Solution of the hydrodynamic device model using high-order nonoscillatory shock capturing algorithms. - Emad Fatemi; Joseph W. Jerome; Stanley J. Osher (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1991)

Total Variation Based Image Restoration with Free Local Constraints. - Leonid I. Rudin; Stanley J. Osher (ICIP (1), 1994)

Fast Wavelet Based Algorithms for Linear Evolution Equations. - Björn Engquist; Stanley J. Osher; Sifen Zhong (SIAM J. Sci. Comput., 1994)

Regularization of Ill-Posed Problems Via the Level Set Approach. - Eduard Harabetian; Stanley J. Osher (SIAM J. Appl. Math., 1998)

A New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal. - Antonio Marquina; Stanley J. Osher (Scale-Space, 1999)

Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method. - Hong-Kai Zhao; Stanley J. Osher; Barry Merriman; Myungjoo Kang (Comput. Vis. Image Underst., 2000)

Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal. - Antonio Marquina; Stanley J. Osher (SIAM J. Sci. Comput., 2000)

Diffusion-Generated Motion by Mean Curvature for Filaments. - Steven J. Ruuth; Barry Merriman; Jack Xin; Stanley J. Osher (J. Nonlinear Sci., 2001)

The digital TV filter and nonlinear denoising. - Tony F. Chan; Stanley J. Osher; Jianhong Shen (IEEE Trans. Image Process., 2001)

Geometric Surface Smoothing via Anisotropic Diffusion of Normals. - Tolga Tasdizen; Ross T. Whitaker; Paul Burchard; Stanley J. Osher (IEEE Visualization, 2002)

Numerical Methods for p-Harmonic Flows and Applications to Image Processing. - Luminita A. Vese; Stanley J. Osher (SIAM J. Numer. Anal., 2002)

Level set methods and dynamic implicit surfaces. - Stanley J. Osher; Ronald Fedkiw (Springer, 2003)

3D Shape from Anisotropic Diffusion. - Paolo Favaro; Stanley J. Osher; Stefano Soatto; Luminita A. Vese (CVPR (1), 2003)

Image filling-in in a decomposition space. - Marcelo Bertalmío; Luminita A. Vese; Guillermo Sapiro; Stanley J. Osher (ICIP (1), 2003)

New framework for object warping: semi-Lagrangian level set approach. - Wei-Hsun Liao; Hillary Protas; Luminita A. Vese; Sung-Cheng Huang; Marvin Bergsneider; Stanley J. Osher (ICIP (3), 2003)

Image decomposition, image restoration, and texture modeling using total variation minimization and the H/sup-1/ norm. - Stanley J. Osher; Andres Fco. Solé; Luminita A. Vese (ICIP (1), 2003)

Level set methods in image science. - Yen-Hsi Tsai; Stanley J. Osher (ICIP (2), 2003)

Computational Anatomy and Implicit Object Representation: A Level Set Approach. - Wei-Hsun Liao; Luminita A. Vese; Sung-Cheng Huang; Marvin Bergsneider; Stanley J. Osher (WBIR, 2003)

A Level Set Approach for the Numerical Simulation of Dendritic Growth. - Frédéric Gibou; Ronald Fedkiw; Russel E. Caflisch; Stanley J. Osher (J. Sci. Comput., 2003)

Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing. - Luminita A. Vese; Stanley J. Osher (J. Sci. Comput., 2003)

Image Decomposition and Restoration Using Total Variation Minimization and the H1. - Stanley J. Osher; Andres Fco. Solé; Luminita A. Vese (Multiscale Model. Simul., 2003)

A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. - Yen-Hsi Richard Tsai; Yoshikazu Giga; Stanley J. Osher (Math. Comput., 2003)

Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations. - Yen-Hsi Richard Tsai; Li-Tien Cheng; Stanley J. Osher; Hong-Kai Zhao (SIAM J. Numer. Anal., 2003)

Simultaneous structure and texture image inpainting. - Marcelo Bertalmío; Luminita A. Vese; Guillermo Sapiro; Stanley J. Osher (IEEE Trans. Image Process., 2003)

Geometric surface processing via normal maps. - Tolga Tasdizen; Ross T. Whitaker; Paul Burchard; Stanley J. Osher (ACM Trans. Graph., 2003)

Kernel Density Estimation and Intrinsic Alignment for Knowledge-Driven Segmentation: Teaching Level Sets to Walk. - Daniel Cremers; Stanley J. Osher; Stefano Soatto (DAGM-Symposium, 2004)

Level set and PDE methods for computer graphics. - David E. Breen; Ron Fedkiw; Ken Museth; Stanley J. Osher; Guillermo Sapiro; Ross T. Whitaker (SIGGRAPH Course Notes, 2004)

Image Denoising and Decomposition with Total Variation Minimization and Oscillatory Functions. - Luminita A. Vese; Stanley J. Osher (J. Math. Imaging Vis., 2004)

Noise removal using smoothed normals and surface fitting. - Ola Marius Lysaker; Stanley J. Osher; Xue-Cheng Tai (IEEE Trans. Image Process., 2004)

Structure-Texture Decomposition by a TV-Gabor Model. - Jean-François Aujol; Guy Gilboa; Tony F. Chan; Stanley J. Osher (VLSM, 2005)

Nonlinear Inverse Scale Space Methods for Image Restoration. - Martin Burger 001; Stanley J. Osher; Jinjun Xu; Guy Gilboa (VLSM, 2005)

Global Minimization of the Active Contour Model with TV-Inpainting and Two-Phase Denoising. - Shingyu Leung; Stanley J. Osher (VLSM, 2005)

Image Cartoon-Texture Decomposition and Feature Selection Using the Total Variation Regularized L1 Functional. - Wotao Yin; Donald Goldfarb; Stanley J. Osher (VLSM, 2005)

Blind deconvolution using TV regularization and Bregman iteration. - Lin He 010; Antonio Marquina; Stanley J. Osher (Int. J. Imaging Syst. Technol., 2005)

Deblurring and Denoising of Images by Nonlocal Functionals. - Stefan Kindermann 001; Stanley J. Osher; Peter W. Jones 003 (Multiscale Model. Simul., 2005)

An Iterative Regularization Method for Total Variation-Based Image Restoration. - Stanley J. Osher; Martin Burger 001; Donald Goldfarb; Jinjun Xu; Wotao Yin (Multiscale Model. Simul., 2005)

Fast Sweeping Methods for Static Hamilton-Jacobi Equations. - Chiu-Yen Kao; Stanley J. Osher; Yen-Hsi Tsai (SIAM J. Numer. Anal., 2005)

Color Texture Modeling and Color Image Decomposition in a Variational-PDE Approach. - Luminita A. Vese; Stanley J. Osher (SYNASC, 2006)

Structure-Texture Image Decomposition - Modeling, Algorithms, and Parameter Selection. - Jean-François Aujol; Guy Gilboa; Tony F. Chan; Stanley J. Osher (Int. J. Comput. Vis., 2006)

