Szlam and Xavier Bresson, A Total Variation-based Graph Clustering Algorithm for Cheeger Ratio Cuts, August 2009

View PDF (09-67) Ernie Esser, Xiaoqun Zhang and Tony Chan, A General Framework for a Class of First Order Primal-Dual Algorithms for TV Minimization, August 2009

View PDF (09-66) Ethan S. Brown, Tony F. Chan, and Xavier Bresson, A Convex Approach for Multi-phase Piecewise Constant Mumford-Shah Image Segmentation, July 2009 (NOTE: Revised July 2010)

View PDF (09-65) Mark Tygert, A Fast Algorithm for Computing Minimal-Norm Solutions to Underdetermined Systems of Linear Equations, July 2009

View PDF (09-64) Xiaoqun Zhang and Tony F. Chan, Wavelet Inpainting by Nonlocal Total Variation, July 2009

View PDF (09-63) Yujie Lu, Xiaoqun Zhang, Ali Douraghy, David Stout, Jie Tian, Tony F. Chan and Arion F. Chatziioannou, Source Reconstruction for Spectrally-resolved Bioluminescence Tomography with Sparse A priori Information, July 2009

View PDF (09-62) Toni Buades, Yifei Lou, J.M. Morel and Zhongwei Tang, A Note on Multi-Image Denoising, July 2009

View PDF (09-61) Jian-Feng Cai, Hui Ji, Chaoqiang Liu and Zuowei Shen, Blind Motion Deblurring from a Single Image Using a Sparse Approximation, July 2009

View PDF (09-60) Jian-Feng Cai, Hui Ji, Chaoqiang Liu and Zuowei Shen, High-Quality Curvelet-Based Motion Deblurring from an Image Pair, July 2009

View PDF (09-59) Jian-Feng Cai, Hui Ji, Chaoqiang Liu and Zuowei Shen, Blind Motion Deblurring Using Multiple Images, June 2009

View PDF (09-58) Igor Yanovsky, Alex Leow, Suh Lee, Stanley Osher, Paul Thompson, Comparing Registration Methods for Mapping Brain Change using Tensor-Based Morphometry, June 2009

View PDF (09-57) Stanley Osher and Joseph Teran, Crashing Waves, Awesome Explosions, Turbulent Smoke and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry, June 2009

View PDF (09-56) G. Sundaramoorthi, S. Soatto and A.J. Yezzi, Curious Active Contours, June 2009

View PDF (09-55) Hailiang Liu and James Ralston, Recovery of High Frequency Wave Fields for the Acoustic Wave Equation, June 2009

View PDF (09-54) Xue-Cheng Tai and Yuping Duan, Domain Decomposition Methods with Graph Cuts Algorithms for Image Segmentation, June 2009

View PDF (09-53) Egil Bae and Xue-Cheng Tai, Efficient Global Optimization for the Multiphase Chan-Vese Model of Image Segmentation by Graph Cuts, June 2009

View PDF (09-52) Chunlin Wu and Xuecheng Tai, A Level Set Formulation of Geodesic Curvature Flow on Simplicial Surfaces, June 2009

View PDF (09-51) Tungyou Lin, Carole Le Guyader, Ivo Dinov, Erh-Fang Lee, Paul Thompson, Arthur Toga and Luminita Vese, A Landmark-Based Image Registration Model Using a Nonlinear Elasticity Smoother for Mapping Mouse Atlas to Gene Expression Data, June 2009

View PDF (09-50) Bin Dong, Aichi Chien, Zuowei Shen and Stanley Osher, A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery, June 2009

View PDF (09-49) Andrea L. Bertozzi and Thomas Laurent, The Behavior of Soutions of Multidimensional Aggregation Equations with Mildly Singular interaction Kernels, May 2009

View PDF (09-48) Mark Tygert, A Fast Algorithm for Computing Minimal-Norm Solutions to Underdetermined Systems of Linear Equations, May 2009

View PDF (09-47) Christoph Brune, Alex Sawatzky and Martin Burger, Primal and Dual Bregman Methods with Application to Optical Nanoscopy, May 2009

View PDF (09-46) Minh Ha-Quang, Sung-Ha Kang, and Triet M. Le, Image and Video Colorization Using Vector-Valued Reproducing Kernel Hilbert Spaces, May 2009

View PDF (09-45) Hailiang Liu and Jaemin Shin, Global Well-Posedness for the Microscopic Fene Model with a Sharp Boundary Condition, May 2009

View PDF (09-44) Hailiang Liu and Jue Yan, The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections, May 2009

View PDF (09-43) Ganesh Sundaramoorthi, Peter Petersen and Stefano Soatto, On the Set of Images Modulo Viewpoint and Contrast Changes, May 2009

View PDF (09-42) Wotao Yin, Analysis and Generalizations of the Linearized Bregman Method, May 2009

View PDF (09-41) Hailiang Liu and James Ralston, Recovery of High Frequency Wave Fields from Phase Space Based Measurements, May 2009

View PDF (09-40) M. Benning and M. Burger, Error Estimates for Variational Models with Non-Gaussian Noise, April 2009

View PDF (09-39) Matt Elsey, Selim Esedoglu and Peter Smereka, Diffusion Generated Motion for Grain Growth in Two and Three Dimensions, April 2009

View PDF (09-38) Bin Dong, Applications of Variational Models and Partial Differential Equations in Medical Image and Surface Processing, (Ph.D. Thesis), April 2009

View PDF (09-37) J.A. Dobrosotskaya and A.L. Bertozzi, Wavelet Analogue of the Ginzburg-Landau Energy and its Γ-Convergence, April 2009

View PDF (09-36) Nicolay M. Tanushev, Bjorn Engquist and Richard Tsai, Gaussian Beam Decomposition of High Frequency Wave Fields, April 2009

View PDF (09-35) Arthur Szlam and Guillermo Sapiro, Discriminative k-Metrics, April 2009

View PDF (09-34) Carola-Bibiane Schonlieb, Andrea Bertozzi, Martin Burger and Lin He, Image Inpainting Using a Fourth-Order Total Variation Flow, April 2009

View PDF (09-33) J.A. Carrillo, M. Difrancesco, A. Figalli, T. Laurent and D. Slepcev, Global-In-Time Weak Measure Solutions, Finite-Time Aggregation and Confinement for Nonlocal Interaction Equations, April 2009

View PDF (09-32) Nawal Houhou, Xavier Bresson, Arthur Szlam, Tony F. Chan and Jean-Pilippe Thiran, Semi-Supervised Segmentation Based on Non-Local Continuous Min-Cut, April 2009

View PDF (09-31) Ernie Esser, Applications of Lagrangian-Based Alternating Direction Methods and Connections to Split Bregman, April 2009

View PDF (09-30) Zhaohui Guo, Todd Wittman and Stanley Osher, L1 Unmixing and Its Application to Hyperspectral Image Enhancement, March 2009

View PDF (09-29) Selim Esedoglu, Steven Ruuth, and Richard Tsai, Diffusion Generated Motion Using Signed Distance Functions, March 2009

View PDF (09-28) Jian-Feng Cai, Stanley Osher and Zuowei Shen, Split Bregman Methods and Frame Based Image Restoration, March 2009

View PDF (09-27) Yu Mao, Benjamin Fahimian, Stanley Osher and Jianwei Miao, Development and Optimization of Regularized Tomographic Reconstruction Algorithms Utilizing Equally-Sloped Tomography, March 2009

View PDF (09-26) Junfeng Yang, Yin Zhang and Wotao Yin, An Efficient TVL1 Algorithm for Deblurring Multichannel Images Corrupted by Impulsive Noise, March 2009

View PDF (09-25) Zaiwen Wen, Wotao Yin, Donald Goldfarb and Yin Zhang, A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization and Continuation, March 2009

View PDF (09-24) Junfeng Yang, Yin Zhang and Wotao Yin, A Fast TVL1-L2 Minimization Algorithm for Signal Reconstruction from Partial Fourier Data, March 2009

View PDF (09-23) Shiqian Ma, Wotao Yin, Yin Zhang and Amit Chakraborty, An Efficient Algorithm for Compressed MR IMaging using Total Variation and Wavelets, March 2009

View PDF (09-22) Andrea L. Bertozzi and Dejan Slepcev, Existence and Uniqueness of Solutions to an Aggregation Equation with Degenerate Diffusion, March 2009

View PDF (09-21) Michael Moeller, Todd Wittman, and Andrea Bertozzi, A Variational Approach to Hyperspectral Image Fusion, March 2009

View PDF (09-20) George O. Mohler, Andrea L. Bertozzi, Thomas A. Goldstein, and Stanley J. Osher, Fast TV Regularization for 2D Maximum Penalized Likelihood Estimation, March 2009

View PDF (09-19) Lok Ming Lui, Tsz Wai Wong, Xianfeng Gu, Tony Chan and Shing-Tung Yau, Representation and Property Adjustments of Surface Diffeomorphisms using Beltrami Holomorphic Flow, March 2009

View PDF (09-18) Wangyi Liu, Martin B. Short and Andrea L. Bertozzi, Collaborative Searching Through Swarming, March 2009

View PDF (09-17) Yingying Li and Stanley Osher, Coordinate Descent Optimization for l¹ Minimization with Application to Compressed Sensing; a Greedy Algorithm, March 2009

View PDF (09-16) Marc Droske and Andrea Bertozzi, Higher-Order Feature-Preserving Geometric Regularization, February 2009

View PDF (09-15) Yifei Lou, Andrea Bertozzi and Stefano Soatto, Direct Sparse Deblurring, (Same as Technical Report UCLA CSD080020, July 4, 2008, http://fmdb.cs.ucla.edu/Treports/080020.pdf), February 2009

View PDF (09-14) Shoudong Han, Wenbing Tao, Desheng Wang, Xue-cheng Tai and Xianglin Wu, Image Segmentation Based on GrabCut Framework Integrating Multi-scale Nonlinear Structure Tensor, February 2009

View PDF (09-13) Wenbing Tao and Xue-cheng Tai, Multiple Piecewise Constant Active Contours for Image Segmentation Using Graph Cuts Optimization, February 2009

View PDF (09-12) Xue-Cheng Tai, Sofia Borok and Jooyoung Hahn, Image Denoising Using TV-Stokes Equation with an Orientation-Matching Minimization, February 2009

View PDF (09-11) Hailiang Liu and Jue Yan, The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems, February 2009

View PDF (09-10) Li (Luke) Tian, Colin B. Macdonald and Steven J. Ruuth, Segmentation on Surfaces with the Closest Point Method, February 2009

View PDF (09-09) Miyoun Jung and Luminita A. Vese, Image Restoration via Nonlocal Mumford-Shah Regularizers, February 2009

View PDF (09-08) J.M. Sanz-Serna, G. Ariel, and R. Tsai, Multiscale Methods for Stiff Constrained Mechanical Systems, February 2009

View PDF (09-07) Miyoun Jung, Ginmo Chung, Ganesh Sundaramoorthi, Luminita A. Vese, and Alan L. Yuille, Sobolev gradients and joint variational image segmentation, denoising and deblurring, February 2009

View PDF (09-06) Tom Goldstein, Xavier Bresson and Stanley Osher, Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction, February 2009 (Revised July 2009)

View PDF (09-05) Xue-Cheng Tai and Chunlin Wu, Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model, January 2009

View PDF (09-04) Jean-Francois Aujol, Said Ladjal and Simon Masnou, Exemplar-Based Inpainting from a Variational Point of View, January 2009

View PDF (09-03) Xiaoqun Zhang, Martin Burger, Xavier Bresson and Stanley Osher, Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction, January 2009

View PDF (09-02) Alex Chen, Todd Wittman, Alexander Tartakovsky and Andrea Bertozzi, Image Segmentation Through Efficient Boundary Sampling, January 2009

View PDF (09-01) Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward and Andrea L. Bertozzi, Self-Similarity in Particle Laden Flows at Constant Volume, January 2009

2008

View PDF (08-81) Michael Moeller, Todd Wittman and Andrea L. Bertozzi, Variational Wavelet Pan-Sharpening, December 2008

View PDF (08-80) Nicolette Meshkat, Marisa Eisenberg and Joseph J. DiStefano, III, November 2008

View PDF (08-79) Lok Ming Lui, Tsz Wai Wong, Wei Zeng, Xianfeng Gu, Paul M. Thompson, Tony F. Chan and Shing-Tung Yau, Detecting Local Shape Abnormalities using Yamabe Flow and Beltrami Coefficients, November 2008 (NOTE: Revised version posted June 2010)

