Stanley J. Osher

Orcid: 0000-0002-7900-4658

Affiliations:
  • University of California at Los Angeles, Department of Mathematics, USA


According to our database1, Stanley J. Osher authored at least 272 papers between 1991 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient method.
J. Comput. Phys., March, 2024

Low-Light Phase Retrieval With Implicit Generative Priors.
IEEE Trans. Image Process., 2024

PDE generalization of in-context operator networks: A study on 1D scalar nonlinear conservation laws.
J. Comput. Phys., 2024

Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation.
J. Comput. Phys., 2024

Bregman implementation of Meyer's <i>G</i>-norm for cartoon + textures decomposition.
CoRR, 2024

Gradient-adjusted underdamped Langevin dynamics for sampling.
CoRR, 2024

Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems.
CoRR, 2024

Convergence of Noise-Free Sampling Algorithms with Regularized Wasserstein Proximals.
CoRR, 2024

Fast Partial Fourier Transforms for Large-Scale Ptychography.
CoRR, 2024

A Primal-Dual Framework for Transformers and Neural Networks.
CoRR, 2024

A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs.
CoRR, 2024

Numerical Analysis on Neural Network Projected Schemes for Approximating One Dimensional Wasserstein Gradient Flows.
CoRR, 2024

Wasserstein proximal operators describe score-based generative models and resolve memorization.
CoRR, 2024

Numerical analysis of a first-order computational algorithm for reaction-diffusion equations via the primal-dual hybrid gradient method.
CoRR, 2024

Tensor train based sampling algorithms for approximating regularized Wasserstein proximal operators.
CoRR, 2024

2023
High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems.
J. Comput. Phys., October, 2023

High order computation of optimal transport, mean field planning, and potential mean field games.
J. Comput. Phys., October, 2023

Computational mean-field games on manifolds.
J. Comput. Phys., July, 2023

A fast proximal gradient method and convergence analysis for dynamic mean field planning.
Math. Comput., June, 2023

Controlling conservation laws I: Entropy-entropy flux.
J. Comput. Phys., May, 2023

A Neural Network Approach for High-Dimensional Optimal Control Applied to Multiagent Path Finding.
IEEE Trans. Control. Syst. Technol., 2023

A primal-dual approach for solving conservation laws with implicit in time approximations.
J. Comput. Phys., 2023

Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations.
CoRR, 2023

Noise-Free Sampling Algorithms via Regularized Wasserstein Proximals.
CoRR, 2023

Prompting In-Context Operator Learning with Sensor Data, Equations, and Natural Language.
CoRR, 2023

In-Context Operator Learning for Differential Equation Problems.
CoRR, 2023

High order computation of optimal transport, mean field planning, and mean field games.
CoRR, 2023

A kernel formula for regularized Wasserstein proximal operators.
CoRR, 2023

Revisiting Over-smoothing and Over-squashing Using Ollivier-Ricci Curvature.
Proceedings of the International Conference on Machine Learning, 2023

Neural Collapse in Deep Linear Networks: From Balanced to Imbalanced Data.
Proceedings of the International Conference on Machine Learning, 2023

A Primal-Dual Framework for Transformers and Neural Networks.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

A Probabilistic Framework for Pruning Transformers Via a Finite Admixture of Keys.
Proceedings of the IEEE International Conference on Acoustics, 2023

2022
Energy-Efficient Velocity Control for Massive Numbers of UAVs: A Mean Field Game Approach.
IEEE Trans. Veh. Technol., 2022

Opinion Evolution in Social Networks: Connecting Mean Field Games to Generative Adversarial Nets.
IEEE Trans. Netw. Sci. Eng., 2022

Wasserstein-Based Projections with Applications to Inverse Problems.
SIAM J. Math. Data Sci., 2022

Scheduled Restart Momentum for Accelerated Stochastic Gradient Descent.
SIAM J. Imaging Sci., 2022

A Mean Field Game Inverse Problem.
J. Sci. Comput., 2022

Computational mean-field information dynamics associated with reaction-diffusion equations.
J. Comput. Phys., 2022

Controlling conservation laws II: Compressible Navier-Stokes equations.
J. Comput. Phys., 2022

