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

Recent UCLA Computational and Applied Mathematics Reports

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2024

View PDF (24-18), R. Tibshirani,  S. Wu Fung, H. Heaton, S. Osher, Laplace Meets Moreau: Smooth Approximation to Infimal Convolutions Using Laplace’s Method, June 2024

View PDF (24-17) , A. Kashefi, A MISLEADING GALLERY OF FLUID MOTION BY GENERATIVE ARTIFICIAL INTELLIGENCE, May 2024

View PDF (24-16) , H.Y. Tan, S. Osher, W. Li, NOISE-FREE SAMPLING ALGORITHMS VIA REGULARIZED WASSERSTEIN PROXIMALS, May 2024

View PDF (24-15) A. Vidal, S. Wu Fung, S. Osher, L. Tenorio, L. Nurbekyan, Kernel Expansions for High-Dimensional Mean-Field Control with Non-local Interactions, May 2024. 

View PDF (24-14) K. Enakoutsa, Y. Bills, Numerical Implementation and Assessment of a Multi-length Scale Model with Mixed Isotropic-Kinematic Strain Hardening and Memory Effects for High-Fidelity Prediction of Plastic Behavior of Steels amid Phase Transformation, Aptil 2024

View PDF (24-13) A. Vijaywargiya, G. Fu, S. Osher, W. Li, EFFICIENT COMPUTATION OF MEAN FIELD CONTROL BASED BARYCENTERS FROM REACTION-DIFFUSION SYSTEMS, April 2024.

View PDF (24-12) L. Nurbekyan, S. Liu, Y.T. Chow, “MONOTONE INCLUSION METHODS FOR A CLASS OF SECOND-ORDER NON-POTENTIAL MEAN-FIELD GAMES”. 2024

View PDF (24-11) Y. Kang, S. Zare, A. Lin, Z. Han, S. Osher, H. Nguyen, Game Theory Meets Data Augmentation, March 2024

View PDF (24-10) T. Meng, S, Liu, W. Li, S. Osher, A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs, February 2024

View PDF (24-09) X. Zuo, J. Zhao, S. Liu, S. Osher, W. Li, NUMERICAL ANALYSIS ON NEURAL NETWORK PROJECTED SCHEMES FOR APPROXIMATING ONE DIMENSIONAL WASSERSTEIN GRADIENT FLOWS, February, 2024

View PDF (24-08) K. Craig, K. Elamvazhuthi, H. Lee, A BLOB METHOD FOR MEAN FIELD CONTROL WITH TERMINAL CONSTRAINTS, February 2024

View PDF (24-07) K. Enakoutsa, Y. Li, Mastering the Art: Proficient Finite Element Implementation and Robust Evaluation of a Strain-Hardening Porous Ductile Material Crack Growth Prediction Model at Finite Strain, February, 2024

View PDF (24-06) B. Zhang, S. Liu, W. Li, M. Katsoulakis, S. Osher, Wasserstein proximal operators describe score-based generative models and resolve memorization, February 9, 2024

View PDF (24-05) K. Enakoutsa, Y. Bills, Moving from theory to application: Evaluating the numerical implementation of void shape effects and damage delocalization in the modeling of ductile fracture in porous plastic metals, January 2024

View PDF (24-04) S. Liu, X. Zuo, S. Osher, W. Li, NUMERICAL ANALYSIS OF A FIRST-ORDER COMPUTATIONAL ALGORITHM FOR REACTION-DIFFUSION EQUATIONS VIA THE PRIMAL-DUAL HYBRID GRADIENT METHOD, January 26, 2024

View PDF (24-03) K. Enakoutsa, Y. Bills, “A Comprehensive Numerical Assessment, Implementation and Evaluation of a Constitutive Model Describing the Plastic Behavior of Metals During Phase Transformation, with Integration of Mixed Isotropic-Kinematic Strain Hardening, January, 2024

View PDF (24-02) F. Han, S. Osher, W. Li, TENSOR TRAIN BASED SAMPLING ALGORITHMS FOR APPROXIMATING REGULARIZED WASSERSTEIN PROXIMAL OPERATORS, January 23, 2024

View PDF (24-01) M. Zhou,  S. Osher, W. Li, A deep learning algorithm for computing mean field control problems via forward-backward score dynamics, January 17, 2024

2023

View PDF (23-44) L. Yang, S.Osher, PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws, December 17 2023.