View PDF (08-78) Shiqian Ma, Donald Goldfarb and Lifeng Chen, Fixed Point and Bregman Iterative Methods for Matrix Rank Minimization, November 2008

View PDF (08-77) Jian-Feng Cai, Emmanuel J. Candes and Zuowei Shen, A Singular Value Thresholding Algorithm for Matrix Completion, November 2008

View PDF (08-76) Emmanuel J. Candes and Benjamin Recht, Exact Matrix Completion via Convex Optimization, November 2008

View PDF (08-75) Vincent Israel-Jost, Jerome Darbon, Elsa Angelini and Isabelle Bloch, November 2008

View PDF (08-74) Adam Oberman, Ryo Takei and Alexander Vladimirsky, Homogenization of Metric Hamilton-Jacobi Equations, November 2008

View PDF (08-73) Yingying Li and Stanley Osher, A New Median Formula with Applications to PDE Based Denoising, October 2008 (Revised July 2009)

View PDF (08-72) Shingyu Leung and Hongkai Zhao, A Grid Based Particle Method for Evolution of Open Curves and Surfaces, October 2008

View PDF (08-71) Natalie Grunewald and Inwon Kim, A Gradient Flow Approach to a Free Boundary Droplet Model, October 2008

View PDF (08-70) Wen Yang, Andrea L. Bertozzi and Xiaofan Wang, Stability of a Second Order Consensus Algorithm with Time Delay, October 2008

View PDF (08-69) Arthur Szlam and Guillermo Sapiro, Supervised Learning via Discriminative k q-Falts, October 2008

View PDF (08-68) Yunho Kim, Paul M. Thompson and Luminita A. Vese, HARDI data denoising using vectorial total variation and logarithmic barrier, October 2008 (NOTE: Revised April 2010)

View PDF (08-67) X. Bresson and T.F. Chan, Non-local Unsupervised Variational Image Segmentation Models, October 2008

View PDF (08-66) Loic Denis, Florence Tupin, Jerome Darbon and Marc Sigelle, Joint Regularization of Phase and Amplitude of InSAR Data: Application to 3D Reconstruction, September 2008

View PDF (08-65) Bin Dong, Eric Savitsky and Stanley Osher, A Novel Method for Enhanced Needle Localization Using Ultrasound-Guidance, September 2008

View PDF (08-64) Alexandre Borghi, Jerome Darbon, Sylvain Peyronnet, Tony F. Chan and Stanley Osher, A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures, September 2008 (Revised August 2009)

View PDF (08-63) Bin Dong, Aichi Chien, Yu Mao, Jian Ye and Stanley Osher, Level Set Based Surface Capturing in 3D Medical Images, September 2008

View PDF (08-62) Shantanu H. Joshi, Antonio Marquina, Stanley Osher, Ivo Dinov, John Darrell Van Horn and Arthur Toga, Image Resolution Enhancement and Its Applications to Medical Image Processing, September 2008

View PDF (08-61) Jerome Darbon, Global Optimization for First Order Markov Random Fields with Submodular Priors, September 2008 (Revised April 2009)

View PDF (08-60) Vladimir Rokhlin, Arthur Szlam, and Mark Tygert, A Randomized Algorithm for Principal Component Analysis, September 2008

View PDF (08-59) Shingyu Leung and Jianliang Qian, Eulerian Gaussian Beams for Schrodinger Equations in the Semi-Classical Regime, August 2008

View PDF (08-58) Shi Jin, Hao Wu and Xu Yang, Gausian Beam Methods for the Schrodinger Equation in the Semi-Classical Regime: Lagrangian and Eulerian Formulations, August 2008

View PDF (08-57) Jian-Feng Cai, Stanley Osher and Zuowei Shen, Linearized Bregman Iterations for Frame-Based Image Deblurring, August 2008

View PDF (08-56) Arthur Szlam, Non-Local Means for Audio Denoising, August 2008

View PDF (08-55) Mark Roden, An Anisotropic Noise Reduction Technique Using Semi-Local Edge Detection, and a Target Application, August 2008

(08-54) Ginmo Chung, Ivo Dinov, Arthur Toga and Luminita A. Vese, MRI Tissue Segmentation Using a Variational Multilayer Approach, July 2008

View PDF (08-53) Andrea L. Bertozzi, Jose A. Carrillo, and Thomas Laurent, Blowup in Multidimensional Aggregation Equations with Mildly Singular Interaction Kernels, July 2008

View PDF (08-52) Jian-Feng Cai, Stanley Osher and Zuowei Shen, Convergence of the Linearized Bregman Iteration for l₁ -Norm Minimization, July 2008

View PDF (08-51) Tin Man Lee, Mathematical Models and Techniques for Medical Imaging, (Ph.D. thesis), July 2008

View PDF (08-50) Junfeng Yang, Wotao Yin, Yin Zhang and Yilun Wang, A Fast Algorithm for Edge-Preserving Variational Multichannel Image Restoration, July 2008

View PDF (08-49) Chris Anderson, Efficient Solution of the Schroedinger-Poisson Equations in Layered Semiconductor Devices, July 2008

View PDF (08-48) Weihong Guo and Feng Huang, A Local Mutual Information Guided Denoising and Its Application to Self-calibrated Partially Parallel Imaging, July 2008

View PDF (08-47) Kangyu Ni, Xavier Bresson, Tony Chan and Selim Esedoglu, Local Histogram Based Segmentation Using the Wasserstein Distance, July 2008

View PDF (08-46) Jianing Shi, Wotao Yin, Stanley Osher and Paul Sajda, A Fast Algorithm for Large Scale l₁ -Regularized Logistic Regression, July 2008

View PDF (08-45) Lok Ming Lui, Computational Conformal Geometry and Its Applications to Human Brain Mapping (Ph.D. thesis), July 2008

View PDF (08-44) Mingqiang Zhu, Fast Numerical Algorithms for Total Variation Based Image Restoration (Ph.D. thesis), July 2008

View PDF (08-43) Yanina Landa, Nicolay M. Tanushev, Richard Tsai and Martin Burger, Discovering Point Sources in Unknown Environments, July 2008

(08-42) Jerome Darbon, A Simple Efficient Combinatorial Algorithm for Discrete Total Variation Minimization: ROF and the s,t-minimum-cut problem, July 2008

View PDF (08-41) M.Burger, L.He and C.Schoenlieb, CAHN-HILLIARD INPAINTING AND A GENERALIZATION FOR GRAYVALUE IMAGES, June 2008

View PDF (08-40) Vincent Duval, Jean-Fancois Aujol and Luminita Vese, A Projected Gradient Algorithm for Color Image Decomposition, July 2008

View PDF (08-39) Kang-Yu Ni, Variational PDE-Based Image Segmentation and Inpainting with Applications in Computer Graphics, (Ph.D. thesis), June 2008

View PDF (08-37) Stanley Osher, Yu Mao, Bin Dong and Wotao Yin, Fast Linearized Bregman Iteration for Compressive Sensing and Sparse Denoising, June 2008

View PDF (08-36) Egil Bae and Xue-Cheng Tai, Graph Cuts for the Multiphase Mumford-Shah Model Using Piecewise Constant Level Set Methods, June 2008

View PDF (08-35) Yifei Lou, Xiaoqun Zhang, Stanley Osher and Andrea Bertozzi, Image Recovery via Nonlocal Operators, May 2008 (NOTE: Revised September 2009)

View PDF (08-34) Mingqiang Zhu and Tony Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Variation Image Restoration, May 2008

View PDF (08-33) Mingqiang Zhu, Stephen J. Wright and Tony F. Chan, Duality-Based Algorithms for Total Variation Image Restoration, May 2008

View PDF (08-32) Yilun Wang, Junfeng Yang, Wotao Yin and Yin Zhang, A New Alternating Minimization Algorithm for Total Variation Image Reconstruction, May 2008

View PDF (08-31) Nebojsa Murisic, Instabilities of Volatile Films and Drops, (Ph.D. Thesis), May 2008

View PDF (08-30) Igor Yanovsky, Unbiased Nonlinear Image Registration, (Ph.D. Thesis), May 2008

View PDF (08-29) Tom Goldstein and Stanley Osher, The Split Bregman Algorithm for L1 Regularized Problems, April 2008

View PDF (08-28) Yanina Landa and Richard Tsai, Visibility of Point Clouds and Exploratory Path Planning in Unknown Environments, April 2008

View PDF (08-27) Igor Yanovsky, Carole Le Guyader, Alex Leow, Paul Thompson and Luminita Vese, Unbiased Volumetric Registration via Nonlinear Elastic Regularization, April 2008

View PDF (08-26) Yifei Lou, Paolo Favaro, Stefano Soatto and Andrea Bertozzi, Nonlocal Similarity Image Filtering, April 2008 (Revised July 2009)

View PDF (08-25) Shibin Dai, On the Shortening Rate of Collections of Plane Convex Curves by the Area-Preserving Mean Curvature Flow, April 2008

View PDF (08-24) Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li and Jianlin Xia, Some Fast Algorithms for Hierarchically Semiseparable Matrices, April 2008

View PDF (08-23) Alan J. Laub and Jianlin Xia, Fast Condition Estimation for a Class of Structured Eigenvalue Problems, April 2008

View PDF (08-22) Arthur Szlam, Modifications of k q-Flats for Supervised Learning, April 2008

View PDF (08-21) Andrea L. Bertozzi and Jeremy Brandman, Finite-Time Blow-up of L^∞ -weak Solutions of an Aggregation Equation, April 2008

View PDF (08-20) Yanina Landa, Visibility of Point Clouds and Exploratory Path Planning in Unknown Environments, (Ph.D. Thesis), April 2008

View PDF (08-19) Antonin Chambolle and Jerome Darbon, On Total Variation Minimization and Surface Evolution using Parametric Maximum Flows, April 2008 (Revised April 2009)

View PDF (08-18) Andrea L. Bertozzi, Ning Ju and Hsiang-Wei Lu, A Biharmonic-Modified Forward Time Stepping Method for Fourth Order Nonlinear Diffusion Equations, April 2008

View PDF (08-17) Chiu-Yen Kao, Stanley Osher and Jianliang Qian, Legendre-Transform-Based Fast Sweeping Methods for Static Hamilton-Jacobi Equations on Triangulated Meshes, April 2008

View PDF (08-16) Carole Le Guyader and Luminita Vese, A Combined Segmentation and Registration Framework with a nonlinear Elasticity Smoother, March 2008

View PDF (08-15) Yunho Kim and Luminita Vese, Image Recovery Using Functions of Bounded Variation and Sobolev Spaces of Negative Differentiability, March 2008

View PDF (08-14) Lok Ming Lui, Sheshadri Thiruvenkadam, Yalin Wang, Paul Thompson and Tony Chan, Optimized Conformal Parameterizations of Cortical Surfaces Using Shape Based Landmark Matching, March 2008

View PDF (08-13) Selim Esedoglu and Dejan Slepcev, Refined Upper Bounds on the Coarsening Rate of Discrete, Ill-Posed Diffusion Equations, March 2008

View PDF (08-12) Thomas J. Asaki, Pavlo Cherepanov, Matthew Sottile and Kevin R. Vixie, Image Denoising By Regularization on Characteristic Graphs, March 2008

View PDF (08-11) Benjamin Cook, Oleg Alexandrov and Andrea Bertozzi, Linear Stability of Particle-Laden Thin Films, March 2008

View PDF (08-10) M.B. Short, M.R. D’Orsogna, V.B. Pasour, G.E. Tita, P.J. Brantingham, A.L. Bertozzi and L.B. Chayes, A Statistical Model of Criminal Behavior, March 2008

View PDF (08-09) Nicolas Forcadel, Carole Le Guyader, and Christian Gout, Generalized Fast Marching Method: Applications to Image Segmentation, March 2008

View PDF (08-08) Shingyu Leung and Hongkai Zhao, A Grid Based Particle Method for Moving Interface Problems, February 2008

View PDF (08-07) Qiya Hu, Xue-Cheng Tai and Ragnar Winther, A Saddle Point Approach to the Computation of Harmonic Maps, February 2008

View PDF (08-06) Jian-Feng Cai, Stanley Osher and Zuowei Shen, Linearized Bregman Iterations for Compressed Sensing, February 2008