Neural ODE Control for Trajectory Approximation of Continuity Equation.
IEEE Control. Syst. Lett., 2022

Taming Hyperparameter Tuning in Continuous Normalizing Flows Using the JKO Scheme.
CoRR, 2022

Improving Generative Flow Networks with Path Regularization.
CoRR, 2022

Multi-Agent Shape Control with Optimal Transport.
CoRR, 2022

Transformer with Fourier Integral Attentions.
CoRR, 2022

Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs.
CoRR, 2022

A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem.
CoRR, 2022

Parameter Inference of Time Series by Delay Embeddings and Learning Differentiable Operators.
CoRR, 2022

Improving Neural Ordinary Differential Equations with Nesterov's Accelerated Gradient Method.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Improving Transformer with an Admixture of Attention Heads.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

FourierFormer: Transformer Meets Generalized Fourier Integral Theorem.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Momentum Transformer: Closing the Performance Gap Between Self-attention and Its Linearization.
Proceedings of the Mathematical and Scientific Machine Learning, 2022

Improving Transformers with Probabilistic Attention Keys.
Proceedings of the International Conference on Machine Learning, 2022

GRAND++: Graph Neural Diffusion with A Source Term.
Proceedings of the Tenth International Conference on Learning Representations, 2022

JFB: Jacobian-Free Backpropagation for Implicit Networks.
Proceedings of the Thirty-Sixth AAAI Conference on Artificial Intelligence, 2022

2021
Task Selection and Collision-Free Route Planning for Mobile Crowdsensing Using Multi-Population Mean-Field Games.
IEEE Trans. Green Commun. Netw., 2021

Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo.
SIAM J. Sci. Comput., 2021

Computational Methods for First-Order Nonlocal Mean Field Games with Applications.
SIAM J. Numer. Anal., 2021

Controlling Propagation of Epidemics via Mean-Field Control.
SIAM J. Appl. Math., 2021

Generalized unnormalized optimal transport and its fast algorithms.
J. Comput. Phys., 2021

Joint Sensing Task Assignment and Collision-Free Trajectory Optimization for Mobile Vehicle Networks Using Mean-Field Games.
IEEE Internet Things J., 2021

Transformer with a Mixture of Gaussian Keys.
CoRR, 2021

How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies.
CoRR, 2021

Learn to Predict Equilibria via Fixed Point Networks.
CoRR, 2021

Fixed Point Networks: Implicit Depth Models with Jacobian-Free Backprop.
CoRR, 2021

Heavy Ball Neural Ordinary Differential Equations.
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

FMMformer: Efficient and Flexible Transformer via Decomposed Near-field and Far-field Attention.
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

Decentralized Multi-Agents by Imitation of a Centralized Controller.
Proceedings of the Mathematical and Scientific Machine Learning, 2021

Task Selection and Route Planning for Mobile Crowd Sensing Using Multi-Population Mean-Field Games.
Proceedings of the ICC 2021, 2021

Belief and Opinion Evolution in Social Networks: A High-Dimensional Mean Field Game Approach.
Proceedings of the ICC 2021, 2021

Wasserstein Proximal of GANs.
Proceedings of the Geometric Science of Information - 5th International Conference, 2021

A Neural Network Approach Applied to Multi-Agent Optimal Control.
Proceedings of the 2021 European Control Conference, 2021

2020
EnResNet: ResNets Ensemble via the Feynman-Kac Formalism for Adversarial Defense and Beyond.
SIAM J. Math. Data Sci., 2020

A Model for Optimal Human Navigation with Stochastic Effects.
SIAM J. Appl. Math., 2020

Projecting to Manifolds via Unsupervised Learning.
CoRR, 2020

Exploring Private Federated Learning with Laplacian Smoothing.
CoRR, 2020

Sparsity Meets Robustness: Channel Pruning for the Feynman-Kac Formalism Principled Robust Deep Neural Nets.
CoRR, 2020

Scheduled Restart Momentum for Accelerated Stochastic Gradient Descent.
CoRR, 2020

APAC-Net: Alternating the Population and Agent Control via Two Neural Networks to Solve High-Dimensional Stochastic Mean Field Games.
CoRR, 2020

MomentumRNN: Integrating Momentum into Recurrent Neural Networks.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