View PDF (23-43) K. Enakoutsa, Y. Bills, Analytical Solutions of Some Benchmark Problems Incorporating Visco-Elastoplasticity Laws in Both Small and Large Transformations, December 2023

View PDF (23-42) K. Enakoutsa, A MESH-FREE METHOD APPROCAH FOR THE COMPUTATIONAL MODELING OF HIGH RATE FRACTURE OF MATERIALS, November 2023

View PDF (23-41) L. Nurbekyan, A note on the convergence of the monotone inclusion version of the primal-dual hybrid gradient algorithm, November 7, 2023

View PDF (23-40) L. Yang, S. Liu, S. Osher, Fine-Tune Language Models as Differential Equation Solvers, November 6 2023

View PDF (23-39) R. Manekar, E. Negrini, M. Pham, D. Jacobs, J. Srivastava, S. Osher, J. Miao, LoDIP: Low light phase retrieval with deep image prior, October 2023

View PDF (23-38) K. Enakoutsa, Y. Li, Finite Element Implementation at Finite Strain and Assessment of a Prediction Model for Crack Growth in Strain Hardening Porous Ductile
Materials, October 2023

View PDF (23-37) K. Enakoutsa, Y. Bills, Moving from Theory to Application: Evaluating the Numerical Implementation of Void Shape Effects and Damage Delocalization in the Modelling of Ductile Fracture in Porous Plastic Metals, October 2023

View PDF (23-36) M. Collins, Z. Gong, A. Ogranovich, N. White, S. Tymochko, M. A. Porter, A Deffuant–Weisbuch Model of Opinion Dynamics with Adaptive Confidence Bounds, October 2023

View PDF (23-35) B. Kim, H. Ji, A.L. Bertozzi, A. Sadeghpour, Y. Sungtaek Ju, A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber, October 2023

View PDF (23-34) Y. Liu, Z. Zhang, H. Schaeffer, PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers, October 2023

View PDF (23-33) M. Pham, Y. Yuan, A. Rana, S. Osher, J. Miao, Accurate real space iterative reconstruction (RESIRE) algorithm for tomography, October, 2023

View PDF (23-32) T. Meng, W. Hao, S. Líu, S. Osher, W. Li, Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations, October 2, 2023

View PDF (23-31) J.K. Alcala, Y.T. Chow, M. Sunkula, Moving Anchor Extragradient Methods For Smooth Structured Minimax Problems, August 2023

View PDF (23-30) A. Kashefi, T. Mukerji, Prediction of fluid flow in porous media by sparse observations and physics-informed PointNet, August 2023

View PDF (23-29) H.Y. Tan, S. Osher, W. Li, NOISE-FREE SAMPLING ALGORITHMS VIA REGULARIZED WASSERSTEIN PROXIMALS, August 2023

View PDF (23-28) J. Aujol, L. Calatroni, C. Dossal, H. Labarriere, A. Rondepierre, PARAMETER-FREE FISTA BY ADAPTIVE RESTART AND BACKTRACKING, August 2023

View PDF (23-27) C. Wang, J. Aujol, G. Galboa, Y. Lou Minimizing Quotient Regularization Model, August 2023

View PDF (23-26) L. Yang, T. Meng, S. Liu, S. Osher Prompting In-Context Operator Learning with
Sensor Data, Equations, and Natural Language, August 2023

View PDF (23-25) G. Fu, S. Osher, W. Pazner, W. Li GENERALIZED OPTIMAL TRANSPORT AND MEAN
FIELD CONTROL PROBLEMS FOR REACTION-DIFFUSION SYSTEMS WITH HIGH-ORDER FINITE ELEMENT COMPUTATION, June 2023

View PDF (23-24) D. Johnson, R. Fedkiw, Addressing Discontinuous Root-Finding for Subsequent Differentiability in Machine Learning, Inverse Problems, and Control, May 2023

View PDF (23-23) S. Liu, S. Liu, S. Osher, W. Li, A first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient method, May 2023

View PDF (23-22) R. Burson, K. Enakoutsa, DUCTILE VOID GROWING IN MICROMORPHIC GLPD POROUS
PLASTIC SOLIDS CONTAINING TWO POPULATIONS OF CAVITIES WITH DIFFERENT SIZES, May 2023