View PDF (08-05) Eitan Tadmor, Suzanne Nezzar, and Luminita Vese, Multiscale Hierarchical Decomposition of Images with Applications to Deblurring, Denoising and Segmentation, February 2008

View PDF (08-04) Hsiang-Wei Lu, Fluid Dynamics of an Electrowetting Drop: Theories, simulations, and Experiments, Ph.D. Thesis, January 2008

View PDF (08-03) Yalin Wang, Ilhwan Jo, Stephen Wong, Shing-Tung Yau and Tony F. Chan, Segmentation and Tracking of 3D Neuron Microscopy Images Using a PDE Based Method and Connected Component Labeling Algorithm January 2008

View PDF (08-02) Berta Sandberg, Sung Ha Kang, and Tony F. Chan, Unsupervised Multi-Phase Segmentation: A Phase Balancing Model, January 2008 (revised March 2009)

View PDF (08-01) Jerome Darbon, Alexandre Cunha, Tony F. Chan, Stanley Osher and Grant J. Jensen, Fast Nonlocal Filtering Applied to Electron Cryomicroscopy, January 2008

2007

View PDF (07-54) Sheshadri R. Thiruvenkadam, Tony F. Chan and Byung-Woo Hong, Variational Approach to Natural Image Matting, December 2007

View PDF (07-53) Hsiang-Wei Lu, Frederic Bottausci, Jesse Fowler, Andrea L. Bertozzi, Carl Meinhart, and Chang-Jin “CJ” Kim, A Study of EWOD-Driven Droplets by PIV Investigation, to appear in Lab on a Chip, December 2007

View PDF (07-52) Lin He, Stefan Kindermann and Mourad Sini, Reconstruction of Shapes and Impedance Functions Using Few Farfield Measurements, November 2007

View PDF (07-51) Michael K. Ng, Guoping Qiu and Andy M. Yip, A Study of Interactive Multiple Class Image Segmentation Problems, November 2007

View PDF (07-50) D. Krishnan, Quang Vinh Pham and Andy M. Yip, A Primal-Dual Active-Set Algorithm for Bilaterally Constrained Total Variation Deblurring and Piecewise Constant Mumford-Shah Segmentation Problems, November 2007

View PDF (07-49) Igor Yanovsky, Paul Thompson, Stanley Osher and Alex Leow, Asymmetric and Symmetric Unbiased Image Registration: Statistical Assessment of Performance, November 2007

View PDF (07-48) Erlend Hodneland, Xue-Cheng Tai and Hans-Herman Gerdes, Four-Color Theorem and Level Set Methods for Watershed Segmentation, November 2007

View PDF (07-47) Gil Ariel, Bjorn Engquist, and Richard Tsai. A Multiscale Method for Weakly Coupled Oscillators, November 2007

View PDF (07-46) Jim Bremer, Yoel Shkolnisky and Arthur Szlam, Image Denoising Using Diffusion on Curvelet-Scaled Gabor Filter Responses, November 2007

View PDF (07-45) Jerome Darbon, Global Optimization for First Order Markov Random Fields with Submodular Priors, October 2007

View PDF (07-44) Bin Dong, Jian Ye, Stanley Osher and Ivo Dinov, Level Set Based Nonlocal Surface Restoration, October 2007

View PDF (07-43) Yan Nei Law, Hwee Kuan Lee and Andy M. Yip, A Multi-resolution Stochastic Level Set Method for Mumford-Shah Image Segmentation, October 2007

View PDF (07-42) Benjamin Patrick Cook, Lubrication Models for Particle-Laden Thin Films, (Ph.D. Thesis), October 2007

View PDF (07-41) Benjamin P. Cook, A Theory for Particle Settling and Shear-Induced Migration in Thin Film Flow, October 2007

View PDF (07-40) Zhipu Jin and Andrea L. Bertozzi, Environmental Boundary Tracking and Estimation Using Multiple Autonomous Vehicles, October 2007

View PDF (07-39) Nicolay M. Tanushev, Gaussian Beams for the Wave Equation, September 2007

View PDF (07-38) Loic Denis, Florence Tupin, Jerome Darbon and Marc Sigelle, SAR Image Regularization with Fast Approximate Discrete Minimization, September 2007 (Revised April 2009)

View PDF (07-37) Wotao Yin, Stanley Osher, Jerome Darbon and Donald Goldfarb, Bregman Iterative Algorithms for Compessed Sensing and Related Problems, September 2007

View PDF (07-36) Bin Dong, Yu Mao, Ivo D. Dinov, Zhuowen Tu, Yonggang Shi, Yalin Wang and Arthur W. Toga, Wavelet-Based Representation of Biological Shapes, September 2007

View PDF (07-35) M. Bachmayr and M. Burger, Iterative Total Variation Schemes for Nonlinear Inverse Problems September 2007

View PDF (07-34) Yunmei Chen and Weihong Guo, A Local Nonparametric Model for Simultaneous Image Segementation and Adaptive Smooth, September 2007

View PDF (07-33) Kangyu Ni, Sheshadri Thiruvenkadam and Tony Chan, Matting Through Variational Inpainting, September 2007

View PDF (07-32) Julia A. Dobrosotskaya and Andrea L. Bertozzi, A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting, September 2007

View PDF (07-31) Matthew Elsey and Selim Esedoglu, Analogue of the Total Variation Denoising Model in the Context of Geometry Processing, August 2007

View PDF (07-30) Sheshadri R. Thiruvenkadam, Tony F. Chan and Byung-Woo Hong, Segmentation Under Occlusions Using Selective Shape Prior, August 2007

View PDF (07-29) A. Buades, A. Chien, J.M. Morel and S. Osher, Topology Preserving Linear Filtering Applied to Medical Imaging, August 2007

(07-28) Mark C. Moelich, Logic Models for Segmentation and Tracking (Ph.D. Dissertation), August 2007

View PDF (07-27) Arthur Szlam, Asymptotic Regularity of Subdivisions of Euclidean Domains by Iterated PCA and Iterated 2-Means, August 2007

View PDF (07-26) Alex D. Leow and Siwei Zhu, Tensor Distribution Function (revised Nov. 2007), August 2007

View PDF (07-25) X. Bresson and T.F. Chan, Fast Minimization of the Vectorial Total Variation Norm and Applications to Color Image Processing, August 2007

View PDF (07-24) Jeremy Brandman, A Level-Set Method for Computing the Eigenvalues of Elliptic Operators Defined on Compact Hypersurfaces, July 2007 ( NOTE: Revised May 2008 with new title)

View PDF (07-23) Guy Gilboa and Stanley Osher, Nonlocal Operators with Applications to Image Processing, July 2007

(07-22) ( NOTE: See CAM 08-32 for a significantly revised version of this paper) Yilun Wang, Wotao Yin and Yin Zhang, A Fast Algorithm for Image Deblurring with Total Variation Regularization, July 2007

View PDF (07-21) John B. Garnett, Peter W. Jones, Triet M. Le and Luminita A. Vese, Modeling Oscillatory Components with the Homogeneous Spaces BMO^-a and W^-α,p, July 2007

View PDF (07-20) Carole Le Guyader and Luminita Vese, Self-Repelling Snakes for Topology-Preserving Segmentation, July 2007

View PDF (07-19) Selim Esedoglu and Peter Smereka, A Variational Formulation for a Level Set Representation of Multiphase Flow and Area Preserving Curvature Flow, July 2007

View PDF (07-18) Antonio Marquina and Stanley Osher, Image Super-Resolution by TV-Regularization, July 2007

View PDF (07-17) Gil Ariel, Bjorn Engquist, and Richard Tsai, A Multiscale Method for Stiff Ordinary Differential Equations with Resonance, June 2007

View PDF (07-16) Li-Tien Cheng and Yen-Hsi Tsai, Redistancing by Flow of Time Dependent Eikonal Equation, June 2007

View PDF (07-15) Chiaming Wang, Tungyou Lin and Russel Caflisch, Particle Simulation of Coulomb Collisions: Comparing the Methods of Takizuka & Abe and Nanbu, May 2007

View PDF (07-14) Russel E. Caflisch and Dionisios Margetis, Anisotropic Step Stiffness From a Kinetic Model of Epitaxial Growth, May 2007

View PDF (07-13) Youri Bae and Russel E. Caflisch, Strain in Layered Nanocrystals, May 2007

View PDF (07-12) Oddvar Christiansen, Tin Man Lee, Johan Lie, Usha Sinha, and Tony Chan, Total Variation Regularization of Matrix Valued Images, May 2007

View PDF (07-11) Peter W. Jones and Triet M. Le, Local Scales and Multiscale Image Decompositions, May 2007

View PDF (07-10) Jianing Shi and Stanley Osher, A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model, April 2007 (NOTE: Revised version — May 2008)

View PDF (07-09) Jianhong (Jackie) Shen and Sung Ha Kang, Quantum TV and Applications in Image Processing, April 2007

View PDF (07-08) James H. von Brecht, Sheshadri R. Thiruvenkadam and Tony Chan, Occlusion Tracking with Logic Models, April 2007

View PDF (07-07) Thomas C. Cecil, Stanley J. Osher and Jianliang Qian, Essentially Non-Oscillatory Adaptive Tree Methods, March 2007

View PDF (07-06) Martin Burger, Christina Stocker and Axel Voigt, Finite Element Based Level Set Methods for Higher Order Flows, March 2007

View PDF (07-05) Igor Yanovsky, Paul Thompson, Stanley Osher, Luminita Vese, and Alex Leow, Multiphase Segmentation of Deformation using Logarithmic Priors, March 2007

View PDF (07-04) Nicolay M. Tanushev and Luminita A. Vese, A Piecewise-Constant Binary Model for Electrical Impendance Tomography, March 2007

View PDF (07-03) D. Krishnan, P. Lin and Andy M. Yip, A Primal-Dual and Active-Set Method for Non-Negativity Constrained Total Variation Deblurring Problems, February 2007

View PDF (07-02) Eric Chung, Jianliang Qian, Gunther Uhlmann and Hong-Kai Zhao, A New Phase Space Method for Recovering Index of Refraction from Travel Times, February 2007

View PDF (07-01) Martin Burger, Elena Resmerita and Lin He, Error Estimation for Bregman Iterations and Inverse Scale Space Methods in Image Restoration, February 2007

2006

View PDF (06-72) Benjamin P. Cook, Andrea L. Bertozzi and A. E. Hosoi, Shock Solutions for Particle-Laden Thin Films, December 2006

View PDF (06-71) Igor Yanovsky, Paul Thompson, Stanley Osher and Alex Leow, Large Deformation Unbiased Diffeomorphic Nonlinear Image Registration: Theory and Implementation, December 2006

View PDF (06-70) Yao-li Chuang, Stability and Scalability of 2D Swarming Patterns, (Ph.D. Thesis), December 2006

View PDF (06-69) Xinwei Zhang, Jiun-Shyan Chen and Stanley Osher, A Multiple Level Set Method for Modeling Grain Boundary Evolution of Polycrystalline Materials, December 2006

View PDF (06-68) Simon P. Morgan and Kevin R. Vixie, L^1TV Computes the Flat Norm for Boundaries, December 2006

View PDF (06-67) Erlend Hodneland, Xue-Cheng Tai, Joachim Weickert, Nickolay V. Bukoreshtliev, Arvid Lundervold and Hans-Hermann Gerdes, Level Set Methods for Watershed Image Segmentation, December 2006

View PDF (06-66) Yuan Rick Huang, An Embedded Autonomous Multi-Vehicle Testbed for Development of Cooperative Control Algorithms (Masters Thesis), December 2006

View PDF (06-65) Alan Gillette, Image Inpainting Using a Modified Cahn-Hilliard Equation, (Ph.D. Thesis), December 2006

View PDF (06-64) Igor Yanovsky and Alex D. Leow, An Information Theory Approach to Nonlinear Image Registration, November 2006

View PDF (06-63) Kirsten Morris and Carmeliza Navasca, Iterative Solution of Algebraic Riccati Equations for Damped Systems, November 2006

View PDF (06-62) Carmeliza Navasca, Ani Asatryan, Vatche Attarian, Yuan R. Huang, Keven K. Leung, Abhijeet Joshi, Vlad Voroninski, Meghdi Aboulian, Krystle McBride, Implementations of Control Laws for Motion Camouflage in a Pursuit-Evasion System, November 2006