DP-LSSGD: A Stochastic Optimization Method to Lift the Utility in Privacy-Preserving ERM.
Proceedings of Mathematical and Scientific Machine Learning, 2020

Sparsity Meets Robustness: Channel Pruning for the Feynman-Kac Formalism Principled Robust Deep Neural Nets.
Proceedings of the Machine Learning, Optimization, and Data Science, 2020

Energy-efficient Velocity Control for Massive Numbers of Rotary-Wing UAVs: A Mean Field Game Approach.
Proceedings of the IEEE Global Communications Conference, 2020

A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles.
Proceedings of the 59th IEEE Conference on Decision and Control, 2020

2019
Hyperspectral Anomaly Detection via Global and Local Joint Modeling of Background.
IEEE Trans. Signal Process., 2019

Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size.
SIAM J. Numer. Anal., 2019

Modeling Environmental Crime in Protected Areas Using the Level Set Method.
SIAM J. Appl. Math., 2019

Diagnosing Forward Operator Error Using Optimal Transport.
J. Sci. Comput., 2019

Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising.
J. Sci. Comput., 2019

Algorithm for Hamilton-Jacobi Equations in Density Space Via a Generalized Hopf Formula.
J. Sci. Comput., 2019

Unnormalized optimal transport.
J. Comput. Phys., 2019

Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations.
J. Comput. Phys., 2019

A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems.
CoRR, 2019

Graph Interpolating Activation Improves Both Natural and Robust Accuracies in Data-Efficient Deep Learning.
CoRR, 2019

DP-LSSGD: A Stochastic Optimization Method to Lift the Utility in Privacy-Preserving ERM.
CoRR, 2019

CESMA: Centralized Expert Supervises Multi-Agents.
CoRR, 2019

A Deterministic Approach to Avoid Saddle Points.
CoRR, 2019

ResNets Ensemble via the Feynman-Kac Formalism to Improve Natural and Robust Accuracies.
Proceedings of the Advances in Neural Information Processing Systems 32: Annual Conference on Neural Information Processing Systems 2019, 2019

Understanding Straight-Through Estimator in Training Activation Quantized Neural Nets.
Proceedings of the 7th International Conference on Learning Representations, 2019

2018
Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications.
SIAM J. Sci. Comput., 2018

BinaryRelax: A Relaxation Approach for Training Deep Neural Networks with Quantized Weights.
SIAM J. Imaging Sci., 2018

Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for k-Means Clustering.
J. Sci. Comput., 2018

Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model.
J. Sci. Comput., 2018

Unbalanced and Partial L<sub>1</sub> Monge-Kantorovich Problem: A Scalable Parallel First-Order Method.
J. Sci. Comput., 2018

Computations of Optimal Transport Distance with Fisher Information Regularization.
J. Sci. Comput., 2018

A Parallel Method for Earth Mover's Distance.
J. Sci. Comput., 2018

Scientific data interpolation with low dimensional manifold model.
J. Comput. Phys., 2018

Parallel redistancing using the Hopf-Lax formula.
J. Comput. Phys., 2018

A review of level-set methods and some recent applications.
J. Comput. Phys., 2018

Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula.
IEEE Control. Syst. Lett., 2018

EnResNet: ResNet Ensemble via the Feynman-Kac Formalism.
CoRR, 2018

Mathematical Analysis of Adversarial Attacks.
CoRR, 2018

Adversarial Defense via Data Dependent Activation Function and Total Variation Minimization.
CoRR, 2018

Blended Coarse Gradient Descent for Full Quantization of Deep Neural Networks.
CoRR, 2018

Laplacian Smoothing Gradient Descent.
CoRR, 2018

Deep Learning with Data Dependent Implicit Activation Function.
CoRR, 2018

Scalable Low Dimensional Manifold Model In The Reconstruction Of Noisy And Incomplete Hyperspectral Images.
Proceedings of the 9th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, 2018

Deep Neural Nets with Interpolating Function as Output Activation.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems.
Proceedings of the IEEE Conference on Control Technology and Applications, 2018

2017
Unsupervised Classification in Hyperspectral Imagery With Nonlocal Total Variation and Primal-Dual Hybrid Gradient Algorithm.
IEEE Trans. Geosci. Remote. Sens., 2017