Kernel Density Estimation and Intrinsic Alignment for Shape Priors in Level Set Segmentation. - Daniel Cremers; Stanley J. Osher; Stefano Soatto (Int. J. Comput. Vis., 2006)

Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension. - Thomas C. Cecil; Stanley J. Osher; Jianliang Qian (J. Comput. Phys., 2006)

Iterative Total Variation Regularization with Non-Quadratic Fidelity. - Lin He 010; Martin Burger 001; Stanley J. Osher (J. Math. Imaging Vis., 2006)

Denoising by BV-duality. - Stefan Kindermann 001; Stanley J. Osher; Jinjun Xu (J. Sci. Comput., 2006)

A Level Set Framework for Capturing Multi-Valued Solutions of Nonlinear First-Order Equations. - Hailiang Liu; Li-Tien Cheng; Stanley J. Osher (J. Sci. Comput., 2006)

Nonlocal evolutions for image regularization. - Guy Gilboa; Stanley J. Osher (Computational Imaging, 2007)

Topology Preserving Log-Unbiased Nonlinear Image Registration: Theory and Implementation. - Igor Yanovsky; Paul M. Thompson; Stanley J. Osher; Alex D. Leow (CVPR, 2007)

Multiphase Segmentation of Deformation using Logarithmic Priors. - Igor Yanovsky; Paul M. Thompson; Stanley J. Osher; Luminita A. Vese; Alex D. Leow (CVPR, 2007)

Solving the Chan-Vese Model by a Multiphase Level Set Algorithm Based on the Topological Derivative. - Lin He 010; Stanley J. Osher (SSVM, 2007)

A TV-Stokes Denoising Algorithm. - Talal Rahman; Xue-Cheng Tai; Stanley J. Osher (SSVM, 2007)

Log-unbiased large-deformation image registration. - Igor Yanovsky; Stanley J. Osher; Paul M. Thompson; Alex D. Leow (VISAPP (1), 2007)

Incorporating topological derivatives into shape derivatives based level set methods. - Lin He 010; Chiu-Yen Kao; Stanley J. Osher (J. Comput. Phys., 2007)

Fast Global Minimization of the Active Contour/Snake Model. - Xavier Bresson; Selim Esedoglu; Pierre Vandergheynst; Jean-Philippe Thiran; Stanley J. Osher (J. Math. Imaging Vis., 2007)

Level Set Based Simulations of Two-Phase Oil-Water Flows in Pipes. - Myungjoo Kang; Hyeseon Shim; Stanley J. Osher (J. Sci. Comput., 2007)

Preface. - Stanley J. Osher (J. Sci. Comput., 2007)

A comparison of three total variation based texture extraction models. - Wotao Yin; Donald Goldfarb; Stanley J. Osher (J. Vis. Commun. Image Represent., 2007)

Direct cortical mapping via solving partial differential equations on implicit surfaces. - Yonggang Shi; Paul M. Thompson; Ivo D. Dinov; Stanley J. Osher; Arthur W. Toga (Medical Image Anal., 2007)

Inverse Total Variation Flow. - Martin Burger 001; Klaus Frick; Stanley J. Osher; Otmar Scherzer (Multiscale Model. Simul., 2007)

Nonlocal Linear Image Regularization and Supervised Segmentation. - Guy Gilboa; Stanley J. Osher (Multiscale Model. Simul., 2007)

The Total Variation Regularized L1 Model for Multiscale Decomposition. - Wotao Yin; Donald Goldfarb; Stanley J. Osher (Multiscale Model. Simul., 2007)

Iterative Regularization and Nonlinear Inverse Scale Space Applied to Wavelet-Based Denoising. - Jinjun Xu; Stanley J. Osher (IEEE Trans. Image Process., 2007)

Multimodal unbiased image matching via mutual information. - Igor Yanovsky; Paul M. Thompson; Stanley J. Osher; Alex D. Leow (Computational Imaging, 2008)

Asymmetric and symmetric unbiased image registration: Statistical assessment of performance. - Igor Yanovsky; Paul M. Thompson; Stanley J. Osher; Alex D. Leow (CVPR Workshops, 2008)

Fast nonlocal filtering applied to electron cryomicroscopy. - Jérôme Darbon; Alexandre Cunha; Tony F. Chan; Stanley J. Osher; Grant J. Jensen (ISBI, 2008)

Validating unbiased registration on longitudinal MRI scans from the Alzheimer'S Disease neuroimaging initiative (ADNI). - Igor Yanovsky; Paul M. Thompson; Stanley J. Osher; Xue Hua; David W. Shattuck; Arthur W. Toga; Alex D. Leow (ISBI, 2008)

Level Set Based Surface Capturing in 3D Medical Images. - Bin Dong 001; Aichi Chien; Yu Mao; Jian Ye; Stanley J. Osher (MICCAI (1), 2008)

Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes. - Chiu-Yen Kao; Stanley J. Osher; Jianliang Qian (J. Comput. Phys., 2008)

Essentially Non-Oscillatory Adaptive Tree Methods. - Thomas C. Cecil; Stanley J. Osher; Jianliang Qian (J. Sci. Comput., 2008)

Image Super-Resolution by TV-Regularization and Bregman Iteration. - Antonio Marquina; Stanley J. Osher (J. Sci. Comput., 2008)

Level Set Based Nonlocal Surface Restoration. - Bin Dong 001; Jian Ye; Stanley J. Osher; Ivo D. Dinov (Multiscale Model. Simul., 2008)

Nonlocal Operators with Applications to Image Processing. - Guy Gilboa; Stanley J. Osher (Multiscale Model. Simul., 2008)

Shape from Defocus via Diffusion. - Paolo Favaro; Stefano Soatto; Martin Burger 001; Stanley J. Osher (IEEE Trans. Pattern Anal. Mach. Intell., 2008)

Topology Preserving Linear Filtering Applied to Medical Imaging. - Antoni Buades; Aichi Chien; Jean-Michel Morel; Stanley J. Osher (SIAM J. Imaging Sci., 2008)

A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model. - Jianing Shi; Stanley J. Osher (SIAM J. Imaging Sci., 2008)

Bregman Iterative Algorithms for ell1-Minimization with Applications to Compressed Sensing. - Wotao Yin; Stanley J. Osher; Donald Goldfarb; Jérôme Darbon (SIAM J. Imaging Sci., 2008)

A note on the Bregmanized Total Variation and dual forms. - Jérôme Darbon; Igor Ciril; Antonio Marquina; Tony F. Chan; Stanley J. Osher (ICIP, 2009)

MRI Resolution Enhancement Using Total Variation Regularization. - Shantanu H. Joshi; Antonio Marquina; Stanley J. Osher; Ivo D. Dinov; John D. Van Horn; Arthur W. Toga (ISBI, 2009)

A Novel Method for Enhanced Needle Localization Using Ultrasound-Guidance. - Bin Dong 001; Eric Savitsky; Stanley J. Osher (ISVC (1), 2009)

Edge-Enhanced Image Reconstruction Using (TV) Total Variation and Bregman Refinement. - Shantanu H. Joshi; Antonio Marquina; Stanley J. Osher; Ivo D. Dinov; John D. Van Horn; Arthur W. Toga (SSVM, 2009)