View PDF (06-61) Talal Rahman, Xue-Cheng Tai and Stanley Osher, A TV-Stokes Denoising Algorithm, November 2006

View PDF (06-60) Jerome Darbon, A Note on the Discrete Binary Mumford-Shah Model, November 2006

View PDF (06-59) Ingrid Daubechies, Gerd Teschke, and Luminita Vese, Iteratively Solving Linear Inverse Problems under General Convex Constraints, October 2006

View PDF (06-58) Tony Chan, Selim Esedoglu and Kangyu Ni, Histogram Based Segmentation Using Wasserstein Distances, October 2006

View PDF (06-57) Guy Gilboa, Jerome Darbon, Stanley Osher and Tony Chan, Nonlocal Convex Functionals for Image Regularization, October 2006

View PDF (06-56) Lin He and Stanley Osher, Solving the Chan-Vese Model by a Multiphase Level Set Algorithm Based on the Topological Derivative, October 2006

View PDF (06-55) Russel Caflisch, Unfolding Square Root Singularities in the 2D Boussinesq Equations, October 2006

View PDF (06-54) Steven Ruuth and Barry Merriman, A Simple Embedding Method for Solving Partial Differential Equations on Surfaces October 2006

View PDF (06-53) Paolo Favaro, Stefano Soatto, Martin Burger and Stanley Osher, Shape from Defocus via Diffusion October 2006

View PDF (06-52) Tony Chan, Berta Sandberg and Mark Moelich, Some Recent Developments in Variational Image Segmentation, September 2006

View PDF (06-51) Y. Landa, D. Galkowski, Y. R. Huang, A. Joshi, C. Lee, K. K. Leung, G. Malla, J. Treanor, V. Voroninski, A. L. Bertozzi, and R. Tsai, Robotic Path Planning and Visibility with Limited Sensor Data, (submitted to the 2007 American Control Conference), September 2006

View PDF (06-50) Kevin K. Leung, Chung H. Hsieh, Yuan R. Huang, Abhijeet Joshi, Vlad Voroninski, and Andrea L. Bertozzi. A Second Generation Micro-Vehicle Testbed for Cooperative Control and Sensing Strategies, (submitted to the 2007 American Control Conference), September 2006

View PDF (06-49) Selim Esedoglu and John Greer, Upper Bounds on the Coarsening Rate of Discrete, Ill-Posed Nonlinear Diffusion Equations, September 2006

View PDF (06-48) Nicolay M. Tanushev, Jianliang Qian and James V. Ralston, Mountain Waves and Gaussian Beams, September 2006

View PDF (06-47) Guy Gilboa and Stanley Osher, Nonlocal Linear Image Regularization and Supervised Segmentation, September 2006

View PDF (06-46) Linh Lieu, Contribution to Problems in Image Restoration, Decomposition, and Segmentation by Variational Methods and Partial Differential Equations, (Ph.D. Thesis), June 2006

View PDF (06-45) A. Rätz and A. Voigt, A Diffuse Interface Approximation for Surface Diffusion Including Adatoms, August 2006

View PDF (06-44) Lin He, Chiu-Yen Kao and Stanley Osher, Incorporating Topological Derivatives into Shape Derivatives Based Level Set Methods, August 2006

View PDF (06-43) Andrea L. Bertozzi and Thomas Laurent, Finite-time Blow-up of Solutions of an Aggregation Equation in Rⁿ , August 2006

View PDF (06-42) Benjamin Berkels, Martin Burger, Marc Droske, Oliver Nemitz, and Martin Rumpf, Cartoon Extraction Based on Anisotropic Image Classification, July 2006

View PDF (06-41) Wotao Yin, Donald Goldfarb and Stanley Osher, A Comparison of Three Total Variation Based Texture Extraction Models, July 2006

View PDF (06-40) Bo Su and Martin Burger, Weak Solutions of a Polymer Crystal Growth Model, July 2006

View PDF (06-39) Frank Hausser, Michel E. Jabbour and Axel Voigt, A Step-Flow Model for the Hetero-Epitaxial Growth of Strained, Substitutional, Binary Alloy Films With Phase Segregation: I Theory, July 2006

View PDF (06-38) Thomas Laurent, Local and Global Existence for an Aggregation Equation, July 2006

View PDF (06-37) Jianliang Qian, Yong-Tao Zhang and Hong-Kai Zhao, A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations, June 2006

View PDF (06-36) Antonio Marquina, Inverse Scale Space Methods for Blind Deconvolution, June 2006

View PDF (06-35) Lin He, Ti-Chiun Chang, Stanley Osher, Tong Fang and Peter Speier, MR Image Reconstruction by Using the Iterative Refinement Method and Nonlinear Inverse Scale Space Methods, June 2006

View PDF (06-34) Lin He, Applications and Generalizations of the Iterative Refinement Method (Ph.D. thesis), June 2006

View PDF (06-33) Jinjun Xu, Iterative Regularization and Nonlinear Inverse Scale Space Methods in Image Restoration (Ph.D. thesis), June 2006

View PDF (06-32) Barry Merriman And Steven J. Ruuth, Diffusion Generated Motion of Curves on Surfaces, June 2006

View PDF (06-31) Yoon Mo Jung, Sung Ha Kang, and Jianhong Shen, Multiphase Image Segmentation via Modica-Mortola Phase Transition, June 2006

View PDF (06-30) Y.L. Chuang, M. R. D’Orsogna, D. Marthaler, A. L. Bertozzi, and L. Chayes, State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System, June 2006

View PDF (06-29) Kenton Sze, Multilevel Optimization for VLSI Circuit Placement, (Ph.D. Thesis), June 2006

View PDF (06-28) Tony F. Chan and Ke Chen, An Optimization-based Multilevel Algorithm for Total Variation Image Denoising, May 2006.

View PDF (06-27) Kensuke Yokoi, Numerical Method for Interaction Among Multi-Particle, Fluid and Arbitrary Shape Structure, May 2006

View PDF (06-26) A. Haddad and S. Osher, Texture Separation BV – G and BV – L¹ Models May 2006

View PDF (06-25) A. L. Bertozzi, S. Esedoglu, and A. Gillette, Analysis of a Two-Scale Cahn-Hilliard Model for Image Inpainting, May 2006

View PDF (06-24) M. Burger, K. Frick, S. Osher and O. Scherzer, Inverse Total Variation Flow, May 2006

View PDF (06-23) Selim Esedoglu, Steven J. Ruuth and Richard Tsai, Threshold Dynamics for High Order Geometric Motions, May 2006

View PDF (06-22) Chohong Min and Frederic Gibou, A Second Order Accurate Level Set Method on Non-Graded Adaptive Cartesian Grids, May 2006

View PDF (06-21) Martin Burger and Marco Di Francesco, Large Time Behavior of Nonlocal Aggregation Models with Nonlinear Diffusion, May 2006

View PDF (06-20) Kensuke Yokoi, A Variational Approach to Motion of Triple Junction of Gas, Liquid and Solid, April 2006

View PDF (06-19) Oddvar Christiansen and Xue-Cheng Tai, Fast Implementation of Piecewise Constant Level Set Methods, April 2006

View PDF (06-18) Xue-Cheng Tai and Chang-Hui Yao, Image Segmentation by Piecewise Constant Mumford-Shah Model without Estimating the Constants, April 2006

View PDF (06-17) Hongwei Li and Xue-Cheng Tai, Piecewise Constant Level Set Methods for Multiphase Motion, April 2006

View PDF (06-16) Yanina Landa, Richard Tsai and Li-Tien Cheng, Visibility of Point Clouds and Mapping of Unknown Environments, April 2006

View PDF (06-15) Li-Tien Cheng, Efficient Level Set Methods for Constructing Wavefronts in Three Spatial Dimensions, April 2006

View PDF (06-14) Han Chen, Chohong Min and Frederic Gibou, A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Grids, April 2006

View PDF (06-13) Hongkai Zhao, Parallel Implementations of the Fast Sweeping Method, April 2006

View PDF (06-12) Yonggang Shi, Paul Thompson, Ivo Dinov, Stanley Osher and Arthur W. Toga, Direct Cortical Mapping, March 2006

View PDF (06-11) Jinjun Xu and Stanley Osher, Iterative Regularization and Nonlinear Inverse Scale Space Applied to Wavelet Based Denoising, March 2006

View PDF (06-10) Y.-L. Chuang, Y. R. Huang, M. R. D’Orsogna, and A. L. Bertozzi, Multi-Vehicle Flocking: Scalability of Cooperative Control Algorithms Using Pairwise Potentials, March 2006

View PDF (06-09) Jianhong (Jackie) Shen, Least-Square Halftoning via Human Vision System and Markov Gradient Descent (LS-MGD): Algorithm and Analysis, March 2006

View PDF (06-08) Tony F. Chan, Michael K. Ng, Andy C. Yau and Andy M. Yip, Superresolution Image Reconstruction Using Fast Inpainting Algorithms, February 2006 (revised Sept. 2006)

View PDF (06-07) A.L. Bertozzi, S. Esedoglu, and A. Gillette, Inpainting of Binary Images Using the Cahn-Hilliard Equation, February 2006

View PDF (06-06) Shingyu Leung and Jianliang Qian, An Adjoint State Method for Three-Dimensional Transmission Traveltime Tomography using First-Arrivals, February 2006

View PDF (06-05) Hongwei Li and Xue-Cheng Tai, Piecewise Constant Level Set Method for Interface Problems, February 2006

View PDF (06-04) Chiu-Yen Kao and Richard Tsai, A Level Set Formulation for Visibility and Its Discretization, January 2006 (Revised March 2006)

View PDF (06-03) Frederic Gibou, Liguo Chen, Duc Nguyen and Sanjoy Banerjee, A Level Set Based Sharp Interface Method for the Multiphase Incompressible Navier-Stokes Equations with Phase Change, January 2006

View PDF (06-02) M. Burger, F. Hausser, C. Stoecker and A. Voigt, A Level Set Approach to Anisotropic Flows with Curvature Regularization, January 2006

View PDF (06-01) Xue-Cheng Tai, Stanley Osher and Randi Holm, Image Inpainting Using a TV-Stokes Equation, January 2006

2005

View PDF (05-68) Tony F. Chan and Ke Chen, On a Nonlinear Multigrid Algorithm with Primal Relaxation for the Image Total Variation Minimisation, December 2005

View PDF (05-67) Johan Lie and Jan M. Nordbotten, Inverse Scale Spaces for Nonlinear Regularization, December 2005

View PDF (05-66) Martin Burger, Guy Gilboa, Stanley Osher and Jinjun Xu, Nonlinear Inverse Scale Space Methods, November 2005

View PDF (05-65) Chohong Min and Frederic Gibou, A Second Order Accurate Projection Method for the Incompressible Navier-Stokes Equations on Fully Adaptive Grids, November 2005

View PDF (05-64) Marc Droske and Martin Rumpf, Multi Scale Joint Segmentation and Registration of Image Morphology, November 2005

View PDF (05-63) Marc Droske and Wolfgang Ring, A Mumford-Shah Level-Set Approach for Geometric Image Registration, November 2005

View PDF (05-62) Andreas Ratz and Axel Voigt, PDE’s on Surfaces — A Diffuse Interface Approach, November 2005

View PDF (05-61) Frank Hausser and Axel Voigt, A Discrete Scheme for Parametric Anisotropic Surface Diffusion, November 2005

View PDF (05-60) D. Krishnan, P. Lin and X.C. Tai, An Efficient Operator-Splitting Method for Noise Removal in Images, November 2005

View PDF (05-59) Xue-Cheng Tai and Hongwei Li, A Piecewise Constant Level Set Method for Elliptic Inverse Problems, November 2005

View PDF (05-58) Mohammad Motamed and Olof Runborg, A Fast Phase Space Method for Computing Creeping Rays, October 2005

View PDF (05-57) John B. Garnett, Triet M. Le, Yves Meyer and Luminita A. Vese, Image Decompositions Using Bounded Variation and Homogeneous Besov Spaces, October 2005

View PDF (05-56) Wei Zhu, Variational Models for Illusory Contours and Shape Prior Segmentation, October 2005 (Ph.D. Thesis and defensed on May 2004)

View PDF (05-55) Chung H. Hsieh, Yao-Li Chuang, Yuan Huang, Kevin K. Leung, Andrea L. Bertozzi, and Emilio Frazzoli, An economincal Micro-Car Testbed for Validation of Cooperative Control Strategies, September 2005