On the Support of Compressed Modes.
SIAM J. Math. Anal., 2017

Low Dimensional Manifold Model for Image Processing.
SIAM J. Imaging Sci., 2017

An Efficient Primal-Dual Method for the Obstacle Problem.
J. Sci. Comput., 2017

Weighted Nonlocal Laplacian on Interpolation from Sparse Data.
J. Sci. Comput., 2017

Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton-Jacobi Equations Arising From Optimal Control and Differential Games Problems.
J. Sci. Comput., 2017

Revisiting the redistancing problem using the Hopf-Lax formula.
J. Comput. Phys., 2017

Deep Learning for Real-Time Crime Forecasting and its Ternarization.
CoRR, 2017

Deep Relaxation: partial differential equations for optimizing deep neural networks.
CoRR, 2017

Accelerated high-resolution EEG source imaging.
Proceedings of the 8th International IEEE/EMBS Conference on Neural Engineering, 2017

Pre-processing and classification of hyperspectral imagery via selective inpainting.
Proceedings of the 2017 IEEE International Conference on Acoustics, 2017

Partial differential equations for training deep neural networks.
Proceedings of the 51st Asilomar Conference on Signals, Systems, and Computers, 2017

2016
A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-Norm Fidelity.
J. Sci. Comput., 2016

Wavelet burst accumulation for turbulence mitigation.
J. Electronic Imaging, 2016

Low dimensional manifold model in hyperspectral image reconstruction.
CoRR, 2016

A Harmonic Extension Approach for Collaborative Ranking.
CoRR, 2016

Graph fractional-order total variation EEG source reconstruction.
Proceedings of the 38th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2016

2015
Nonlocal Structure Tensor Functionals for Image Regularization.
IEEE Trans. Computational Imaging, 2015

Real-Time Adaptive Video Compression.
SIAM J. Sci. Comput., 2015

Non-Local Retinex - A Unifying Framework and Beyond.
SIAM J. Imaging Sci., 2015

Space-Time Regularization for Video Decompression.
SIAM J. Imaging Sci., 2015

A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing.
SIAM J. Imaging Sci., 2015

An L<sup>1</sup> Penalty Method for General Obstacle Problems.
SIAM J. Appl. Math., 2015

Normal Estimation of a Transparent Object Using a Video.
IEEE Trans. Pattern Anal. Mach. Intell., 2015

A time continuation based fast approximate algorithm for compressed sensing related optimization.
Math. Comput., 2015

Computational Aspects of Constrained L 1-L 2 Minimization for Compressive Sensing.
Proceedings of the Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 3rd International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, 2015

Vectorial non-local total variation regularization for calibration-free parallel MRI reconstruction.
Proceedings of the 12th IEEE International Symposium on Biomedical Imaging, 2015

A Dirichlet Energy Criterion for Graph-Based Image Segmentation.
Proceedings of the IEEE International Conference on Data Mining Workshop, 2015

2014
2D Empirical Transforms. Wavelets, Ridgelets, and Curvelets Revisited.
SIAM J. Imaging Sci., 2014

On the Compressive Spectral Method.
Multiscale Model. Simul., 2014

A Splitting Method for Orthogonality Constrained Problems.
J. Sci. Comput., 2014

Optimal data collection for informative rankings expose well-connected graphs.
J. Mach. Learn. Res., 2014

2013
A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures.
J. Signal Process. Syst., 2013

A Low Patch-Rank Interpretation of Texture.
SIAM J. Imaging Sci., 2013

A dual split Bregman method for fast ℓ<sup>1</sup> minimization.
Math. Comput., 2013

An adaptive inverse scale space method for compressed sensing.
Math. Comput., 2013

Error Forgetting of Bregman Iteration.
J. Sci. Comput., 2013

Exact Low-Rank Matrix Completion from Sparsely Corrupted Entries Via Adaptive Outlier Pursuit.
J. Sci. Comput., 2013

Bregmanized Domain Decomposition for Image Restoration.
J. Sci. Comput., 2013

Enhanced statistical rankings via targeted data collection.
Proceedings of the 30th International Conference on Machine Learning, 2013

A unifying retinex model based on non-local differential operators.
Proceedings of the Computational Imaging XI, 2013