Comparing registration methods for mapping brain change using tensor-based morphometry. - Igor Yanovsky; Alex D. Leow; Suh Lee; Stanley J. Osher; Paul M. Thompson (Medical Image Anal., 2009)

Split Bregman Methods and Frame Based Image Restoration. - Jian-Feng Cai 001; Stanley J. Osher; Zuowei Shen (Multiscale Model. Simul., 2009)

Linearized Bregman iterations for compressed sensing. - Jian-Feng Cai 001; Stanley J. Osher; Zuowei Shen (Math. Comput., 2009)

Convergence of the linearized Bregman iteration for ℓ1-norm minimization. - Jian-Feng Cai 001; Stanley J. Osher; Zuowei Shen (Math. Comput., 2009)

Linearized Bregman Iterations for Frame-Based Image Deblurring. - Jian-Feng Cai 001; Stanley J. Osher; Zuowei Shen (SIAM J. Imaging Sci., 2009)

The Split Bregman Method for L1-Regularized Problems. - Tom Goldstein; Stanley J. Osher (SIAM J. Imaging Sci., 2009)

A split Bregman method for non-negative sparsity penalized least squares with applications to hyperspectral demixing. - Arthur Szlam; Zhaohui Guo; Stanley J. Osher (ICIP, 2010)

Reducing musical noise in blind source separation by time-domain sparse filters and split bregman method. - Wenye Ma; Meng Yu 003; Jack Xin; Stanley J. Osher (INTERSPEECH, 2010)

Convexity and fast speech extraction by split bregman method. - Meng Yu 003; Wenye Ma; Jack Xin; Stanley J. Osher (INTERSPEECH, 2010)

A Compressive Sensing Algorithm for Many-Core Architectures. - Alexandre Borghi; Jérôme Darbon; Sylvain Peyronnet; Tony F. Chan; Stanley J. Osher (ISVC (2), 2010)

Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation. - Yunyun Yang; Chunming Li; Chiu-Yen Kao; Stanley J. Osher (ISVC (2), 2010)

Segmentation for Hyperspectral Images with Priors. - Jian Ye; Todd Wittman; Xavier Bresson; Stanley J. Osher (ISVC (2), 2010)

A Fast Hybrid Algorithm for Large-Scale l1-Regularized Logistic Regression. - Jianing Shi; Wotao Yin; Stanley J. Osher; Paul Sajda (J. Mach. Learn. Res., 2010)

Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction. - Tom Goldstein; Xavier Bresson; Stanley J. Osher (J. Sci. Comput., 2010)

Image Recovery via Nonlocal Operators. - Yifei Lou; Xiaoqun Zhang; Stanley J. Osher; Andrea L. Bertozzi (J. Sci. Comput., 2010)

A Nonlinear PDE-Based Method for Sparse Deconvolution. - Yu Mao; Bin Dong 001; Stanley J. Osher (Multiscale Model. Simul., 2010)

Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction. - Xiaoqun Zhang; Martin Burger 001; Xavier Bresson; Stanley J. Osher (SIAM J. Imaging Sci., 2010)

A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery. - Bin Dong 001; Aichi Chien; Zuowei Shen; Stanley J. Osher (SIAM J. Sci. Comput., 2010)

Development and Optimization of Regularized Tomographic Reconstruction Algorithms Utilizing Equally-Sloped Tomography. - Yu Mao; Benjamin P. Fahimian; Stanley J. Osher; Jianwei Miao (IEEE Trans. Image Process., 2010)

An L1-based variational model for Retinex theory and its application to medical images. - Wenye Ma; Jean-Michel Morel; Stanley J. Osher; Aichi Chien (CVPR, 2011)

Adequate reconstruction of transparent objects on a shoestring budget. - Sai Kit Yeung; Tai-Pang Wu; Chi-Keung Tang; Tony F. Chan; Stanley J. Osher (CVPR, 2011)

Fast edge-filtered image upsampling. - Shantanu H. Joshi; Antonio Marquina; Stanley J. Osher; Ivo D. Dinov; Arthur W. Toga; John D. Van Horn (ICIP, 2011)

Fast Linearized Bregman Iteration for Compressive Sensing and Sparse Denoising - Stanley J. Osher; Yu Mao; Bin Dong 001; Wotao Yin (CoRR, 2011)

A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations. - Jue Yan; Stanley J. Osher (J. Comput. Phys., 2011)

A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration. - Xiaoqun Zhang; Martin Burger 001; Stanley J. Osher (J. Sci. Comput., 2011)

Make it home: automatic optimization of furniture arrangement. - Lap-Fai Yu; Sai Kit Yeung; Chi-Keung Tang; Demetri Terzopoulos; Tony F. Chan; Stanley J. Osher (ACM Trans. Graph., 2011)

Hybrid regularization for mri reconstruction with static field inhomogeneity correction. - Ryan Compton 003; Stanley J. Osher; Louis-S. Bouchard (ISBI, 2012)

Multigrid Narrow Band Surface Reconstruction via Level Set Functions. - Jian Ye; Igor Yanovsky; Bin Dong 001; Rima Gandlin; Achi Brandt; Stanley J. Osher (ISVC (1), 2012)

Optimal Data Collection for Improved Rankings Expose Well-Connected Graphs - Braxton Osting; Christoph Brune; Stanley J. Osher (CoRR, 2012)

Multi-Channel l1 Regularized Convex Speech Enhancement Model and Fast Computation by the Split Bregman Method. - Meng Yu 003; Wenye Ma; Jack Xin; Stanley J. Osher (IEEE Trans. Speech Audio Process., 2012)

Multiple Aerosol Unmixing by the Split Bregman Algorithm. - Russell E. Warren; Stanley J. Osher; Richard G. Vanderbeek (IEEE Trans. Geosci. Remote. Sens., 2012)

A Convex Model for Nonnegative Matrix Factorization and Dimensionality Reduction on Physical Space. - Ernie Esser; Michael Möller 001; Stanley J. Osher; Guillermo Sapiro; Jack Xin (IEEE Trans. Image Process., 2012)

Efficient Algorithm for Level Set Method Preserving Distance Function. - Virginia Estellers; Dominique Zosso; Rongjie Lai; Stanley J. Osher; Jean-Philippe Thiran; Xavier Bresson (IEEE Trans. Image Process., 2012)

Robust 1-bit Compressive Sensing Using Adaptive Outlier Pursuit. - Ming Yan 006; Yi Yang 010; Stanley J. Osher (IEEE Trans. Signal Process., 2012)

Mixing space-time derivatives for video compressive sensing. - Yi Yang 010; Hayden Schaeffer; Wotao Yin; Stanley J. Osher (ACSSC, 2013)

A unifying retinex model based on non-local differential operators. - Dominique Zosso; Giang Tran; Stanley J. Osher (Computational Imaging, 2013)

Enhanced statistical rankings via targeted data collection. - Braxton Osting; Christoph Brune; Stanley J. Osher (ICML (1), 2013)