View PDF (23-21) X. Zuo, S.Osher, W. Li, Primal-Dual Damping algorithms for optimization, May 2023

View PDF (23-20) L. Yang, S.Liu, T. Meng, S. Osher, In-Context Operator Learning for with Prompts for Differential
Equation Problems, April 2023

View PDF (23-19) Y. Yang, L. Nurbekyan, E. Negrini, R. Martin, M. Pasha, Optimal Transport for Parameter Identification of Chaotic Dynamical Systems via Invariant Measures, April 2023

View PDF (23-18) L. Nurbekyan, W. Lei, Y. Yang, Efficient Natural Gradient Methods for Large-Scale PDE-Based
Optimization Problems, April 2023

View PDF (23-17) A. Vidal, S. Fung, L. Tenorio, S. Osher, L. Nurbekyan, Taming Hyperparameter Tuning in Continuous Normalizing Flows Using the JKO Scheme, April 2023

View PDF (23-16) C. Finlay, J.Jacobsen, L. Nurbekyan, A. Oberman, How to Train Your Neural ODE: the World of Jacobian and Kinetic Regularization, April 2023

View PDF (23-15) D. Onken, L. Nurbekyan, X. Li, S. Fung, S. Osher, L. Ruthotto, A Neural Network Approach Applied to Multi-Agent Optimal Control, April 2023

View PDF (23-14) E. Negrini, L. Nurbekyan, Applications of No-Collision Transportation Maps in Manifold Learning, April 2023

View PDF (23-13) A. Kashefi, L. Guibas, T. Mukerji, Physics-informed PointNet: On how many irregular geometries can it solve an inverse problem simultaneously? Application to linear elasticity, March 2023

View PDF (23-12) G. Fu, S. Osher, W. Li, High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems, March 2023

View PDF (23-11) T. Cecil, D. Peng, D. Abrams, S. Osher, E. Yablonovitch, Advances in Inverse Lithography, March 2023

View PDF (23-10) M. Choi, S. Huang, H. Qi, M. Scialanga, E. McMullen, A. Moreno, Y. Lou, A. Bertozzi, J. Brantingham, Combining Dynamic Mode Decomposition and Difference-in-Differences in an Analysis of At-Risk Youth, February 2023

View PDF (23-09) C. Adams, M. Bozhidarova, J. Chen, A. Gao, Z. Liu, H. Priniski, J. Lin, R. Sonthalia, A. Bertozzi, J. Brantingham, Knowledge Graphs of the QAnon Twitter Network, February 2023

View PDF (23-08) M. Bongarti, L. Galvan, L. Hatcher, M. Lindstrom, C. Parkinson, C. Wang, A. Bertozzi, Alternative SIAR models for infectious diseases and applications in the study of non-compliance, February 2023

View PDF (23-07) D. Yang, Y. Ge, T. Nguyen, D. Molitor, J. Moorman, A. Bertozzi, Structural Equivalence in Subgraph Matching, February 2023

View PDF (23-06) G. Fu, S. Liu, S. Osher, W. Li, High order computation of optimal transport, mean field planning, and mean field games, February 2023

View PDF (23-05) K. Enakoutsa, A. Corte, I. Giorgio, A model for elastic flexoelectric materials including strain gradient effects, January 2023

View PDF (23-04) W. Li, S. Liu, S. Osher, A KERNEL FORMULA FOR REGULARIZED WASSERSTEIN PROXIMAL OPERATORS, January 2023

View PDF (23-03) K. Enakoutsa, J. Leblond, Numerical implementation and assessment of the GLPD micromorphic model of ductile rupture, January 2023

View PDF (23-02) A. Adedoyin, K. Enakoutsa, and D. Bammann, A Qualitative Assessment of the Multiphase EMMI Plasticity Model Coupled with Phase Transformation Kinetics, January 2023

View PDF (23-01) M. Kirchner, J. Hespanha, D. Grimsman, J. Marden, Trajectories for the Optimal Collection of Information, January 2023

2022

View PDF (22-33) K. Enakoutsa, Electrostatic Potential Induced by Flexoelectric Effects in Nanowires. Part I: Analytical Study, December 2022

View PDF (22-32) Y. Li, K. Enakoutsa, Representations of Incompressible Vector Fields with Application in Metal Plasticity Modeling, November 2022

View PDF (22-31) S. Osher, H. Heaton, S. Wu Fung, A Hamilton-Jacobi-based Proximal Operator, November 2022