Mixing space-time derivatives for video compressive sensing.
Proceedings of the 2013 Asilomar Conference on Signals, 2013

2012
Robust 1-bit Compressive Sensing Using Adaptive Outlier Pursuit.
IEEE Trans. Signal Process., 2012

Efficient Algorithm for Level Set Method Preserving Distance Function.
IEEE Trans. Image Process., 2012

A Convex Model for Nonnegative Matrix Factorization and Dimensionality Reduction on Physical Space.
IEEE Trans. Image Process., 2012

Multiple Aerosol Unmixing by the Split Bregman Algorithm.
IEEE Trans. Geosci. Remote. Sens., 2012

Multi-Channel l<sub>1</sub> Regularized Convex Speech Enhancement Model and Fast Computation by the Split Bregman Method.
IEEE Trans. Speech Audio Process., 2012

Optimal Data Collection for Improved Rankings Expose Well-Connected Graphs
CoRR, 2012

Multigrid Narrow Band Surface Reconstruction via Level Set Functions.
Proceedings of the Advances in Visual Computing - 8th International Symposium, 2012

Hybrid regularization for mri reconstruction with static field inhomogeneity correction.
Proceedings of the 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2012

2011
Make it home: automatic optimization of furniture arrangement.
ACM Trans. Graph., 2011

A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration.
J. Sci. Comput., 2011

A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations.
J. Comput. Phys., 2011

Fast Linearized Bregman Iteration for Compressive Sensing and Sparse Denoising
CoRR, 2011

Fast edge-filtered image upsampling.
Proceedings of the 18th IEEE International Conference on Image Processing, 2011

Adequate reconstruction of transparent objects on a shoestring budget.
Proceedings of the 24th IEEE Conference on Computer Vision and Pattern Recognition, 2011

An L1-based variational model for Retinex theory and its application to medical images.
Proceedings of the 24th IEEE Conference on Computer Vision and Pattern Recognition, 2011

2010
Development and Optimization of Regularized Tomographic Reconstruction Algorithms Utilizing Equally-Sloped Tomography.
IEEE Trans. Image Process., 2010

A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery.
SIAM J. Sci. Comput., 2010

Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction.
SIAM J. Imaging Sci., 2010

A Nonlinear PDE-Based Method for Sparse Deconvolution.
Multiscale Model. Simul., 2010

Image Recovery via Nonlocal Operators.
J. Sci. Comput., 2010

Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction.
J. Sci. Comput., 2010

A Fast Hybrid Algorithm for Large-Scale <i>l<sub>1</sub></i>-Regularized Logistic Regression.
J. Mach. Learn. Res., 2010

Segmentation for Hyperspectral Images with Priors.
Proceedings of the Advances in Visual Computing - 6th International Symposium, 2010

Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation.
Proceedings of the Advances in Visual Computing - 6th International Symposium, 2010

A Compressive Sensing Algorithm for Many-Core Architectures.
Proceedings of the Advances in Visual Computing - 6th International Symposium, 2010

Convexity and fast speech extraction by split bregman method.
Proceedings of the 11th Annual Conference of the International Speech Communication Association, 2010

Reducing musical noise in blind source separation by time-domain sparse filters and split bregman method.
Proceedings of the 11th Annual Conference of the International Speech Communication Association, 2010

A split Bregman method for non-negative sparsity penalized least squares with applications to hyperspectral demixing.
Proceedings of the International Conference on Image Processing, 2010

2009
The Split Bregman Method for L1-Regularized Problems.
SIAM J. Imaging Sci., 2009

Linearized Bregman Iterations for Frame-Based Image Deblurring.
SIAM J. Imaging Sci., 2009

Convergence of the linearized Bregman iteration for ℓ<sub>1</sub>-norm minimization.
Math. Comput., 2009

Linearized Bregman iterations for compressed sensing.
Math. Comput., 2009

Split Bregman Methods and Frame Based Image Restoration.
Multiscale Model. Simul., 2009

Comparing registration methods for mapping brain change using tensor-based morphometry.
Medical Image Anal., 2009

Edge-Enhanced Image Reconstruction Using (TV) Total Variation and Bregman Refinement.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

