Stanley Osher | Academic Influence

Stanley Osher's AcademicInfluence.com Rankings

Stanley Osher

Mathematics

#325

World Rank

#690

Historical Rank

#156

USA Rank

Applied Mathematics

#5

World Rank

#6

Historical Rank

#3

USA Rank

Measure Theory

#42

World Rank

#75

Historical Rank

#23

USA Rank

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Mathematics

Stanley Osher's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics California Institute of Technology

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Why Is Stanley Osher Influential?

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According to Wikipedia, Stanley Osher is an American mathematician, known for his many contributions in shock capturing, level-set methods, and PDE-based methods in computer vision and image processing. Osher is a professor at the University of California, Los Angeles , Director of Special Projects in the Institute for Pure and Applied Mathematics and member of the California NanoSystems Institute at UCLA.

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Stanley Osher's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Nonlinear total variation based noise removal algorithms (1992) (14863)
Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Final report (1987) (10095)
Level set methods and dynamic implicit surfaces (2002) (5932)
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II (1989) (5190)
FRONTS PROPAGATING WITH CURVATURE DEPENDENT SPEED: ALGORITHMS BASED ON HAMILTON-JACOB1 FORMULATIONS (2003) (4744)
The Split Bregman Method for L1-Regularized Problems (2009) (4177)
A level set approach for computing solutions to incompressible two- phase flow II (1994) (3649)
Weighted essentially non-oscillatory schemes (1994) (2976)
Algorithms Based on Hamilton-Jacobi Formulations (1988) (2853)
Uniformly high order accurate essentially non-oscillatory schemes, 111 (1987) (2754)
A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method) (1999) (1969)
An Iterative Regularization Method for Total Variation-Based Image Restoration (2005) (1824)
Level set methods: an overview and some recent results (2001) (1767)
Minimization of Region-Scalable Fitting Energy for Image Segmentation (2008) (1714)
Bregman Iterative Algorithms for \ell1-Minimization with Applications to Compressed Sensing (2008) (1499)
Nonlocal Operators with Applications to Image Processing (2008) (1392)
Simultaneous structure and texture image inpainting (2003) (1286)
A Variational Level Set Approach to Multiphase Motion (1996) (1213)
Uniformly High-Order Accurate Nonoscillatory Schemes. I (1987) (1055)
Regular Article: A PDE-Based Fast Local Level Set Method (1999) (1036)
Uniformly high order accuracy essentially non-oscillatory schemes III (1987) (1008)
Geometric Level Set Methods in Imaging, Vision, and Graphics (2011) (1003)
Fast Global Minimization of the Active Contour/Snake Model (2007) (955)
Feature-oriented image enhancement using shock filters (1990) (893)
A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows (1996) (893)
A PDE-Based Fast Local Level Set Method 1 (1998) (875)
An improved level set method for incompressible two-phase flows (1998) (821)
Upwind difference schemes for hyperbolic systems of conservation laws (1982) (794)
Total variation based image restoration with free local constraints (1994) (774)
Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing (2003) (756)
Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction (2010) (743)
Split Bregman Methods and Frame Based Image Restoration (2009) (720)
Structure-Texture Image Decomposition—Modeling, Algorithms, and Parameter Selection (2006) (671)
High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations (1990) (610)
Level Set Methods for Optimization Problems Involving Geometry and Constraints I. Frequencies of a T (2001) (576)
The digital TV filter and nonlinear denoising (2001) (542)
Image Decomposition and Restoration Using Total Variation Minimization and the H1 (2003) (527)
A Simple Level Set Method for Solving Stefan Problems (1997) (526)
Motion of multiple junctions: a level set approach (1994) (524)
Nonlocal Linear Image Regularization and Supervised Segmentation (2007) (517)
Riemann Solvers, the Entropy Condition, and Difference (1984) (494)
Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction (2010) (489)
IMAGE DECOMPOSITION AND RESTORATION USING TOTAL VARIATION MINIMIZATION AND THE H−1 NORM∗ (2002) (473)
Fast surface reconstruction using the level set method (2001) (471)
Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations (2003) (468)
Image Super-Resolution by TV-Regularization and Bregman Iteration (2008) (458)
Some results on uniformly high-order accurate essentially nonoscillatory schemes (1986) (453)
A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration (2010) (443)
Computing interface motion in compressible gas dynamics (1992) (439)
Level Set Methods (2003) (416)
Deblurring and Denoising of Images by Nonlocal Functionals (2005) (414)