View PDF (05-54) Jianhong (Jackie) Shen, A Stochastic-Variational Model for Soft Mumford-Shah Segmentation, September 2005

View PDF (05-53) M.R. D’Orsogna, Y.L. Chuang, A.L. Bertozzi and L.S. Chayes, Self-propelled Particles wit hSoft-core Interactions: Patterns, Stability and Collapse, September 2005 (Revised: Feb. 2006)

View PDF (05-52) Xue-Cheng Tai and Changhui Yao, Fast Piecewise Constant Level Set Methods (PCLSM) with Newton Updating, September 2005

View PDF (05-51) Lars Kristian Nielsen, Xue-Cheng Tai, Sigurd Ivar Aanonsen and Magne Espedal, A Binary Level Set Model for Elliptic Inverse Problems with Discontinuous Coefficients, September 2005

View PDF (05-50) Lars Kristian Nielsen, Xue-Cheng Tai, Sigurd Ivar Aanonsen and Magne Espedal, Reservoir Description using a Binary Level Set Model, September 2005

View PDF (05-49) Triet M. Le, Thomas J. Asaki and Rick Chartrand, A Variational Approach to Reconstructing Images Corrupted by Poisson Noise September 2005

View PDF (05-48) Guy Gilboa, Nir Sochen and Yehoshua Y. Zeevi, Estimation of Optimal PDE-based Denoising in the SNR Sense, August 2005

View PDF (05-47) Wotao Yin, Donald Goldfarb and Stanley Osher, Image Cartoon-Texture Decomposition and Feature Selection Using the Total Variation Regularized L¹ Functional August 2005

View PDF (05-46) Martin Burger, Finite Element Approximation of Elliptic Partial Differential Equations on Implicit Surfaces, August 2005

View PDF (05-45) H.-W. Lu, K. Glasner, A. L. Bertozzi, and C.-J. Kim, A Diffuse Interface Model for Electrowetting Droplets in a Hele-Shaw Cell, July 2005

View PDF , View RPT (05-44) Edward Welsh, Bjorn Birnir, and Andrea L. Bertozzi, Shocks in the Evolution of an Eroding Channel, July 2005

View PDF , View RPT (05-43) Jianhong (Jackie) Shen, Piecewise H-1 + H⁰ + H¹ Images and the Mumford-Shah-Sobolev Model for Segmented Image Decomposition}, July 2005

View PDF (05-42) Stefan Kindermann and Stanley Osher Saddle Point Formulation for a Cartoon-Texture Decomposition, June 2005

View PDF (05-41) John B. Greer, An Improvement of a Recent Eulerian Method for Solving PDEs on General Geometries, June 2005

View PDF (05-40) Martin Burger and Michael Hintermüller, Projected Gradient Flows for BV / Level Set Relaxation, June 2005

View PDF (05-38) Lin He, Martin Burger and Stanley Osher, Iterative Total Variation Regularization with Non-Quadratic Fidelity, June 2005

View PDF (05-37) Hailiang Liu and Jue Yan, A Local Discontinuous Galerkin Method for the Korteweg-De Vries Equation with Boundary Effect, June 2005

View PDF (05-36) Mathieu Kemp, Andrea L. Bertozzi, and Daniel Marthaler, Multi-UUV Perimeter Surveillance, May 2005

View PDF (05-35) S. Osher, O. Scherzer and Wotao Yin, Slope and G-Value Characterization of Set-Valued Functions and Applications to Non-Differentiable Optimization Problems, May 2005

View PDF (05-34) Martin Burger, Stanley Osher, Jinjun Xu and Guy Gilboa, Nonlinear Inverse Scale Space Methods for Image Restoration, May 2005

View PDF (05-33) Linh Lieu and Luminita Vese, Image Restoration and Decompostion via Bounded Total Variation and Negative Hilbert-Sobolev Spaces, May 2005

View PDF (05-32) Shingyu Leung and Stanley Osher, Global Minimization of the Active Contour Model with TV-Inpainting and Two-phase Denoising, May 2005

View PDF (05-31) T.C. Cecil, Stanley Osher and J.-L. Qian, Simplex Free Adaptive Tree Fast Sweeping and Evolution Methods for Solving Level Set Equations in Arbitrary Dimension, May 2005

View PDF (05-30) Kensuke Yokoi, Numerical Method for Interaction Between Multi-Particle and Complex Structures, May 2005

View PDF (05-29) Chohong Min, Frederic Gibou and Hector Ceniceros, A Supra-Convergent Finite Difference Scheme for the Variable Coefficient Poisson Equation on Fully Adaptive Grids, May 2005 (revised Nov. 2005)

View PDF (05-28) Tony F. Chan, Selim Esedoglu, and Frederick E. Park, A Fourth Order Dual Method for Staircase Reduction in Texture Extraction and Image Restoration Problems April 2005

View PDF (05-27) Wotao Yin, Donald Goldfarb and Stanley Osher, The Total Variation Regularized L¹ Model for Multiscale Decomposition, April 2005 (New Version, June 2006)

View PDF (05-26) Ke Chen and Xue-Cheng Tai, A Nonlinear Multigrid Method for Curvature Equations Related to Total Variation Minimization, April 2005

View PDF (05-25) Marius Lysaker and Xue-Cheng Tai, Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional, April 2005

View PDF (05-24) Xue-Cheng Tai, Oddvar Christiansen, Ping Lin and Inge Skjaelaaen, A Remark on the MBO Scheme and Some Piecewise Constant Level Set Methods, April 2005

View PDF (05-23) T. Chan, J. Cong, and K. Sze, Multilevel Generalized Force-directed Method for Circuit Placement, Proceedings of the International Symposium on Physical Design, San Francisco, CA, April, 2005

View PDF (05-22) Selim Esedoglu, Steven Ruuth and Richard Tsai, Threshold Dynamics for Shape Reconstruction and Disocclusion, April 2005

View PDF (05-21) Stefan Kindermann, Stanley Osher and Jinjun Xu, Denoising by BV-Duality, April 2005

View PDF (05-20) C.M. Topaz, A.L. Bertozzi, and M.A. Lewis, A Nonlocal Continuum Model for Biological Aggregation, April 2005

View PDF (05-19) Martin Burger, Vincenzo Capasso and Livio Pizzocchero, Mesoscale Averaging of Nucleation and Growth Models, March 2005

View PDF (05-18) Tony F. Chan, Selim Esedoglu and Frederick E. Park, Image Decomposition Combining Staircase Reduction and Texture Extraction, March 2005

View PDF (05-17) John B. Greer, Andrea L. Bertozzi and Guillermo Sapiro, Fourth Order Partial Differential Equations on General Geometries, March 2005

View PDF , View RPT (05-16) Jianhong (Jackie) Shen, Γ-Convergence Approximation to Piecewise Constant Mumford-Shah Segmentation, March 2005

View PDF (05-15) Kirsten Morris and Carmeliza Navasca, Iterative Solution of Algebraic Riccati Equations Using a Modified Newton-Kleinman Method MTNS 2004, March 2005

View PDF (05-14) Stefan Kindermann and Carmeliza Navasca, Optimal control methods for ill-posed problems, March 2005

View PDF (05-13) Triet Le, Linh Lieu and Luminita Vese, BV and dual of BV image decomposition models and minimization algorithms, March 2005

View PDF (05-12) Emmanuel Candes, Justin Romberg and Terence Tao, Stable Signal Recovery from Incomplete and Inaccurate Measurements, March 2005

View PDF (05-11) Sung Ha Kang and Jianhong (Jackie) Shen, On the Slicing Moments of BV Functions and Applications to Image Dejittering, March 2005

View PDF (05-10) Jean-Francois Aujol, Guy Gilboa, Tony Chan, and Stanley Osher, Structure-Texture Image Decomposition – Modeling, Algorithms, and Parameter Selection, February 2005

View PDF (05-09) Emmanuel Candes and Justin Romberg, Practical Signal Recovery from Random Projections, February 2005

View PDF (05-08) Emmanuel Candes and Terence Tao, Decoding by Linear Programming, February 2005

View PDF (05-07) Jianliang Qian, Yong-Tao Zhang, and HongKai Zhao, Fast sweeping methods for eikonal equations on triangulated domains, February 2005

View PDF , View RPT (05-06) Jianhong Shen, Progressive Halftoning by Perona-Malik Error Diffusion and Stochastic Flipping, February 2005

View PDF (05-05) Chiu Yen Kao, Stanley Osher and Eli Yablonovitch, Maximizing Band Gaps in Two-Dimensional Photonic Crystals by Using Level Set Methods, January 2005

View PDF (05-04) X. Bresson, S. Esedoglu, P. Vandergheynst, J.P. Thiran and S. Osher, Global Minimizers of the Active Contour/Snake Model, January 2005

View PDF (05-03) Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable and Lawrence H. Staib, White Matter Tractography by Anisotropic Wavefront Evolution and Diffusion Tensor Imaging, January 2005

View PDF (05-02) David M. Strong, Jean-Francois Aujol and Tony Chan, Scale Recognition, Regularization Parameter Selection, and Meyer’s G Norm in Total Variation Regularization, January 2005

View PDF (05-01) T. Chan, S. Esedoglu, F. Park and A. Yip, Recent Developments in Total Variation Image Restoration, January 2005

2004

View PDF (04-75) Stefan Kindermann, Stanley Osher and Peter W. Jones, Deblurring and Denoising of Images by Nonlocal Functionals, December 2004 (Revised April 2005)

View PDF (04-74) Thomas Cecil and Daniel E. Marthaler, A Variational Approach to Path Planning in Three Dimensions Using Level Set Methods, December 2004

View PDF (04-73) Jean-Francois Aujol and Sung Ha Kang, Color Image Decomposition and Restoration, December 2004

View PDF (04-72) Tony F. Chan and Sung Ha Kang, Error Analysis for Image Inpainting, December 2004 (revised Nov. 2005)

View PDF (04-71) Emmanuel Candes and Terence Tao, Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?, December 2004

View PDF (04-70) Emmanuel Candes, Justin Romberg and Terence Tao, Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information, December 2004

View PDF (04-69) Emmanuel J. Candes and Justin Romberg, Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions, December 2004

View PDF (04-68) Yen-Hsi Richard Tsai and Stanley Osher, Total Variation and Level Set Based Methods in Image Science, November 2004

View PDF (04-67) Frank Losasso, Ronald Fedkiw and Stanley Osher, Spatially Adaptive Techniques for Level Set Methods and Incompressible Flow, November 2004

View PDF (04-66) Jean-Francois Aujol and Guy Gilboa, Implementation and Parameter Selection for BV-Hilbert Space Regularizations, November 2004

View PDF (04-65) Jean-Francois Aujol and Tony F. Chan, Combining Geometrical and Textured Information to Perform Image Classification, November 2004

View PDF (04-64) Martin Burger, Surface Diffusion Including Free Adatoms, October 2004

View PDF (04-63) Selim Esedoglu and Yen-Hsi Richard Tsai, Threshold Dynamics for the Piecewise Constant Mumford-Shah Functional, October 2004

View PDF (04-62) Susana Serna and Jianliang Qian, Fifth Order Weighted Power-ENO Methods for Hamilton-Jacobi Equations, October 2004

View PDF (04-61) , Thomas Cecil and Daniel Marthaler, A Variational Approach to Search and Path Planning Using Levelset Methods, September 2004

View PDF (04-60) Sung Ha Kang and Jianhong Shen, Video Dejittering by Bake and Shake, September 2004

View PDF (04-59) Bernardo Cockburn, Jianliang Qian, Fernando Reitich and Jing Wang, An Accurate Spectral/Discontinuous Finite-Element Formulation of a Phase-Space-Based Level Set Approach to Geometrical Optics, September 2004

View PDF (04-58) Andy M. Yip, Edmond H. Wu, Michael K. Ng and Tony F. Chan, Finding Dense Regions in Gene Expression Data, September 2004 (revised Sept. 2006)

View PDF (04-57) Bao Q. Nguyen, Yao-Li Chuang, David Tung, Chung H. Hsieh, Zhipu Jin, Ling Shi, Daniel Marthaler, Aandrea L. Bertozzi, and Richard M. Murray, Virtual attractive-repulsive potentials for cooperative control of second order dynamic vehicles on the Caltech MVWT, September 2004