Bregmanized Domain Decomposition for Image Restoration. - Andreas Langer; Stanley J. Osher; Carola-Bibiane Schönlieb (J. Sci. Comput., 2013)

Exact Low-Rank Matrix Completion from Sparsely Corrupted Entries Via Adaptive Outlier Pursuit. - Ming Yan 006; Yi Yang 010; Stanley J. Osher (J. Sci. Comput., 2013)

Error Forgetting of Bregman Iteration. - Wotao Yin; Stanley J. Osher (J. Sci. Comput., 2013)

An adaptive inverse scale space method for compressed sensing. - Martin Burger 001; Michael Möller 001; Martin Benning; Stanley J. Osher (Math. Comput., 2013)

A dual split Bregman method for fast ℓ1 minimization. - Yi Yang 010; Michael Möller 001; Stanley J. Osher (Math. Comput., 2013)

A Low Patch-Rank Interpretation of Texture. - Hayden Schaeffer; Stanley J. Osher (SIAM J. Imaging Sci., 2013)

A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures. - Alexandre Borghi; Jérôme Darbon; Sylvain Peyronnet; Tony F. Chan; Stanley J. Osher (J. Signal Process. Syst., 2013)

Optimal data collection for informative rankings expose well-connected graphs. - Braxton Osting; Christoph Brune; Stanley J. Osher (J. Mach. Learn. Res., 2014)

A Splitting Method for Orthogonality Constrained Problems. - Rongjie Lai; Stanley J. Osher (J. Sci. Comput., 2014)

On the Compressive Spectral Method. - Alan Mackey; Hayden Schaeffer; Stanley J. Osher (Multiscale Model. Simul., 2014)

2D Empirical Transforms. Wavelets, Ridgelets, and Curvelets Revisited. - Jérôme Gilles; Giang Tran; Stanley J. Osher (SIAM J. Imaging Sci., 2014)

A Dirichlet Energy Criterion for Graph-Based Image Segmentation. - Dominique Zosso; Braxton Osting; Stanley J. Osher (ICDM Workshops, 2015)

Vectorial non-local total variation regularization for calibration-free parallel MRI reconstruction. - Stamatios Lefkimmiatis; Andres Saucedo; Stanley J. Osher; Kyunghyun Sung (ISBI, 2015)

Computational Aspects of Constrained L 1-L 2 Minimization for Compressive Sensing. - Yifei Lou; Stanley J. Osher; Jack Xin (MCO (1), 2015)

A time continuation based fast approximate algorithm for compressed sensing related optimization. - Farzin Barekat; Stanley J. Osher (Math. Comput., 2015)

Normal Estimation of a Transparent Object Using a Video. - Sai Kit Yeung; Tai-Pang Wu; Chi-Keung Tang; Tony F. Chan; Stanley J. Osher (IEEE Trans. Pattern Anal. Mach. Intell., 2015)

An L1 Penalty Method for General Obstacle Problems. - Giang Tran; Hayden Schaeffer; William M. Feldman; Stanley J. Osher (SIAM J. Appl. Math., 2015)

A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing. - Yifei Lou; Tieyong Zeng; Stanley J. Osher; Jack Xin (SIAM J. Imaging Sci., 2015)

Space-Time Regularization for Video Decompression. - Hayden Schaeffer; Yi Yang 010; Stanley J. Osher (SIAM J. Imaging Sci., 2015)

Non-Local Retinex - A Unifying Framework and Beyond. - Dominique Zosso; Giang Tran; Stanley J. Osher (SIAM J. Imaging Sci., 2015)

Real-Time Adaptive Video Compression. - Hayden Schaeffer; Yi Yang 010; Hongkai Zhao; Stanley J. Osher (SIAM J. Sci. Comput., 2015)

Nonlocal Structure Tensor Functionals for Image Regularization. - Stamatios Lefkimmiatis; Stanley J. Osher (IEEE Trans. Computational Imaging, 2015)

Graph fractional-order total variation EEG source reconstruction. - Ying Li 009; Jing Qin 003; Stanley J. Osher; Wentai Liu (EMBC, 2016)

A Harmonic Extension Approach for Collaborative Ranking. - Da Kuang; Zuoqiang Shi; Stanley J. Osher; Andrea L. Bertozzi (CoRR, 2016)

Low dimensional manifold model in hyperspectral image reconstruction. - Zuoqiang Shi; Wei Zhu 007; Stanley J. Osher (CoRR, 2016)

Wavelet burst accumulation for turbulence mitigation. - Jérôme Gilles; Stanley J. Osher (J. Electronic Imaging, 2016)

A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-Norm Fidelity. - Fang Li 004; Stanley J. Osher; Jing Qin 003; Ming Yan 006 (J. Sci. Comput., 2016)

Partial differential equations for training deep neural networks. - Pratik Chaudhari; Adam M. Oberman; Stanley J. Osher; Stefano Soatto; Guillaume Carlier (ACSSC, 2017)

Pre-processing and classification of hyperspectral imagery via selective inpainting. - Victoria Chayes; Kevin Miller; Rasika Bhalerao; Jiajie Luo; Wei Zhu 007; Andrea L. Bertozzi; Wenzhi Liao; Stanley J. Osher (ICASSP, 2017)

Accelerated high-resolution EEG source imaging. - Jing Qin 003; Tianyu Wu; Ying Li 009; Wotao Yin; Stanley J. Osher; Wentai Liu (NER, 2017)

Deep Relaxation: partial differential equations for optimizing deep neural networks. - Pratik Chaudhari; Adam M. Oberman; Stanley J. Osher; Stefano Soatto; Guillaume Carlier (CoRR, 2017)

Deep Learning for Real-Time Crime Forecasting and its Ternarization. - Bao Wang 001; Penghang Yin; Andrea L. Bertozzi; P. Jeffrey Brantingham; Stanley J. Osher; Jack Xin (CoRR, 2017)

Revisiting the redistancing problem using the Hopf-Lax formula. - Byungjoon Lee 001; Jérôme Darbon; Stanley J. Osher; Myungjoo Kang (J. Comput. Phys., 2017)

Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton-Jacobi Equations Arising From Optimal Control and Differential Games Problems. - Yat Tin Chow; Jérôme Darbon; Stanley J. Osher; Wotao Yin (J. Sci. Comput., 2017)

Weighted Nonlocal Laplacian on Interpolation from Sparse Data. - Zuoqiang Shi; Stanley J. Osher; Wei Zhu 007 (J. Sci. Comput., 2017)

An Efficient Primal-Dual Method for the Obstacle Problem. - Dominique Zosso; Braxton Osting; Mandy (Mengqi) Xia; Stanley J. Osher (J. Sci. Comput., 2017)

Low Dimensional Manifold Model for Image Processing. - Stanley J. Osher; Zuoqiang Shi; Wei Zhu 007 (SIAM J. Imaging Sci., 2017)

On the Support of Compressed Modes. - Farzin Barekat; Russel Caflisch; Stanley J. Osher (SIAM J. Math. Anal., 2017)