View PDF (22-30) K. Enakoutsa, Y. Li, Exact Tangent Stiffness Matrices for Ductile Damage Models of Gurson and its Extension to Include Strain Hardening Effects, November 2022

View PDF (22-29) K. Enakoutsa, Mathematics an physics based models of metal and composite materials’ properties and fracture and their applications, November 2022

View PDF (22-28) X. Dong, K. Enakoutsa, Some Numerical Simulations in Favor of the Morrey’s Conjecture, October 2022

View PDF (22-27) K. Enakoutsa, Y. Li, Numerisation of a constitutive model of ductile damage in porous metals accounting for damage delocalization, cavities’ nucleation, and mixed isotropic-kinematic hardening, October 2022

View PDF (22-26) K. Enakoutsa, Y. Li, A Numerical implementation of elastoplasticity theory at finite strains, October 2022

View PDF (22-25) K. Enakoutsa, X.Dong, Numerical implementation for a constitutive model of plastic behavior of metals undergoing phase transformation incorporating the mixed isotropic-kinematic hardening, October 2022

View PDF (22-24) K. Enakoutsa, X. Dong, A projection algorithm for a constitutive model of ductile failure in porous plastic metals incorporating void shape effects, October 2022

View PDF (22-23) R. Burson and K. Enakousta, Ductile Void Growing in Micromorphic GLPD Porous Plastic Solids Containing two Populations of Cavities with Different Sizes, September 2022

View PDF (22-22) K. Enakoutsa, D. Bammann, A. Adetokunbo, On The Development of a Multi-Scale Continuum Model for Anisotropic Plasticity Due to Texture, September 2022

View PDF (22-21) K. Enakoutsa, B. Templin, A. Adedoyin, and D. Bammann, An extension of a model of texture induced anisotropy in polycrystalline materials, September 2022

View PDF (20-20) K. Enakoutsa, B. Templin, A. Adedoyin, and D. Bammann, Development, Implementation, and Assessment of a Continuum Model of Anisotropic Behavior of Polycrystalline Materials Due to Texture using a Second Order Structure Tensor, September 2022

View PDF (22-19) K. Enakoutsa, An Exact Consistent Tangent Stiffness Matrix for a Second Gradient Model for Porous Plastic Solids: Derivation and Assessment, September 2022

View PDF (22-18)  R. Burson and K. Enakousta, Closed-form Analytic Solutions of the Problem of a Hollow Sphere Made of Second Gradient Plastic Porous Material and Subjected to Hydrostatic Loading, September 2022

View PDF (22-17) Alex Tong Lin and Stanley Osher, Multi-Agent Shape Control with Optimal Transport, July 2022

View PDF (22-16) Siting Liu, Chi-Wang Shu, Wuchen Li and Stanley Osher, A Primal-dual Approach for Solving Conservation Laws with Implicit in Time Approximations, July 2022

View PDF (22-15) Jiajia Yu, Rongjie Lai, Wuchen Li and Stanley Osher, A Fast Proximal Gradient Method and Convergence Analysis for Dynamic Mean Field Planning, July 2022

View PDF (22-14) Thomas Cecil, Danping Peng, Daniel Abrams, Eli Yablonovitch and Stanley Osher, Advances in Inverse Lithography for ACS Photonics, July 2022

View PDF (22-13) Jiajia Yu, Rongjie Lai, Wuchen Li, and Stanley Osher, Computational Mean-field Games on Manifolds , June 2022 (revised January 2023)

View PDF (22-12) Aaqib Saeed and Harlin Lee, Pediatric Sleep Scoring In-the-wild from Millions of Multi-channel EEG Signals , May 2022

View PDF (22-11) Aaqib Saeed and Harlin Lee, Distilled Non-Semantic Speech Embeddings with Binary Neural Networks for Low-Resource Devices, May 2022

View PDF (22-10) Howard Heaton and Samy Wu Fung, Explainable AI via Learning to Optimize, May 2022

View PDF (22-09) Hailiang Liu and Wumaier Maimaitiyiming, A Dynamic Mass Transport Method for Poisson-Nernst-Planck Equations, May 2022

View PDF (22-08) Alex Tong Lin,  Daniel Eckhardt, Robert Martin, Stanley Osher, and Adrian S. Wong, Parameter Inference of Time Series by Delay Embeddings and Learning Differentiable Operators, March 2022