View PDF (04-56) Chung H. Hsieh, Zhipu Jin, Daniel Marthaler, Bao Q. Nguyen, David J. Tung, Andrea L. Bertozzi, and Richard M. Murray, Experimental Validation of an Algorithm for Cooperative Boundary Tracking, September 2004

View PDF (04-55) David J Tung, Bao Q. Nguyen, Yao-Li Chuang, Chung H. Hsieh, Zhipu Jin, Ling Shi, Daniel Marthaler, Andrea L. Bertozzi, and Richard M. Murray, Experimental Implementation of an Algorithm for Cooperative Searching of Target Sites, September 2004

View PDF (04-54) Tony F. Chan, Selim Esedoglu and Mila Nikolova, Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models, September 2004

View PDF (04-53) Hailin Jin, Stefano Soatto and Anthony J. Yezzi, Multi-view Stereo Reconstruction of Dense Shape and Complex Appearance, September 2004

View PDF (04-52) Ali Haddad and Yves Meyer, Variational Methods in Image Processing, September 2004

View PDF (04-51) He Lin, Antonio Marquina and Stanley J. Osher, Blind Deconvolution Using TV Regularization and Bregman Iteration, September 2004

View PDF (04-50) Daniel Marthaler, Andrea L. Bertozzi and Ira B. Schwartz, Levy Searches Based on a priori Information: The Biased Levy Walk, September 2004

View PDF (04-49) Wei Zhu, Tony Chan and Selim Esedoglu, Segmentation with Depth: A Level Set Approach, August 2004

View PDF (04-48) Junjie Zhou, B. Dupuy, A.L. Bertozzi and A.E. Hosoi, Shock Dynamics in Particle-Laden Thin Films, July 2004

View PDF (04-47) Tony F. Chan, Jianhong Shen and Hao-Min Zhou, Total Variation Wavelet Inpainting, July 2004

View PDF (04-46) S. Leung, J. Qian and S. Osher, A Level Set Method for Three-dimensional Paraxial Geometrical Optics with Multiple Sources, July 2004

View PDF (04-45) Tony F. Chan, Andy M. Yip, and Frederick E. Park, Simultaneous Total Variation Image Inpainting and Blind Deconvolution, July 2004

View PDF (04-44) Daniel Cremers, Stanley J. Osher and Stefano Soatto, Kernel Density Estimation and Intrinsic Alignment for Knowledge-driven Segmentation: Teaching Level Sets to Walk, July 2004

(04-43) Tony F. Chan, Jason Cong, Joseph R. Shinnerl, Kenton Sze, Min Xie and Yan Zhang, Multiscale Optimization in VLSI Physical Design Automation, June 2004

View PDF (04-42) Tony F. Chan, Jason Cong, Tim (Tianming) Kong and Joseph R. Shinnerl, Multilevel Circuit Placement June 2004

View PDF (04-41) Tony F. Chan, Jason Cong, Tianming Kong, and Joseph R. Shinnerl, Multilevel Optimization for Large-Scale Circuit Placement, June 2004

View PDF (04-40) Tony F. Chan, Jason Cong, Tim Kong, Joseph R. Shinnerl, and Kenton Sze, An Enhanced Multilevel Algorithm for Circuit Placement, June 2004

View PDF (04-39) Thomas Cecil, A Numerical Method for Computing Minimal Surfaces in Arbitrary Dimension, June 2004

View PDF (04-38) Chad M. Topaz, Jeff Porter and Mary Silbert, Multi-Frequency Control of Faraday Wave Patterns, June 2004

View PDF (04-37) Yong-Tao Zhang, Hong-Kai Zhao and Jianliang Qian, High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations, June 2004

View PDF (04-36) Triet M. Le and Luminita Vese, Image decomposition using total variation and div(BMO), June 2004

View PDF (04-35) Andreas Obereder, Stanley Osher and Otmar Scherzer, On the Use of Dual Norms in Bounded Variation Type Regularization, June 2004

View PDF (04-34) Christopher R. Anderson and Thomas C. Cecil, A Fourier-Wachspress Method for Solving Helmholtz’s Equation in Three Dimensional Layered Domains, June 2004

View PDF (04-33) Richard Sharp, Yen-Hsi Tsai and Bjorn Engquist, Multiple Time Scale Numerical Mtehods for the Inverted Pendulum Problem, May 2004

View PDF (04-32) Xue-Cheng Tai, Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids, May 2004

View PDF (04-31) Johan Lie, Marius Lysaker and Xue-Cheng Tai, A Binary Level Set Model and Some Applications to Mumford-Shah Image Segmentation, May 2004

View PDF (04-30) Marius Lysaker, Tony Chan and Xue-Cheng Tai, Level Set Method for Positron Emission, May 2004

View PDF (04-29) Edmond H. Wu, Michael K. Ng, Andy M. Yip and Tony F. Chan, A Clustering Model for Mining Evolving Web User Patterns in Data Stream Environment, April 2004

View PDF (04-28) Andy M. Yip, Edmond H. Wu, Michael K. Ng and Tony F. Chan, Unsupervised Dense Regions Discovery in DNA Microarray Data, April 2004

View PDF (04-27) Edmond H. Wu, Michael K. Ng, Andy M. Yip and Tony F. Chan, Discretization of Multidimensional Web Data for Informative Dense Regions Discovery, April 2004

View PDF (04-26) Christopher R. Anderson and Christopher Elion, Accelerated Soutions of Nonlinear Equations Using Stabilized Runge-Kutta Methods, April 2004

View PDF (04-25) Kirsten Morris and Carmeliza Navasca, Solution of Algebraic Riccati Equations Arising in Control of Partial Differential Equations, April 2004

View PDF (04-24) Chiu Yen Kao, Carmeliza Navasca and Stanley Osher, The Lax-Friedrichs Sweeping Method for Optimal Control Problems in Continuous and Hybrid Dynamics, April 2004

View PDF (04-23) Stanley Osher and Otmar Scherzer, G-Norm Properties of Bounded Variation Regularization, April 2004

View PDF , View RPT (04-22) Jianhong Shen, On the Foundations of Vision Modeling V. Noncommutative Monoids of Occlusive Preimages, April 2004

View PDF , View RPT (04-21) Andrea L. Bertozzi, Mathieu Kemp and Dan Marthaler, Determining Environmental Boundaries: Asynchronous Communication and Physical Scales, March 2004

View PDF , View RPT (04-20) Andrea Bertozzi, John Greer, Stanley Osher and Kevin Vixie, Nonlinear Regularizations of TV Based PDEs for Image Processing, March 2004

View PDF , View RPT (04-19) Mark Bowen, Jeanman Sur, Andrea L. Bertozzi and Robert P. Behringer, Nonlinear Dynamics of Two-Dimensional Undercompressive Shocks, March 2004

View PDF (04-18) Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau, Volumetric Harmonic Brain Mapping, March 2004

View PDF (04-17) Xianfeng Gu, Yalin Wang, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau, Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping, March 2004

View PDF , View RPT (04-16) Bjorn Engquist, Anna-Karin Tornberg and Richard Tsai, Discretization of Dirac Delta Functions in Level Set Methods, March 2004

(04-15) Tony F. Chan and Frederick Park, Data Dependent Multiscale Total Variation Based Image Decomposition and Contrast Preserving Denoising, March 2004

View PDF (04-14) Alex D. Leow, Andrew Y. Wang, Hillary D. Protas and Paul M. Thompson, Brain Warping Via Landmark Points and Curves with a Level Set Representation, March 2004

View PDF (04-13) Stanley Osher, Martin Burger, Donald Goldfarb, Jinjun Xu and Wotao Yin, An Iterative Regularization Method for Total Variation Based Image Restoration, March 2004

View PDF (04-12) Martin Burger, Lecture Notes On Numerical Methods for Incompressible Flow, March 2004

View PDF (04-11) Martin Burger, Lecture Notes on Infinite-dimensional Optimization and Optimal Design, March 2004

View PDF (04-10) Martin Burger and Stanley Osher, Convergence Rates of Convex Variational Regularization, March 2004

View PDF (04-09) Thomas Cecil and Stanley Osher, Regularized Wulff Flows, Nonconvex Energies and Backwards Parabolic Equations, March 2004

View PDF (04-08) Marcel Jackowski, Chiu Yen Kao and Lawrence Staib, Estimation of Anatomical Connectivity by Anisotropic Front Propagation and Diffusion Tensor Imaging, March 2004

View PDF (04-07) Tony F. Chan and Selim Esedoglu, Aspects of Total Variation Regularized L¹ Function Approximation, February 2004

View PDF (04-06) Martin Burger, Numerical Simulation of Anisotropic Surface Diffusion with Curvature-Dependent Energy, February 2004

View PDF (04-05) Yao-li Chuang, Ram Oren, Andrea L. Bertozzi, Nathan Phillips and Gabriel G. Katul, The Porous Media Model for the Hydraulic System of a Tree: From Sap Flux Data to Transpiration Rate, February 2004 (revised 5-2005)

View PDF (04-04) Susana Serna and Antonio Marquina, Capturing Shock Waves in Inelastic Granular Gases, February 2004

View PDF (04-03) Li-Tien Cheng and Richard Tsai, Visibility Optimization using Variational Approaches, February 2004 (revised October 2004)

View PDF (04-02) Martin Burger and Stanley J. Osher, A Survey on Level Set Methods for Inverse Problems and Optimal Design, January 2004

View PDF , View RPT (04-01) Dominique Apprato, Dominique Ducassou, Christian Gout, Eric Laffon and Carole Le Guyader, Segmentation of Medical Images Sequence for Non Invasive Assessment of Pulmonary Arterial Hypertension, January 2004

2003

View PDF (03-77) Tony F. Chan and Selim Esedoglu, A Multiscale Algorithm for Mumford-Shah Image Segmentation, December 2003

View PDF (03-76) Andy M. Yip, Edmond H. Wu, Michael K. Ng and Tony F. Chan, An Efficient Algorithm for Dense Regions Discovery from Large-Scale Data Streams, December 2003

View PDF (03-75) Chiu Yen Kao, Stanley Osher and Yen-Hsi Tsai, Fast Sweeping Methods for Static Hamilton-Jacobi Equations, December 2003

View PDF (03-74) Jianhong Shen and Yoon-Mo Jung, On the Foundations of Vision Modeling Iv. Weberized Mumford-Shah Model with Bose-Einstein Noise: Light Adapted Segmentation Inspired by Vision Psychology, Retinal Physiology, and Quantum Statistics, December 2003

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(03-72)

View PDF (03-71) R. Burridge and J. Qian, The Fundamental Solution of the Time-Dependent System of Crystal Optics, December 2003

View PDF (03-70) Selim Esedoglu, Blind Deconvolution of Bar Code Signals, November 2003

View PDF (03-69) K. Majava and X.-C. Tai, A Level Set Method for Solving Free Boundary Problems Associated with Obstacles, November 2003

View PDF (03-68) Xue-Cheng Tai and Tony F. Chan, Multiple Level Set Methods and Some Applications for Identifying Piecewise Constant Functions, November 2003

View PDF (03-67) Chohong Min, Local Level Set Method in High Dimension and Codimension, November 2003

View PDF (03-66) Tony Chan and Wei Zhu, Level Set Based Shape Prior Segmentation, November 2003

View PDF (03-65) Wei Zhu and Tony Chan, Capture Illusory Contours: A Level Set Based Approach, November 2003

View RPT (03-64) Eric T. Chung, Tony F. Chan and Xue-Cheng Tai, Electrical Impedance Tomography Using Level Set Representation and Total Variational Regularization, November 2003

View PDF (03-63) Paolo Favaro, Martin Burger and Stefano Soatto, Scene Motion Reconstruction from Defocused and Motion-Blurred Images via Anisotropic Diffusion, November 2003

View RPT (03-62) Anna-Karin Tornberg and Bjorn Engquist, Numerical Approximations of Singular Source Terms in Differential Equations, November 2003

View PDF (03-61) P. Favaro, S. Osher, S. Soatto and L. Vese, 3D Shape from Anisotropic Diffusion, November 2003

View PDF (03-60) Jianliang Qian and Shingyu Leung, A Local Level Set Method for Paraxial Geometrical Optics, November 2003

View PDF (03-59) Andy M. Yip and Frederick Park, Solution Dynamics, Causality, and Critical Behavior of the Regularization Parameter in Total Variation Denoising Problems, October 2003

View PDF (03-58) Douglas Enright, Frank Losasso and Ronald Fedkiw, A Fast and Accurate Semi-Lagrangian Particle Level Set Method, October 2003