Unsupervised Classification in Hyperspectral Imagery With Nonlocal Total Variation and Primal-Dual Hybrid Gradient Algorithm. - Wei Zhu 007; Victoria Chayes; Alexandre Tiard; Stephanie Sánchez; Devin Dahlberg; Andrea L. Bertozzi; Stanley J. Osher; Dominique Zosso; Da Kuang (IEEE Trans. Geosci. Remote. Sens., 2017)

A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems. - Matthew R. Kirchner; Gary A. Hewer; Jérôme Darbon; Stanley J. Osher (CCTA, 2018)

Deep Neural Nets with Interpolating Function as Output Activation. - Bao Wang 001; Xiyang Luo; Zhen Li 029; Wei Zhu 007; Zuoqiang Shi; Stanley J. Osher (NeurIPS, 2018)

Scalable Low Dimensional Manifold Model In The Reconstruction Of Noisy And Incomplete Hyperspectral Images. - Wei Zhu 007; Zuoqiang Shi; Stanley J. Osher (WHISPERS, 2018)

Deep Learning with Data Dependent Implicit Activation Function. - Bao Wang 001; Xiyang Luo; Zhen Li 029; Wei Zhu 007; Zuoqiang Shi; Stanley J. Osher (CoRR, 2018)

Laplacian Smoothing Gradient Descent. - Stanley J. Osher; Bao Wang 001; Penghang Yin; Xiyang Luo; Minh Pham 003; Alex Tong Lin (CoRR, 2018)

Blended Coarse Gradient Descent for Full Quantization of Deep Neural Networks. - Penghang Yin; Shuai Zhang 009; Jiancheng Lyu; Stanley J. Osher; Yingyong Qi; Jack Xin (CoRR, 2018)

Adversarial Defense via Data Dependent Activation Function and Total Variation Minimization. - Bao Wang 001; Alex Tong Lin; Zuoqiang Shi; Wei Zhu 007; Penghang Yin; Andrea L. Bertozzi; Stanley J. Osher (CoRR, 2018)

Mathematical Analysis of Adversarial Attacks. - Zehao Dou; Stanley J. Osher; Bao Wang 001 (CoRR, 2018)

EnResNet: ResNet Ensemble via the Feynman-Kac Formalism. - Bao Wang 001; Binjie Yuan; Zuoqiang Shi; Stanley J. Osher (CoRR, 2018)

Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula. - Matthew R. Kirchner; Robert T. Mar; Gary A. Hewer; Jérôme Darbon; Stanley J. Osher; Yat Tin Chow (IEEE Control. Syst. Lett., 2018)

A review of level-set methods and some recent applications. - Frédéric Gibou; Ronald Fedkiw; Stanley J. Osher (J. Comput. Phys., 2018)

Parallel redistancing using the Hopf-Lax formula. - Michael Royston; Andre Pradhana; Byungjoon Lee 001; Yat Tin Chow; Wotao Yin; Joseph Teran; Stanley J. Osher (J. Comput. Phys., 2018)

Scientific data interpolation with low dimensional manifold model. - Wei Zhu 007; Bao Wang 001; Richard C. Barnard; Cory D. Hauck; Frank Jenko; Stanley J. Osher (J. Comput. Phys., 2018)

A Parallel Method for Earth Mover's Distance. - Wuchen Li; Ernest K. Ryu; Stanley J. Osher; Wotao Yin; Wilfrid Gangbo (J. Sci. Comput., 2018)

Computations of Optimal Transport Distance with Fisher Information Regularization. - Wuchen Li; Penghang Yin; Stanley J. Osher (J. Sci. Comput., 2018)

Unbalanced and Partial L1 Monge-Kantorovich Problem: A Scalable Parallel First-Order Method. - Ernest K. Ryu; Wuchen Li; Penghang Yin; Stanley J. Osher (J. Sci. Comput., 2018)

Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model. - Zuoqiang Shi; Stanley J. Osher; Wei Zhu 007 (J. Sci. Comput., 2018)

Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for k-Means Clustering. - Penghang Yin; Minh Pham 003; Adam M. Oberman; Stanley J. Osher (J. Sci. Comput., 2018)

BinaryRelax: A Relaxation Approach for Training Deep Neural Networks with Quantized Weights. - Penghang Yin; Shuai Zhang 009; Jiancheng Lyu; Stanley J. Osher; Yingyong Qi; Jack Xin (SIAM J. Imaging Sci., 2018)

Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications. - Ernest K. Ryu; Yongxin Chen; Wuchen Li; Stanley J. Osher (SIAM J. Sci. Comput., 2018)

Understanding Straight-Through Estimator in Training Activation Quantized Neural Nets. - Penghang Yin; Jiancheng Lyu; Shuai Zhang 009; Stanley J. Osher; Yingyong Qi; Jack Xin (ICLR (Poster), 2019)

ResNets Ensemble via the Feynman-Kac Formalism to Improve Natural and Robust Accuracies. - Bao Wang 001; Zuoqiang Shi; Stanley J. Osher (NeurIPS, 2019)

A Deterministic Approach to Avoid Saddle Points. - Lisa Maria Kreusser; Stanley J. Osher; Bao Wang 001 (CoRR, 2019)

CESMA: Centralized Expert Supervises Multi-Agents. - Alex Tong Lin; Mark J. Debord; Katia Estabridis; Gary A. Hewer; Stanley J. Osher (CoRR, 2019)

DP-LSSGD: A Stochastic Optimization Method to Lift the Utility in Privacy-Preserving ERM. - Bao Wang 001; Quanquan Gu; March Boedihardjo; Farzin Barekat; Stanley J. Osher (CoRR, 2019)

Graph Interpolating Activation Improves Both Natural and Robust Accuracies in Data-Efficient Deep Learning. - Bao Wang 001; Stanley J. Osher (CoRR, 2019)

A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems. - Lars Ruthotto; Stanley J. Osher; Wuchen Li; Levon Nurbekyan; Samy Wu Fung (CoRR, 2019)

Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations. - Yat Tin Chow; Jérôme Darbon; Stanley J. Osher; Wotao Yin (J. Comput. Phys., 2019)

Unnormalized optimal transport. - Wilfrid Gangbo; Wuchen Li; Stanley J. Osher; Michael A. Puthawala (J. Comput. Phys., 2019)

Algorithm for Hamilton-Jacobi Equations in Density Space Via a Generalized Hopf Formula. - Yat Tin Chow; Wuchen Li; Stanley J. Osher; Wotao Yin (J. Sci. Comput., 2019)

Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising. - Jun Liu 029; Stanley J. Osher (J. Sci. Comput., 2019)

Diagnosing Forward Operator Error Using Optimal Transport. - Michael A. Puthawala; Cory D. Hauck; Stanley J. Osher (J. Sci. Comput., 2019)

Modeling Environmental Crime in Protected Areas Using the Level Set Method. - David J. Arnold; Dayne Fernandez; Ruizhe Jia; Christian Parkinson; Deborah Tonne; Yotam Yaniv; Andrea L. Bertozzi; Stanley J. Osher (SIAM J. Appl. Math., 2019)

Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size. - Matt Jacobs; Flavien Léger; Wuchen Li; Stanley J. Osher (SIAM J. Numer. Anal., 2019)