View PDF (22-07) Yat Tin Chow, Samy Wu Fung, Siting Liu, Levon Nurbekyan, and Stanley Osher, A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem, April 2022

View PDF (22-06) Alex Tong Lin, Daniel Eckhardt, Robert Martin, Stanley Osher, and Adrian S. Wong, Parameter Inference of Time Series by Delay Embeddings and Learning Differentiable Operators, March 2022

View PDF (22-05) Katy Craig, Karthik Elamvazhuthi, Matt Haberland, Olga Turanova, A Blob Method for Inhomogeneous Diffusion with Applications to Multi-agent Control and Sampling, March 2022

View PDF (22-04) Sudhanshu Agrawal, Wonjun Lee, Samy Wu Fung, Levon Nurbekyan, Random Features for High-Dimensional Nonlocal Mean-Field Games, February 2022

View PDF (22-03) Wuchen Li, Siting Liu and Stanley Osher, Controlling Conservasion Laws II: Compressible Navier-Stokes Equations, February 2022

View PDF (22-02) Howard Heaton, Samy Wu Fung and Stanley Osher, Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs, February 2022 (revised October 2022)

View PDF (22-01) J-F Aujol, C. Dossal, and A. Rondepierre, FISTA is an automatic geometrically optimized algorithm for strongly convex functions, January 2022

2021

View PDF (21-15) Wuchen Li, Siting Liu, Stanley Osher, Controlling conservation laws I: entropy-entropy flux, November 2021

View PDF (21-14) Y.T. Chow, W.T. Leung, A. Pakzad, Continuous data assimilation for two-phase flow: analysis and simulations, November 2021

View PDF (21-13) Y.T. Chow, Y. Deng, H. Liu, M. Sunkula, Surface concentration of transmission eigenfunctions, November 2021

View PDF (21-12) H. Ammari, Y.T. Chow, H. Liu, M. Sunkula, Quantum integrable systems and concentration of plasmon resonance, November 2021

View PDF (21-11) Wuchen Li, Wonjun Lee, Stanley Osher, Computational Mean-field information dynamics associated with Reaction diffusion equations, July 2021 Updated March 2022, Updated June 2022

View PDF (21-10) Ryan Shijie Du, Lily Liu, Simon Ng, Sneha Sambandam, Bernardo Hernandez Adame, Hansell Perez, Kyung Ha, Claudia Falcon, Joseph de Rutte, Dino Di Carlo, and Andrea L. Bertozzi, Statistical Energy Minimization Theory for Systems of Drop-Carrier Particles, June 2021

View PDF (21-09) Wen Li, Elena Resmerita, Luminita Vese, Multiscale hierarchical image decomposition and refinements: qualitative and quantitative results, June 2021

View PDF (21-08) Bao Wang and Stanley J. Osher, Graph Interpolating Activation Improves Both Natural and Robust Accuracies in Data-Efficient Deep Learning, May 2021

View PDF (21-07) M. Burger, W. E, L. Ruthotto and S. J . Osher, Connections between deep learning and partial differential equations, May 2021

View PDF (21-06) Howard Heaton, Samy Wu Fung, Aviv Gibali, and Wotao Yin, Feasibility-based Fixed Point Networks, April 2021

View PDF (21-05) Wonjun Lee, Siting Liu, Wuchen Li, and Stanley Osher, Mean field control problems for Vaccine distribution, April 2021 Updated September 2021, Updated June 2022

View PDF (21-04) Matt Jacobs, Wonjun Lee, and Flavien Leger, The Back-and-Forth Method For Wasserstein Gradient Flows, April 2021

View PDF (21-03) Derek Onken, Levon Nurbekyan, Xingjian Li, Samy Wu Fung, Stanley Osher, Lars Ruthotto, A Neural Network Approach for High-Dimensional Optimal Control, April 2021

View PDF (21-02) Samy Wu Fung, Howard Heaton, Qiuwei Li, Daniel McKenzie, Stanley Osher, Wotao Yin, Fixed Point Networks: Implicit Depth Models with Jacobian-Free Backprop, March 2021

View PDF (21-01) Jiajia Yu, Rongjie Lai, Wuchen Li, and Stanley Osher, A Fast Proximal Gradient Method and Convergence Analysis For Dynamic Mean Field Planning, February 2021