A new class of high accuracy TVD schemes for hyperbolic conservation laws. [Total Variation Diminishing] (1985) (413)
Kernel Density Estimation and Intrinsic Alignment for Shape Priors in Level Set Segmentation (2006) (396)
Upwind schemes and boundary conditions with applications to Euler equations in general geometries (1983) (372)
One-sided difference approximations for nonlinear conservation laws (1981) (364)
Make it home: automatic optimization of furniture arrangement (2011) (349)
Image Recovery via Nonlocal Operators (2010) (337)
Linearized Bregman iterations for compressed sensing (2009) (335)
High Resolution Schemes and the Entropy Condition (1984) (333)
Regular ArticleUniformly High Order Accurate Essentially Non-oscillatory Schemes, III (1997) (330)
Image restoration: Total variation, wavelet frames, and beyond (2012) (329)
Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal (2000) (326)
Convergence rates of convex variational regularization (2004) (320)
Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method (2000) (307)
Variational Problems and Partial Differential Equations on Implicit Surfaces: Bye Bye Triangulated Surfaces? (2003) (298)
A survey on level set methods for inverse problems and optimal design (2005) (293)
Fast Linearized Bregman Iteration for Compressive Sensing and Sparse Denoising (2011) (286)
Spatially adaptive techniques for level set methods and incompressible flow (2006) (282)
Stable and entropy satisfying approximations for transonic flow calculations (1980) (275)
A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow (1997) (274)
Fast nonlocal filtering applied to electron cryomicroscopy (2008) (273)
A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model (2008) (269)
Multiplicative Denoising and Deblurring: Theory and Algorithms (2003) (267)
Geometric surface smoothing via anisotropic diffusion of normals (2002) (262)
A review of level-set methods and some recent applications (2018) (244)
Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations (2004) (241)
Noise removal using smoothed normals and surface fitting (2004) (234)
Decomposition of images by the anisotropic Rudin‐Osher‐Fatemi model (2004) (226)
Linearized Bregman Iterations for Frame-Based Image Deblurring (2009) (222)
Multi-energy CT based on a prior rank, intensity and sparsity model (PRISM) (2011) (219)
Convergence of Generalized MUSCL Schemes (1985) (205)
Initial‐boundary value problems for hyperbolic equations with uniformly characteristic boundary (1975) (205)
Image Denoising and Decomposition with Total Variation Minimization and Oscillatory Functions (2004) (199)
Variational Problems and Partial Differential Equations on Implicit Surfaces: The Framework and Exam (2000) (198)
Coordinate descent optimization for l 1 minimization with application to compressed sensing; a greedy algorithm (2009) (187)
Convergence of the linearized Bregman iteration for ℓ1-norm minimization (2009) (184)
Convex ENO High Order Multi-dimensional Schemes without Field by Field Decomposition or Staggered Grids (1998) (183)
A Level Set Approach for the Numerical Simulation of Dendritic Growth (2003) (182)
Maximizing band gaps in two-dimensional photonic crystals by using level set methods (2005) (181)
Compressed modes for variational problems in mathematics and physics (2013) (181)
Numerical approximations to nonlinear conservation laws with locally varying time and space grids (1983) (179)
High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws (1998) (179)
A Splitting Method for Orthogonality Constrained Problems (2014) (178)
Nonlinear inverse scale space methods (2006) (172)
Numerical experiments with the Osher upwind scheme for the Euler equations (1982) (171)
Very High Order Accurate TVD Schemes (1986) (170)
A Convex Model for Nonnegative Matrix Factorization and Dimensionality Reduction on Physical Space (2011) (169)
High resolution applications of the Osher upwind scheme for the Euler equations (1983) (167)
Understanding Straight-Through Estimator in Training Activation Quantized Neural Nets (2019) (167)
A technique for calibrating derivative security pricing models: numerical solution of an inverse problem (1997) (163)
Robust 1-bit Compressive Sensing Using Adaptive Outlier Pursuit (2012) (161)
Sparse dynamics for partial differential equations (2012) (160)
A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing (2015) (158)
REVIEW ARTICLE: Level Set Methods and Their Applications in Image Science (2003) (158)
On the convergence of difference approximations to scalar conservation laws (1988) (157)
Triangle based adaptive stencils for the solution of hyperbolic conservation laws (1992) (156)
Geometric surface processing via normal maps (2003) (156)
A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations (1993) (156)
Fast Sweeping Methods for Static Hamilton-Jacobi Equations (2004) (155)
L1 unmixing and its application to hyperspectral image enhancement (2009) (155)
Shape from Defocus via Diffusion (2008) (153)