Hyperspectral Anomaly Detection via Global and Local Joint Modeling of Background. - Zebin Wu 001; Wei Zhu 007; Jocelyn Chanussot; Yang Xu 006; Stanley J. Osher (IEEE Trans. Signal Process., 2019)

A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles. - Christian Parkinson; Andrea L. Bertozzi; Stanley J. Osher (CDC, 2020)

Energy-efficient Velocity Control for Massive Numbers of Rotary-Wing UAVs: A Mean Field Game Approach. - Hao Gao 008; Wonjun Lee 004; Wuchen Li; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (GLOBECOM, 2020)

Sparsity Meets Robustness: Channel Pruning for the Feynman-Kac Formalism Principled Robust Deep Neural Nets. - Thu Dinh; Bao Wang 001; Andrea L. Bertozzi; Stanley J. Osher; Jack Xin (LOD (2), 2020)

DP-LSSGD: A Stochastic Optimization Method to Lift the Utility in Privacy-Preserving ERM. - Bao Wang 001; Quanquan Gu; March Boedihardjo; Lingxiao Wang 001; Farzin Barekat; Stanley J. Osher (MSML, 2020)

MomentumRNN: Integrating Momentum into Recurrent Neural Networks. - Tan M. Nguyen; Richard G. Baraniuk; Andrea L. Bertozzi; Stanley J. Osher; Bao Wang 001 (NeurIPS, 2020)

APAC-Net: Alternating the Population and Agent Control via Two Neural Networks to Solve High-Dimensional Stochastic Mean Field Games. - Alex Tong Lin; Samy Wu Fung; Wuchen Li; Levon Nurbekyan; Stanley J. Osher (CoRR, 2020)

Scheduled Restart Momentum for Accelerated Stochastic Gradient Descent. - Bao Wang 001; Tan M. Nguyen; Andrea L. Bertozzi; Richard G. Baraniuk; Stanley J. Osher (CoRR, 2020)

Sparsity Meets Robustness: Channel Pruning for the Feynman-Kac Formalism Principled Robust Deep Neural Nets. - Thu Dinh; Bao Wang 001; Andrea L. Bertozzi; Stanley J. Osher (CoRR, 2020)

Exploring Private Federated Learning with Laplacian Smoothing. - Zhicong Liang; Bao Wang 001; Quanquan Gu; Stanley J. Osher; Yuan Yao (CoRR, 2020)

Projecting to Manifolds via Unsupervised Learning. - Howard Heaton; Samy Wu Fung; Alex Tong Lin; Stanley J. Osher; Wotao Yin (CoRR, 2020)

A Model for Optimal Human Navigation with Stochastic Effects. - Christian Parkinson; David Arnold 005; Andrea L. Bertozzi; Stanley J. Osher (SIAM J. Appl. Math., 2020)

EnResNet: ResNets Ensemble via the Feynman-Kac Formalism for Adversarial Defense and Beyond. - Bao Wang 001; Binjie Yuan; Zuoqiang Shi; Stanley J. Osher (SIAM J. Math. Data Sci., 2020)

A Neural Network Approach Applied to Multi-Agent Optimal Control. - Derek Onken; Levon Nurbekyan; Xingjian Li 005; Samy Wu Fung; Stanley J. Osher; Lars Ruthotto (ECC, 2021)

Wasserstein Proximal of GANs. - Alex Tong Lin; Wuchen Li; Stanley J. Osher; Guido Montúfar (GSI, 2021)

Belief and Opinion Evolution in Social Networks: A High-Dimensional Mean Field Game Approach. - Hao Gao 008; Alex Tong Lin; Reginald A. Banez; Wuchen Li; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (ICC, 2021)

Task Selection and Route Planning for Mobile Crowd Sensing Using Multi-Population Mean-Field Games. - Yuhan Kang; Siting Liu 003; Hongliang Zhang 001; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (ICC, 2021)

Decentralized Multi-Agents by Imitation of a Centralized Controller. - Alex Tong Lin; Mark J. Debord; Katia Estabridis; Gary A. Hewer; Guido Montúfar; Stanley J. Osher (MSML, 2021)

FMMformer: Efficient and Flexible Transformer via Decomposed Near-field and Far-field Attention. - Tan M. Nguyen; Vai Suliafu; Stanley J. Osher; Long Chen; Bao Wang 001 (NeurIPS, 2021)

Heavy Ball Neural Ordinary Differential Equations. - Hedi Xia; Vai Suliafu; Hangjie Ji; Tan M. Nguyen; Andrea L. Bertozzi; Stanley J. Osher; Bao Wang 001 (NeurIPS, 2021)

Fixed Point Networks: Implicit Depth Models with Jacobian-Free Backprop. - Samy Wu Fung; Howard Heaton; Qiuwei Li; Daniel McKenzie; Stanley J. Osher; Wotao Yin (CoRR, 2021)

Learn to Predict Equilibria via Fixed Point Networks. - Howard Heaton; Daniel McKenzie; Qiuwei Li; Samy Wu Fung; Stanley J. Osher; Wotao Yin (CoRR, 2021)

How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies. - Bao Wang 001; Hedi Xia; Tan M. Nguyen; Stanley J. Osher (CoRR, 2021)

Transformer with a Mixture of Gaussian Keys. - Tam Nguyen; Tan M. Nguyen; Dung Le; Khuong Nguyen; Anh Tran; Richard G. Baraniuk; Nhat Ho; Stanley J. Osher (CoRR, 2021)

Joint Sensing Task Assignment and Collision-Free Trajectory Optimization for Mobile Vehicle Networks Using Mean-Field Games. - Yuhan Kang; Siting Liu 003; Hongliang Zhang 001; Wuchen Li; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (IEEE Internet Things J., 2021)

Generalized unnormalized optimal transport and its fast algorithms. - Wonjun Lee 004; Rongjie Lai; Wuchen Li; Stanley J. Osher (J. Comput. Phys., 2021)

Controlling Propagation of Epidemics via Mean-Field Control. - Wonjun Lee 004; Siting Liu 003; Hamidou Tembine; Wuchen Li; Stanley J. Osher (SIAM J. Appl. Math., 2021)

Computational Methods for First-Order Nonlocal Mean Field Games with Applications. - Siting Liu 003; Matthew Jacobs; Wuchen Li; Levon Nurbekyan; Stanley J. Osher (SIAM J. Numer. Anal., 2021)

Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo. - Bao Wang 001; Difan Zou; Quanquan Gu; Stanley J. Osher (SIAM J. Sci. Comput., 2021)

Task Selection and Collision-Free Route Planning for Mobile Crowdsensing Using Multi-Population Mean-Field Games. - Yuhan Kang; Siting Liu 003; Hongliang Zhang 001; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (IEEE Trans. Green Commun. Netw., 2021)

JFB: Jacobian-Free Backpropagation for Implicit Networks. - Samy Wu Fung; Howard Heaton; Qiuwei Li; Daniel McKenzie; Stanley J. Osher; Wotao Yin (AAAI, 2022)