View PDF (03-57) Thomas Cecil, Stanley Osher and Luminita Vese, Numerical Methods for Minimization Problems Constrained to S¹ and S² , October 2003

View PDF (03-56) Martin Burger and Wolfram Muhlhuber, SQP Methods for Parameter Identification, October 2003

View PDF (03-55) Hend Ben Ameur, Martin Burger and Benjamin Hackl, On Some Geometric Inverse Problems in Linear Elasticity, October 2003

View PDF (03-54) Eric T. Chung and Bjorn Engquist, Convergence Analysis of Fully Discrete Finite Volume Methods for Maxwell’s Equations in Non-Homogeneous Media, October 2003

View PDF (03-53) Jason T. Chung and Luminita A. Vese, Image Segmentation Using a Multilayer Level-Set Approach, September 2003

(03-52) Triet Le and Luminita A. Vese, Additive and Multiplicative Piecewise-Smooth Setmentation Models in a Variational Level Set Approach, September 2003

View PDF (03-51) Tom Cecil, Jianliang Qian and Stanley Osher, Numerical Methods for High Dimensional Hamilton-Jacobi Equations Using Radial Basis Functions, September 2003

View PDF (03-50) Johan Lie, Marius Lysaker and Xue-Cheng Tai, A Variant of the Level Set Method and Applications to Image Segmentation, September 2003

View RPT (03-49) Doron Levy, Chi-Wang Shu and Jue Yan, Local Discontinuous Galerkin Methods for Nonlinear Dispersive Equations, September 2003

View PDF (03-48) Andy M. Yip, Chris Ding and Tony F. Chan, Dynamic Cluster Formation Using Level Set Methods, September 2003

View PDF (03-47) Thomas C. Cecil, Numerical Methods for Partial Differential Equations Involving Discontinuities, September 2003

View PDF (03-46) Martin Burger, Benjamin Hackl and Wolfgang Ring, Incorporating Topological Derivatives into Level Set Methods, September 2003

View PDF (03-45) Martin Burger, Levenberg-Marquardt Level Set Methods for Inverse Obstacle Problems, September 2003

View PDF (03-44) Christian Gout, Carole Le Guyader and Luminita Vese, Segmentation Under Geometrical Conditions Using Geodesic Active Contours and Interpolation Using Level Set Methods, September 2003

View PDF (03-43) I.A. Fedorov, K.W. Kim, R.E. Caflisch and E. Yablonovitch, A Scalable Quantum Gate Design for Quantum Computation, August 2003

View PDF (03-42) Michael Siegel, Russel E. Caflisch and Sam Howison, Global Existence, Singular Soutions and Ill-Posedness for the Muskat Problem, August 2003

View PDF (03-41) Russel E. Caflisch and David G. Meyer, A Reduced Order Model for Epitaxial Growth, August 2003

View PDF (03-40) Laurent Demanet, Bing Song and Tony Chan, Image Inpainting by Correspondence Maps: a Deterministic Approach, August 2003

View PDF (03-39) Jianliang Qian, Two Approximations for Effective Hamiltonians Arising from Homogenization of Hamilton-Jacobi Equations, August 2003

View PDF  (03-38) Chiu Yen Kao, Stanley Osher and Jianliang Qian, Lax-Friedrichs Sweeping Scheme for Static Hamilton-Jacobi Equations, August 2003

View RPT (03-37) Andy M. Yip, Tony F. Chan and Tarek P. Mathew, A Scale Dependent Model for Clustering by Optimization of Homogeneity and Separation, August 2003

View PDF (03-36) K.F. Ho, C.D. Beling, S. Fung, K.W. Cheng, Michael K. Ng and A.M. Yip, Deconvolution of Positron Annihilation Coincidence Doppler Broadening Spectra Using Iterative Projected Newton Method with Non-Negativity Constraints, August 2003

View PDF (03-35) Jeff Porter, Chad M. Topaz and Mary Silber, Pattern Control via Multi-Frequency Parametric Forcing, July 2003 (updated 6/2004)

View PDF (03-34) Stanley J. Osher and Selim Esedoglu, Decomposition of Images by the Anisotropic Rudin-Osher-Fatemi Model, July 2003

View PDF (03-33) E. Haber, A Multilevel, Level-Set Method for Optimizing Eigenvalues in Shape Design Problems, July 2003

View PDF (03-32) Eitan Tadmor, Suzanne nezzar and Luminita Vese, A Multiscale Image Representation Using Hierarchical (BV,L² ) Decompositions, July 2003

View PDF (03-31) Martin Burger, Stanley J. Osher and Eli Yablonovitch, Inverse Problem Techniques for the Design of Photonic Crystals, July 2003

View PDF (03-30) Martin Burger, Vincenzo Capasso and Daniela Morale, On an Aggregation Model with Long and Short Range Interactions, July 2003

View PDF (03-29) Doug Enright, Duc Nguyen, Frederic Gibou and Ron Fedkiw, Using the Particle Level Set Method and a Second Order Accurate Pressure Boundary Condition for Free Surface Flows, July 2003

View PDF (03-28) Jianliang Qian and Shingyu Leung, A Level Set Based Eulerian Method for Paraxial Multivalued Traveltimes, June 2003

View PDF (03-27) Bing Song, Topics in Variational PDE Image Segmentation, Inpainting and Denoising, (Ph.D. Thesis) June 2003

View PDF (03-26) Andrea L. Bertozzi and John B. Greer, Low Curvature Image Simplifiers: Global Regularity of Smooth Solutions and Laplacian Limiting Schemes, June 2003

View PDF (03-25) J.B. Greer and A.L. Bertozzi, Traveling Wave Solutions of Fourth Order PDEs for Image Processing, June 2003

View PDF (03-24) Chad M. Topaz and Andrea L. Bertozzi, Swarming Patterns in Two-Dimensional Kinematic Model for Biological Groups, June 2003 (updated 6/2004)

View PDF (03-23) Wei-Hsun Liao, Mathematical Techniques in Object Matching and Computational Anatomy: a New Framework Based on the Level Set Method, (Ph.D. thesis), June 2003

View PDF (03-22) Yen-Hsi Richard Tsai, Li-Tien Cheng, Stanley Osher, Paul Burchard and Guillermo Sapiro, Visibility and Its Dynamics in a PDE Based Implicit Framework, June 2003

View PDF (03-21) Bjorn Engquist and Richard Tsai, Heterogeneous Multiscale Methods for Stiff Ordinary Differential Equations, June 2003

View PDF (03-20) Suzanne Nezzar, A Multiscale Image Representation Using Hierarchical (BV, L² ) Decompositions, (Ph.D. thesis), May 2003

View PDF (03-19) Jianhong Shen and Yoon Mo Jung, On the Foundations of Vision Modelling III. Pattern-Theoretic Analysis of Hopf and Turing’s Reaction-Diffusion Patterns, May 2003

View PDF (03-18) Daniel Marthaler and Andrea L. Bertozzi, Tracking Environmental Level Sets wit Autonomous Vehicles, April 2003

View PDF (03-17) Daniel Marthaler and Andrea L. Bertozzi, Collective Motion Algorithms for Determining Environmental Boundaries, April 2003

View PDF (03-16) Yen-Hsi Tsai and Yoshikazu Giga, A Numerical Study of Anisotropic Crystal Growth with Bunching Under Very Singular Vertical Diffusion, April 2003

View PDF (03-15) Tony F. Chan and Xue-Cheng Tai, Level Set and Total Variation Regularization for Elliptic Inverse Problems With Discontinuous Coefficients, April 2003

View RPT (03-14) Mark Moelich and Tony Chan, Tracking Objects with the Chan-Vese Algorithm, March 2003

View PDF (03-13) Xianfeng Gu, Yalin Wang, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau, Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping, March 2003

View RPT (03-12) B.A. Wagner, A.L. Bertozzi and L.E. Howle, Positive Feedback Control of Rayleigh-Benard Convection, February 2003

View RPT (03-11) John B. Greer and Andrea L. Bertozzi, H¹ Solutions of a Class of Fourth Order Nonlinear Equations for Image Procesing, February 2003

View PDF (03-10) Jeanman Sur, Andrea L. Bertozzi and Robert P. Behringer, Reverse Undercompressive Shock Structures in Driven Thin Film Flow, February 2003

View PDF (03-09) Wei Zhu and Tony Chan, Illusory Contours Using Shape Information, February 2003

View PDF (03-08) Wei Zhu and Tony Chan, Stability for Shape Comparison Model, February 2003

View PDF (03-07) Chohong Min, Simplicial Isosurfacing in Arbitrary Dimension and Codimension, February 2003 (Revised April 2003)

View RPT (03-06) Mark Moelich and Tony Chan, Joint Segmentation and Registration Using Logic Models, February 2003

View PDF (03-05) Joris R. Rommelse, Hai-Xiang Lin and Tony F. Chan, A Robust Level Set Algorithm for Image Segmentation and its Parallel Implementation, February 2003

View PDF (03-04) Richard Tsai and Stanley Osher, Level Set Methods in Image Science, January 2003

View PDF (03-03) Marius Lysaker, Stanley Osher, Xue-Cheng Tai, Noise Removal Using Smoothed Normals and Surface Fitting, January 2003

View PDF (03-02) Wei-Hsun Liao, Luminita Vese, Henry Huang, Marvin Bergsneider and Stanley Osher, Computational Anatomy, Object Matching, and the Level Set Method, January 2003

(03-01) Yen-Hsi Richard Tsai and Stanley Osher

2002

View PDF (02-68) Bing Song and Tony Chan, A Fast Algorithm for Level Set Based Optimization, December 2002

View PDF (02-67) Susana Serna and Antonio Marquina, Power ENO Methods: A Fifth Order Accurate Weighted Power ENO Method, December 2002

View PDF (02-66) Chiu Yen Kao, Stanley Osher and Yen-Hsi Tsai, Fast Sweeping Methods for Hamilton-Jacobi Equations, December 2002

View PDF (02-65) Richard Tsai, Li-Tien Cheng and Heinz-Otto Kreiss, Supra-Convergence of Linear Equations on Irregular Cartesian Grids, December 2002

View PDF (02-64) J. Shen, Bayesian Video Dejittering by BV Image Model, December 2002

View PDF (02-63) T.F. Chan and J. Shen, Variational Image Inpainting, December 2002

View PDF (02-62) J. Shen, On the Foundations of Vision ModelingII. Mining of Mirror Symmetry of 2-D Shapes, December 2002

View PDF (02-61) T.F. Chan, J. Shen and L. Vese, Variational PDE Models in Image Processing, December 2002

View PDF (02-60) Bo Li and Jian-Guo Liu, Thin Film Epitaxy With or Without Slope Selection, December 2002

View PDF (02-59) W.-H. Liao, A. Khuu, M. Bergsneider, L. Vese, S.-C. Huang and S. Osher, From Landmark Matching to Shape and Open Curve Matching: A Level Set Approach, November 2002

View PDF (02-58) Barry Merriman, Understanding the Shu-Osher Conservative Finite Difference Form, October 2002

View PDF (02-57) Stanley Osher, Andres Sole and Luminita Vese, Image decomposition and restoration using total variation minimization and the H^-1 norm, October 2002

View PDF (02-56) Tolga Tasdizen, Ross Whitaker, Paul Burchard and Stanley Osher, Geometric Surface Smoothing via Anisotropic Diffusion of Normals, October 2002

View PDF (02-55) Mark L. Green, Statistics of Images, the TV Algorithm of Rudin-Osher-Fatemi for Image Denoising and an Improved Denoising Algorithm, October 2002

View PDF (02-54) David A. Huckaby and Tony F. Chan, Stewart’s Pivoted QLP Decomposition for Low-Rank Matrices, September 2002

View PDF (02-53) Xingwei Hu, Value of Loss in n-Person Games, August 2002

(02-52) Mila Nikolova, Weakly constrained minimization. Application to the estimation of images and signals involving constant regions, August 2002

View PDF (02-51) Diego Dugatkin, Hao-Min Zhou, Tony F. Chan and Michelle Effros, Lagrangian Optimization of a Group Testing for ENO Wavelets Algorithm, August 2002

View PDF (02-50) Tony F. Chan and Hao-Min Zhou ENO-Wavelet Transforms and Some Applications, August 2002

View PDF (02-49) Selim Esedoglu and Riccardo March, Segmentation With Depth but Without Detecting Junctions, August 2002