A Novel Method for Enhanced Needle Localization Using Ultrasound-Guidance.
Proceedings of the Advances in Visual Computing, 5th International Symposium, 2009

MRI Resolution Enhancement Using Total Variation Regularization.
Proceedings of the 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Boston, MA, USA, June 28, 2009

A note on the Bregmanized Total Variation and dual forms.
Proceedings of the International Conference on Image Processing, 2009

2008
Bregman Iterative Algorithms for \ell<sub>1</sub>-Minimization with Applications to Compressed Sensing.
SIAM J. Imaging Sci., 2008

A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model.
SIAM J. Imaging Sci., 2008

Topology Preserving Linear Filtering Applied to Medical Imaging.
SIAM J. Imaging Sci., 2008

Shape from Defocus via Diffusion.
IEEE Trans. Pattern Anal. Mach. Intell., 2008

Nonlocal Operators with Applications to Image Processing.
Multiscale Model. Simul., 2008

Level Set Based Nonlocal Surface Restoration.
Multiscale Model. Simul., 2008

Image Super-Resolution by TV-Regularization and Bregman Iteration.
J. Sci. Comput., 2008

Essentially Non-Oscillatory Adaptive Tree Methods.
J. Sci. Comput., 2008

Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes.
J. Comput. Phys., 2008

Level Set Based Surface Capturing in 3D Medical Images.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2008

Validating unbiased registration on longitudinal MRI scans from the Alzheimer'S Disease neuroimaging initiative (ADNI).
Proceedings of the 2008 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2008

Fast nonlocal filtering applied to electron cryomicroscopy.
Proceedings of the 2008 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2008

Asymmetric and symmetric unbiased image registration: Statistical assessment of performance.
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2008

Multimodal unbiased image matching via mutual information.
Proceedings of the Computational Imaging VI, 2008

2007
Iterative Regularization and Nonlinear Inverse Scale Space Applied to Wavelet-Based Denoising.
IEEE Trans. Image Process., 2007

The Total Variation Regularized L<sup>1</sup> Model for Multiscale Decomposition.
Multiscale Model. Simul., 2007

Nonlocal Linear Image Regularization and Supervised Segmentation.
Multiscale Model. Simul., 2007

Inverse Total Variation Flow.
Multiscale Model. Simul., 2007

Direct cortical mapping via solving partial differential equations on implicit surfaces.
Medical Image Anal., 2007

A comparison of three total variation based texture extraction models.
J. Vis. Commun. Image Represent., 2007

Preface.
J. Sci. Comput., 2007

Level Set Based Simulations of Two-Phase Oil-Water Flows in Pipes.
J. Sci. Comput., 2007

Fast Global Minimization of the Active Contour/Snake Model.
J. Math. Imaging Vis., 2007

Incorporating topological derivatives into shape derivatives based level set methods.
J. Comput. Phys., 2007

Log-unbiased large-deformation image registration.
Proceedings of the VISAPP 2007: Proceedings of the Second International Conference on Computer Vision Theory and Applications, Barcelona, Spain, March 8-11, 2007, 2007

A TV-Stokes Denoising Algorithm.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

Solving the Chan-Vese Model by a Multiphase Level Set Algorithm Based on the Topological Derivative.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

Multiphase Segmentation of Deformation using Logarithmic Priors.
Proceedings of the 2007 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2007), 2007

Topology Preserving Log-Unbiased Nonlinear Image Registration: Theory and Implementation.
Proceedings of the 2007 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2007), 2007

Nonlocal evolutions for image regularization.
Proceedings of the Computational Imaging V, San Jose, 2007

2006
A Level Set Framework for Capturing Multi-Valued Solutions of Nonlinear First-Order Equations.
J. Sci. Comput., 2006

Denoising by BV-duality.
J. Sci. Comput., 2006

Iterative Total Variation Regularization with Non-Quadratic Fidelity.
J. Math. Imaging Vis., 2006

Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension.
J. Comput. Phys., 2006

Kernel Density Estimation and Intrinsic Alignment for Shape Priors in Level Set Segmentation.
Int. J. Comput. Vis., 2006

Structure-Texture Image Decomposition - Modeling, Algorithms, and Parameter Selection.
Int. J. Comput. Vis., 2006