GRAND++: Graph Neural Diffusion with A Source Term. - Matthew Thorpe; Tan Minh Nguyen; Hedi Xia; Thomas Strohmer; Andrea L. Bertozzi; Stanley J. Osher; Bao Wang 001 (ICLR, 2022)

Improving Transformers with Probabilistic Attention Keys. - Tam Minh Nguyen; Tan Minh Nguyen; Dung D. D. Le; Duy Khuong Nguyen; Viet-Anh Tran; Richard G. Baraniuk; Nhat Ho; Stanley J. Osher (ICML, 2022)

Momentum Transformer: Closing the Performance Gap Between Self-attention and Its Linearization. - Tan Minh Nguyen; Richard G. Baraniuk; Robert M. Kirby; Stanley J. Osher; Bao Wang 001 (MSML, 2022)

FourierFormer: Transformer Meets Generalized Fourier Integral Theorem. - Tan Nguyen; Minh Pham 003; Tam Nguyen; Khai Nguyen; Stanley J. Osher; Nhat Ho (NeurIPS, 2022)

Improving Transformer with an Admixture of Attention Heads. - Tan Nguyen; Tam Nguyen; Hai Do; Khai Nguyen; Vishwanath Saragadam; Minh Pham 003; Duy Khuong Nguyen; Nhat Ho; Stanley J. Osher (NeurIPS, 2022)

Improving Neural Ordinary Differential Equations with Nesterov's Accelerated Gradient Method. - Ho Huu Nghia Nguyen; Tan Nguyen; Huyen Vo; Stanley J. Osher; Thieu Vo (NeurIPS, 2022)

Parameter Inference of Time Series by Delay Embeddings and Learning Differentiable Operators. - Alex Tong Lin; Daniel Eckhardt; Robert Scott Martin; Stanley J. Osher; Adrian S. Wong (CoRR, 2022)

A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem. - Yat Tin Chow; Samy Wu Fung; Siting Liu 003; Levon Nurbekyan; Stanley J. Osher (CoRR, 2022)

Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs. - Justin M. Baker; Hedi Xia; Yiwei Wang; Elena Cherkaev; Akil Narayan 001; Long Chen; Jack Xin; Andrea L. Bertozzi; Stanley J. Osher; Bao Wang 001 (CoRR, 2022)

Transformer with Fourier Integral Attentions. - Tan M. Nguyen; Minh Pham 003; Tam Nguyen; Khai Nguyen; Stanley J. Osher; Nhat Ho (CoRR, 2022)

Multi-Agent Shape Control with Optimal Transport. - Alex Tong Lin; Stanley J. Osher (CoRR, 2022)

Improving Generative Flow Networks with Path Regularization. - Anh Do; Duy Dinh; Tan M. Nguyen; Khuong Nguyen; Stanley J. Osher; Nhat Ho (CoRR, 2022)

Taming Hyperparameter Tuning in Continuous Normalizing Flows Using the JKO Scheme. - Alexander Vidal; Samy Wu Fung; Luis Tenorio; Stanley J. Osher; Levon Nurbekyan (CoRR, 2022)

Neural ODE Control for Trajectory Approximation of Continuity Equation. - Karthik Elamvazhuthi; Bahman Gharesifard; Andrea L. Bertozzi; Stanley J. Osher (IEEE Control. Syst. Lett., 2022)

Controlling conservation laws II: Compressible Navier-Stokes equations. - Wuchen Li; Siting Liu 003; Stanley J. Osher (J. Comput. Phys., 2022)

Computational mean-field information dynamics associated with reaction-diffusion equations. - Wuchen Li; Wonjun Lee 004; Stanley J. Osher (J. Comput. Phys., 2022)

A Mean Field Game Inverse Problem. - Lisang Ding; Wuchen Li; Stanley J. Osher; Wotao Yin (J. Sci. Comput., 2022)

Scheduled Restart Momentum for Accelerated Stochastic Gradient Descent. - Bao Wang 001; Tan M. Nguyen; Tao Sun 005; Andrea L. Bertozzi; Richard G. Baraniuk; Stanley J. Osher (SIAM J. Imaging Sci., 2022)

Wasserstein-Based Projections with Applications to Inverse Problems. - Howard Heaton; Samy Wu Fung; Alex Tong Lin; Stanley J. Osher; Wotao Yin (SIAM J. Math. Data Sci., 2022)

Opinion Evolution in Social Networks: Connecting Mean Field Games to Generative Adversarial Nets. - Hao Gao 008; Alex Tong Lin; Reginald A. Banez; Wuchen Li; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (IEEE Trans. Netw. Sci. Eng., 2022)

Energy-Efficient Velocity Control for Massive Numbers of UAVs: A Mean Field Game Approach. - Hao Gao 008; Wonjun Lee 004; Yuhan Kang; Wuchen Li; Zhu Han 001; Stanley J. Osher; H. Vincent Poor (IEEE Trans. Veh. Technol., 2022)

A Probabilistic Framework for Pruning Transformers Via a Finite Admixture of Keys. - Tan M. Nguyen; Tam Nguyen; Long Bui; Hai Do; Duy Khuong Nguyen; Dung D. Le; Hung Tran-The; Nhat Ho; Stanley J. Osher; Richard G. Baraniuk (ICASSP, 2023)

A Primal-Dual Framework for Transformers and Neural Networks. - Tan Minh Nguyen; Tam Minh Nguyen; Nhat Ho; Andrea L. Bertozzi; Richard G. Baraniuk; Stanley J. Osher (ICLR, 2023)

Neural Collapse in Deep Linear Networks: From Balanced to Imbalanced Data. - Hien Dang 003; Tho Tran Huu; Stanley J. Osher; Hung Tran-The; Nhat Ho; Tan Minh Nguyen (ICML, 2023)

Revisiting Over-smoothing and Over-squashing Using Ollivier-Ricci Curvature. - Khang Nguyen 002; Nong Minh Hieu; Vinh Duc Nguyen; Nhat Ho; Stanley J. Osher; Tan Minh Nguyen (ICML, 2023)

A kernel formula for regularized Wasserstein proximal operators. - Wuchen Li; Siting Liu 003; Stanley J. Osher (CoRR, 2023)

High order computation of optimal transport, mean field planning, and mean field games. - Guosheng Fu; Siting Liu 003; Stanley J. Osher; Wuchen Li (CoRR, 2023)

In-Context Operator Learning for Differential Equation Problems. - Liu Yang; Siting Liu 003; Tingwei Meng; Stanley J. Osher (CoRR, 2023)

Prompting In-Context Operator Learning with Sensor Data, Equations, and Natural Language. - Liu Yang; Tingwei Meng; Siting Liu 003; Stanley J. Osher (CoRR, 2023)

Noise-Free Sampling Algorithms via Regularized Wasserstein Proximals. - Hong Ye Tan; Stanley J. Osher; Wuchen Li (CoRR, 2023)

Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations. - Tingwei Meng; Wenbo Hao; Siting Liu 003; Stanley J. Osher; Wuchen Li (CoRR, 2023)