View PDF (02-48) Xingwei Hu, On Winning Structures, August 2002

View PDF (02-47) M. Bertalmio, L. Vese, G. Sapiro and S. Osher, Simultaneous Structure and Texture Image Inpainting, July 2002

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(02-45) T.F. Chan, B. Heimsund, T.K. Nilssen and X.-C. Tai, Level Set Methods and Augmented Lagrangian for a Parameter Identification Problem, July 2002

View PDF (02-44) M. Lysaker, A. Lundervold and X.-C. Tai, Noise Removal Using Fourth-Order Partial Differential Equations with Applications to Medical Magnetic Resonance Images in Space and Time, July 2002

View PDF (02-43) Stanley Osher, Level Set Method: Applications to Imaging Science, July 2002

View PDF (02-42) S. Durand and M. Nikolova, Stability of Minimizers of Regularized Least Squares Objective Functions II: Study of the Global Behavior, July 2002

View PDF (02-41) S. Durand and M. Nikolova, Stability of Minimizers of Regularized Least Squares Objective Functions I: Study of the Local Behavior, July 2002

View PDF (02-40) Mila Nikolova, Minimizers of Cost-Functions Involving Non-Smooth Data-Fidelity Terms. Application to the Processing of Outliers, July 2002

View PDF (02-39) Berta Sandberg, Tony Chan and Luminita Vese, A Level-Set and Gabor-Based Active Contour Algorithm for Segmenting Textured Images, July 2002

View PDF (02-38) Songming Hou and Xu-Dong Liu, A Numerical Method for Solving Variable Coefficient Elliptic Equation with Interfaces, July 2002

View RPT (02-37) Anna-Karin Tornberg and Bjorn Engquist, Regularization Techniques for Numerical Approximation of PDEs with Singularities, July 2002

View PDF (02-36) Luminita Vese, Multiphase Object Detection and Image Segmentation, June 2002

View PDF (02-35) Xingwei Hu and Lloyd S. Shapley, On Authority Distributions in Organizations: Controls, June 2002

View PDF (02-34) Xingwei Hu, Asymmetric Shapley-Shubik Power Index, June 2002

View PDF (02-33) Xingwei Hu and Lloyd S. Shapley, On Authority Distributions in Organizations: Equilibrium, June 2002

View PDF (02-32) Hongkai Zhao and Stanley Osher, Visualization, Analysis and Shape Reconstruction of Unorganized Data Sets, May 2002

View PDF (02-31) Sung Ha Kang, Tony F. Chan and Stefano Soatto, Inpainting from Multiple View, May 2002

View PDF (02-30) David A. Huckaby, Analysis and Applications of Stewart’s Pivoted QLP Decomposition (Ph.D. thesis), May 2002

View PDF (02-29) David A. Huckaby and Tony F. Chan, On the Convergence of Stewart’s QLP Algorithm for Approximating the SVD, May 2002

(02-28)

View PDF (02-27) Jian-Jun Xu and Hong-Kai Zhao, An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface, May 2002

View PDF (02-26) Jianhong Shen, On Some Quantum and Analytical Properties of Fractional Fourier Transforms, May 2002

View PDF (02-25) Sung Ha Kang, Mathematical Approaches to Color Denoising and Image Inpainting Problems, Ph.D. Thesis, May 2002

View PDF (02-24) W.L. Wan and Tony F. Chan, A Phase Velocity Analysis of Multigrid Methods for Hyperbolic Equations, May 2002

View PDF (02-23) Russel E. Caflisch and Bo Li, Analysis of Island Dynamics in Epitaxial Growth of Thin Films, May 2002

View PDF (02-22) Raymond H. Chan, Tony F. chan, Lixin Shen and Zuowei Shen, Wavelet Deblurring Algorithms for Spatially Varying Blur from High-Resolution Image Reconstruction, May 2002

View PDF (02-21) Raymond H. Chan, Tony F. Chan, Lixin Shen and Zuowei Shen, Wavelet Algorithms for High-Resolution Image Reconstruction, May 2002

View PDF (02-20) Jianhong Shen, Weber’s Law and Weberized TV Restoration, May 2002

View PDF (02-19) Luminita A. Vese and Stanley J. Osher, Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing, May 2002

View PDF (02-18) Frederic Gibou, Ronald Fedkiw, Russel Caflisch and Stanley Osher, A Level Set Approach for the Numerical Simulation of Dendritic Growth, April 2002

View PDF (02-17) M. Bertalmio, F. Memoli, L.T. Cheng, G. Sapiro and S. Osher, Variational Problems and Partial Differential Equations on Implicit Surfaces, April 2002

View PDF (02-16) W.L. Wan and T.F. Chan, Wave Propagation Analysis of Multigrid Methods for Convection Dominated Problems (DD14 proceeding paper), April 2002

View PDF (02-15) Weinan E and Bjorn Engquist, The Heterogeneous Multi-Scale Methods, April 2002

View PDF (02-14) Tony F. Chan and Jianhong Shen, On the Role of the BV Image Model in Image Restoration, April 2002

View PDF (02-13) Jamylle Laurice Carter, Dual Methods for Total Variation-Based Image Restoration (Ph.D. Thesis), April 2002

View PDF (02-12) Berta Sandberg and Tony Chan, Logic Operations for Active Contours on Multi-Channel Images, March 2002

View RPT (02-11) Sung Ha Kang, Tony F. Chan and Stefano Soatto, Landmark Based Inpainting from Multiple Views, March 2002

View PDF (02-10) Xue-Cheng Tai, Some New Domain Decomposition and Multigrid Methods for Variational Inequalities, March 2002

View PDF (02-09) B. Heimsund, X.-C. Tai and J. Wang, Superconvergence for the Gradient of Finite Element Approximations by L² -Projections, March 2002

View PDF (02-08) Antonio Marquina and Pep Mulet, A Fux-Split Algorithm Applied to Conservative Models for Multicomponent Compressible Flows, March 2002

View PDF (02-07) Hailiang Liu and Eitan Tadmor, Critical Thresholds in 2D Restricted Euler-Poisson Equations, March 2002

View RPT (02-06) Richard Tsai, Paul Burchard, Li-Tien Cheng, Stanley Osher and Guillermo Sapiro, Dynamic Visibility in a Level Set Based Implicit Frame Work, February 2002

(02-05) Luminita A. Vese and Stanley J. Osher, The Level Set Method Links Active Contours, Mumford-Shah Segmentation, and Total Variation Restoration, February 2002

View PDF (02-04) Facundo Memoli, Guillermo Sapiro and Stanley Osher, Solving Variational Problems and Partial Differential Equations Mapping into General Target Manifolds, January 2002

View PDF (02-03) Tolga Tasdizen, Ross Whitaker, Paul Burchard and Stanley Osher, Geometric Surface Processing via Normal Maps, January 2002

View PDF (02-02) Tony F. Chan and Ke Chen, On Two Variants of an Algebraic Wavelet Preconditioner, January 2002

View PDF (02-01) Paul Burchard, Total Variation Geometry I: Concepts and Motivation, January 2002

2001

View PDF (01-34) Gui-Qiang Chen and Hailiang Liu, Formation of Delta-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Isentropic Euler Equations, December 2001

View PDF (01-33) Ronald P. Fedkiw, Guillermo Sapiro and Chi-Wang Shu, Shock Capturing, Level Sets and PDE Based Methods in Computer Vision and Image Processing: A Review on Osher’s Contribution, December 2001

View PDF (01-32) Stefano Soatto and Anthony J. Yezzi, Deformotion Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images, December 2001

View RPT (01-31) Eitan Tadmor, From Semidiscrete to Full Discrete: Stability of Runge-Kutta Schemes by the Energy Method. II, December 2001

View PDF (01-30) R.E. Caflisch and Cheng Ly, Analytic Model for Electron Confinement in a Layered Material, November 2001

View PDF (01-29) Yen-Hsi Tsai, Research Statement, October 2001

View PDF (01-28) Hailiang Liu and Eitan Tadmor, Spectral Dynamics of the Velocity Gradient Field in Restricted Flows, October 2001

View PDF (01-27) Yen-hsi Richard Tsai, Li-Tien Cheng, Stanley Osher and Hong-Kai Zhao, Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations, October 2001

View PDF (01-26) Selim Esedoglu and Jianhong Shen, Digital Inpainting Based on the Mumford-Shah-Euler Image Model, September 2001

View RPT (01-25) Luminita A. Vese and Tony F. Chan, A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model, September 2001

View PDF (01-24) Haitao Fan and Hailiang Liu Pattern Formation, Wave Propagation and Stability in Conservation Laws with Slow Diffusion and Fast Reaction, September 2001

View PDF (01-23) F. Malgouyres, A Unified Framework for Image Restoration, August 2001

View PDF (01-22) Luminita A. Vese and Stanley J. Osher, Numerical Methods for p-harmonic Flows and Applications to Image Processing, August 2001 (Note: page 18 contains color pictures)

View PDF (01-21) K.H. Karlsen, N.H. Risebro and J.D. Towers, Convergence of an Upwind Difference Scheme for Degenerate Parabolic Convection-Diffusion Equations with a Discontinuous Coefficient, July 2001

View PDF (01-20) Frederic G. Gibou, Rate Equations in Materials Science and Simulation of Multiphase Flows (Ph.D. Thesis), July 2001

View RPT (01-19) F. Malgouyres, A Noise Selection Approach of Image Restoration, June 2001

View PDF (01-18) R. Buerger, K.H. Karlsen, C. Klingenberg and N.H. Risebro, A Front Tracking Approach to a Model of Continuous Sedimentation in Ideal Clarifier-Thickener Units, June 2001

View PDF (01-17) Raimund Burger, Kenneth Hvistendahl Karlsen, Elmer M. Tory and Wolfgang L. Wendland, Model Equations and Instability Regions for the Sedimentation of Polydisperse Suspensions of Spheres, June 2001

View PDF (01-16) Hailiang Liu and Eitan Tadmor, Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws, May 2001 (revised September 2001)

View RPT (01-15) Tony F. Chan and Jianhong Shen, Morphology Invariant PDE Inpaintings, May 2001

View PDF (01-14) Bjorn Engquist and Olof Runborg, Wavelet-Based Numerical Homogenization with Applications, April 2001

View PDF (01-13) Bjorn Engquist, Olof Runborg, Anna-Karin Tornberg, High Frequency Wave Propagation by the Segment Projection Method, April 2001

View PDF (01-12) Tony F. Chan, Sung Ha Kang and Jianhong Shen, Euler’s Elastica and Curvature Based Inpaintings, April 2001

View PDF (01-11) Kenneth H. Karlsen, Nils H. Risebro and John D. Towers, On a Nonlinear Degenerate Parabolic Transport-Diffusion Equation with a Discontinuous Coefficient, April 2001

View PDF (01-10) Eitan Tadmor and Jared Tanner, Adaptive Mollifiers — High Resolution Recovery of Piecewise Smooth Data from its Spectral Information, April 2001

View PDF (01-09) Fred E. Benth, Kenneth H. Karlsen and Kristin Reikvam, Merton’s portfolio Optimization Problem in a Black & Scholes Market with Non-Gaussian Stochastic Volatility of Ornstein-Uhlenbech Type, March 2001

View PDF (01-08) Anthony Yezzi and Stefano Soatto, Stereoscopic Segmentation, March 2001

View PDF (01-07) Shlomo Engelberg, Hailiang Liu and Eitan Tadmor, Critical Thresholds in Euler-Poisson Equations, March 2001

View PDF (01-06) Steinar Evje and Kenneth H. Karlsen, An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations, March 2001

View PDF (01-05) Yen-Hsi Richard Tsai, Yoshikazu Giga and Stanley Osher, A Level Set Approach for Computing Discontinuous Solutions of a Class of Hamilton-Jacobi Equations, February 2001

View PDF (01-04) F. Malgouyres, A Noise Selection Approach of Denoising, February 2001

View RPT (01-03) Espen R. Jakobsen and Kenneth H. Karlsen, Continuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Equations, February 2001

View PDF (01-02) Kenneth H. Karlsen and Mario Ohlberger, A Note on the Uniqueness of Entropy Solutions of Nonlinear Degenerate Parabolic Equations, January 2001

View PDF  (01-01) Hong-Kai Zhao, Stanley Osher and Ronald Fedkiw, Implicit Surface Reconstruction and Deformation Using the Level Set Method, January 2001