Color Texture Modeling and Color Image Decomposition in a Variational-PDE Approach.
Proceedings of the 8th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2006), 2006

2005
Fast Sweeping Methods for Static Hamilton-Jacobi Equations.
SIAM J. Numer. Anal., 2005

An Iterative Regularization Method for Total Variation-Based Image Restoration.
Multiscale Model. Simul., 2005

Deblurring and Denoising of Images by Nonlocal Functionals.
Multiscale Model. Simul., 2005

Blind deconvolution using TV regularization and Bregman iteration.
Int. J. Imaging Syst. Technol., 2005

Image Cartoon-Texture Decomposition and Feature Selection Using the Total Variation Regularized L<sup>1</sup> Functional.
Proceedings of the Variational, 2005

Global Minimization of the Active Contour Model with TV-Inpainting and Two-Phase Denoising.
Proceedings of the Variational, 2005

Nonlinear Inverse Scale Space Methods for Image Restoration.
Proceedings of the Variational, 2005

Structure-Texture Decomposition by a TV-Gabor Model.
Proceedings of the Variational, 2005

2004
Noise removal using smoothed normals and surface fitting.
IEEE Trans. Image Process., 2004

Image Denoising and Decomposition with Total Variation Minimization and Oscillatory Functions.
J. Math. Imaging Vis., 2004

Level set and PDE methods for computer graphics.
Proceedings of the International Conference on Computer Graphics and Interactive Techniques, 2004

Kernel Density Estimation and Intrinsic Alignment for Knowledge-Driven Segmentation: Teaching Level Sets to Walk.
Proceedings of the Pattern Recognition, 26th DAGM Symposium, August 30, 2004

2003
Geometric surface processing via normal maps.
ACM Trans. Graph., 2003

Simultaneous structure and texture image inpainting.
IEEE Trans. Image Process., 2003

Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations.
SIAM J. Numer. Anal., 2003

A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations.
Math. Comput., 2003

Image Decomposition and Restoration Using Total Variation Minimization and the <i>H</i><sup>1</sup>.
Multiscale Model. Simul., 2003

Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing.
J. Sci. Comput., 2003

A Level Set Approach for the Numerical Simulation of Dendritic Growth.
J. Sci. Comput., 2003

Computational Anatomy and Implicit Object Representation: A Level Set Approach.
Proceedings of the Biomedical Image Registration, Second International Workshop, 2003

Level set methods in image science.
Proceedings of the 2003 International Conference on Image Processing, 2003

Image decomposition, image restoration, and texture modeling using total variation minimization and the H/sup-1/ norm.
Proceedings of the 2003 International Conference on Image Processing, 2003

New framework for object warping: semi-Lagrangian level set approach.
Proceedings of the 2003 International Conference on Image Processing, 2003

Image filling-in in a decomposition space.
Proceedings of the 2003 International Conference on Image Processing, 2003

3D Shape from Anisotropic Diffusion.
Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2003), 2003

Level set methods and dynamic implicit surfaces.
Applied mathematical sciences 153, Springer, ISBN: 0387954821, 2003

2002
Numerical Methods for <i>p</i>-Harmonic Flows and Applications to Image Processing.
SIAM J. Numer. Anal., 2002

Geometric Surface Smoothing via Anisotropic Diffusion of Normals.
Proceedings of the 13th IEEE Visualization Conference, 2002

2001
The digital TV filter and nonlinear denoising.
IEEE Trans. Image Process., 2001

Diffusion-Generated Motion by Mean Curvature for Filaments.
J. Nonlinear Sci., 2001

2000
Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal.
SIAM J. Sci. Comput., 2000

Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method.
Comput. Vis. Image Underst., 2000

1999
A New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal.
Proceedings of the Scale-Space Theories in Computer Vision, 1999

1998
Regularization of Ill-Posed Problems Via the Level Set Approach.
SIAM J. Appl. Math., 1998

1994
Fast Wavelet Based Algorithms for Linear Evolution Equations.
SIAM J. Sci. Comput., 1994

Total Variation Based Image Restoration with Free Local Constraints.
Proceedings of the Proceedings 1994 International Conference on Image Processing, 1994

1991
Solution of the hydrodynamic device model using high-order nonoscillatory shock capturing algorithms.
IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1991


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