A primal-dual approach for solving conservation laws with implicit in time approximations. - Siting Liu 003; Stanley J. Osher; Wuchen Li; Chi-Wang Shu (J. Comput. Phys., 2023)

A Neural Network Approach for High-Dimensional Optimal Control Applied to Multiagent Path Finding. - Derek Onken; Levon Nurbekyan; Xingjian Li 005; Samy Wu Fung; Stanley J. Osher; Lars Ruthotto (IEEE Trans. Control. Syst. Technol., 2023)

Controlling conservation laws I: Entropy-entropy flux. - Wuchen Li; Siting Liu 003; Stanley J. Osher (J. Comput. Phys., 2023)

A fast proximal gradient method and convergence analysis for dynamic mean field planning. - Jiajia Yu; Rongjie Lai; Wuchen Li; Stanley J. Osher (Math. Comput., 2023)

Computational mean-field games on manifolds. - Jiajia Yu; Rongjie Lai; Wuchen Li; Stanley J. Osher (J. Comput. Phys., 2023)

High order computation of optimal transport, mean field planning, and potential mean field games. - Guosheng Fu; Siting Liu 003; Stanley J. Osher; Wuchen Li (J. Comput. Phys., 2023)

High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems. - Guosheng Fu; Stanley J. Osher; Wuchen Li (J. Comput. Phys., 2023)

Numerical analysis of a first-order computational algorithm for reaction-diffusion equations via the primal-dual hybrid gradient method. - Shu Liu; Xinzhe Zuo; Stanley J. Osher; Wuchen Li (CoRR, 2024)

Wasserstein proximal operators describe score-based generative models and resolve memorization. - Benjamin J. Zhang; Siting Liu 003; Wuchen Li; Markos A. Katsoulakis; Stanley J. Osher (CoRR, 2024)

Numerical Analysis on Neural Network Projected Schemes for Approximating One Dimensional Wasserstein Gradient Flows. - Xinzhe Zuo; Jiaxi Zhao; Shu Liu; Stanley J. Osher; Wuchen Li (CoRR, 2024)

A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs. - Tingwei Meng; Siting Liu 003; Wuchen Li; Stanley J. Osher (CoRR, 2024)

A Primal-Dual Framework for Transformers and Neural Networks. - Tan M. Nguyen; Tam Nguyen; Nhat Ho; Andrea L. Bertozzi; Richard G. Baraniuk; Stanley J. Osher (CoRR, 2024)

Fast Partial Fourier Transforms for Large-Scale Ptychography. - Ricardo Parada; Samy Wu Fung; Stanley J. Osher (CoRR, 2024)

Convergence of Noise-Free Sampling Algorithms with Regularized Wasserstein Proximals. - Fuqun Han; Stanley J. Osher; Wuchen Li (CoRR, 2024)

Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems. - Mo Zhou; Stanley J. Osher; Wuchen Li (CoRR, 2024)

Gradient-adjusted underdamped Langevin dynamics for sampling. - Xinzhe Zuo; Stanley J. Osher; Wuchen Li (CoRR, 2024)

Bregman implementation of Meyer's G-norm for cartoon + textures decomposition. - Jérôme Gilles; Stanley J. Osher (CoRR, 2024)

Fried deconvolution. - Jérôme Gilles; Stanley J. Osher (CoRR, 2024)

A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations. - Shu Liu; Stanley J. Osher; Wuchen Li (CoRR, 2024)

VICON: Vision In-Context Operator Networks for Multi-Physics Fluid Dynamics Prediction. - Yadi Cao; Yuxuan Liu; Liu Yang; Rose Yu; Hayden Schaeffer; Stanley J. Osher (CoRR, 2024)

Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation. - Guosheng Fu; Stanley J. Osher; Will Pazner; Wuchen Li (J. Comput. Phys., 2024)

PDE generalization of in-context operator networks: A study on 1D scalar nonlinear conservation laws. - Liu Yang; Stanley J. Osher (J. Comput. Phys., 2024)

Three-Operator Splitting for Learning to Predict Equilibria in Convex Games. - Daniel McKenzie; Howard Heaton; Qiuwei Li; Samy Wu Fung; Stanley J. Osher; Wotao Yin (SIAM J. Math. Data Sci., 2024)

Low-Light Phase Retrieval With Implicit Generative Priors. - Raunak Manekar; Elisa Negrini; Minh Pham 003; Daniel Jacobs; Jaideep Srivastava; Stanley J. Osher; Jianwei Miao (IEEE Trans. Image Process., 2024)

A first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient method. - Shu Liu; Siting Liu 003; Stanley J. Osher; Wuchen Li (J. Comput. Phys., 2024)

Game Theory Meets Data Augmentation. - Yuhan Kang; Samira Zare; Alex Tong Lin; Zhu Han 001; Stanley J. Osher; Hien Van Nguyen (IEEE Trans. Artif. Intell., 2024)

Kernel Expansions for High-Dimensional Mean-Field Control with Non-local Interactions. - Alexander Vidal; Samy Wu Fung; Stanley J. Osher; Luis Tenorio; Levon Nurbekyan (ACC, 2025)

Efficient computation of mean field control based barycenters from reaction-diffusion systems. - Arjun Vijaywargiya; Guosheng Fu; Stanley J. Osher; Wuchen Li (J. Comput. Phys., 2025)

Tensor Train Based Sampling Algorithms for Approximating Regularized Wasserstein Proximal Operators. - Fuqun Han; Stanley J. Osher; Wuchen Li (SIAM/ASA J. Uncertain. Quantification, 2025)

Fine-tune language models as multi-modal differential equation solvers. - Liu Yang; Siting Liu 003; Stanley J. Osher (Neural Networks, 2025)

In-Context Operator Learning for Linear Propagator Models. - Tingwei Meng; Moritz Voß; Nils Detering; Giulio Farolfi; Stanley J. Osher; Georg Menz (CoRR, 2025)

OT-Transformer: A Continuous-time Transformer Architecture with Optimal Transport Regularization. - Kelvin Kan; Xingjian Li 005; Stanley J. Osher (CoRR, 2025)

Neural Implicit Solution Formula for Efficiently Solving Hamilton-Jacobi Equations. - Yesom Park; Stanley J. Osher (CoRR, 2025)

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions. - Elisa Negrini; Yuxuan Liu; Liu Yang; Stanley J. Osher; Hayden Schaeffer (CoRR, 2025)

Recent Advances in Numerical Solutions for Hamilton-Jacobi PDEs. - Tingwei Meng; Siting Liu 003; Samy Wu Fung; Stanley J. Osher (CoRR, 2025)

Optimal Control for Transformer Architectures: Enhancing Generalization, Robustness and Efficiency. - Kelvin Kan; Xingjian Li 005; Benjamin J. Zhang; Tuhin Sahai; Stanley J. Osher; Markos A. Katsoulakis (CoRR, 2025)

Thinking Out of the Box: Hybrid SAT Solving by Unconstrained Continuous Optimization. - Zhiwei Zhang 001; Samy Wu Fung; Anastasios Kyrillidis; Stanley J. Osher; Moshe Y. Vardi (CoRR, 2025)