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions (2004) (152)
The Fourier method for nonsmooth initial data (1978) (150)
Geometric Optics in a Phase-Space-Based Level Set and Eulerian Framework (2002) (144)
Incorporating topological derivatives into shape derivatives based level set methods (2007) (144)
Splitting Methods in Communication, Imaging, Science, and Engineering (2017) (144)
Iterative Regularization and Nonlinear Inverse Scale Space Applied to Wavelet-Based Denoising (2007) (138)
Image Cartoon-Texture Decomposition and Feature Selection Using the Total Variation Regularized L1 Functional (2005) (135)
2D Empirical Transforms. Wavelets, Ridgelets, and Curvelets Revisited (2014) (132)
Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes I (1996) (132)
A Low Patch-Rank Interpretation of Texture (2013) (129)
Numerical Methods for p-Harmonic Flows and Applications to Image Processing (2002) (127)
Deep relaxation: partial differential equations for optimizing deep neural networks (2017) (127)
Large-scale computations in fluid mechanics (1985) (120)
The Total Variation Regularized L1 Model for Multiscale Decomposition (2007) (120)
A Guide to the TV Zoo (2013) (119)
Low Dimensional Manifold Model for Image Processing (2017) (118)
Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere (2016) (118)
Motion of Curves Constrained on Surfaces Using a Level-Set Approach (2002) (116)
High-order ENO schemes applied to two- and three-dimensional compressible flow (1992) (116)
Motion of curves in three spatial dimensions using a level set approach (2001) (115)
A machine learning framework for solving high-dimensional mean field game and mean field control problems (2019) (114)
Numerical Solution of the High Frequency Asymptotic Expansion for the Scalar Wave Equation (1995) (114)
High Accuracy Numerical Methods for Thermally Perfect Gas Flows with Chemistry (1997) (110)
Determining the three-dimensional atomic structure of an amorphous solid (2020) (103)
Solution of the hydrodynamic device model using high-order nonoscillatory shock capturing algorithms (1991) (103)
Blind deconvolution using TV regularization and Bregman iteration (2005) (99)
An L1-based variational model for Retinex theory and its application to medical images (2011) (99)
A new median formula with applications to PDE based denoising (2009) (98)
Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation (2005) (93)
Application of a new class of high accuracy TVD schemes to the Navier-Stokes equations (1985) (91)
Fast Wavelet Based Algorithms for Linear Evolution Equations (1994) (90)
Efficient Algorithm for Level Set Method Preserving Distance Function (2012) (89)
Numerical viscosity and the entropy condition (1979) (88)
Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach (1998) (87)
Visibility and its dynamics in a PDE based implicit framework (2004) (86)
L1 stability of travelling waves with applications to convective porous media flow (1982) (82)
A TV Bregman iterative model of Retinex theory (2012) (82)
Kernel Density Estimation and Intrinsic Alignment for Knowledge-Driven Segmentation: Teaching Level Sets to Walk (2004) (82)
Numerical Solution of Singular Perturbation Problems and Hyperbolic Systems of Conservation Laws (1981) (79)
Non-Local Retinex - A Unifying Framework and Beyond (2015) (79)
Nonlinear Inverse Scale Space Methods for Image Restoration (2005) (78)
Computational high-frequency wave propogation using the level-set method with applications to the semi-classical limit of the Schrödinger equations (2003) (78)
A Parallel Method for Earth Mover’s Distance (2018) (77)
A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDE's and Hamilton-Jacobi equations (2003) (77)
Island dynamics and the level set method for epitaxial growth (1999) (76)
Level-set methods for the simulation of epitaxial phenomena (1998) (75)
A level set method for thin film epitaxial growth (2001) (75)
Numerical resolution of pulsating detonation waves (2000) (75)
Diffusion-Generated Motion by Mean Curvature for Filaments (2001) (74)
Quantitative Photoacoustic Tomography (2012) (73)
Solving variational problems and partial differential equations mapping into general target manifolds (2004) (73)
BinaryRelax: A Relaxation Approach For Training Deep Neural Networks With Quantized Weights (2018) (73)
Error Forgetting of Bregman Iteration (2013) (72)
The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations (1991) (72)
A Fast Hybrid Algorithm for Large-Scale l1-Regularized Logistic Regression (2010) (72)
Computing with high-resolution upwind schemes for hyperbolic equations (1985) (71)
A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations (2011) (71)
Fast Singular Value Thresholding without Singular Value Decomposition (2013) (71)
A comparison of three total variation based texture extraction models (2007) (70)
Seismic data reconstruction via matrix completion (2013) (70)
Entropy Condition Satisfying Approximations for the Full Potential Equation of Transonic Flow (1985) (66)
Image Inpainting Using a TV-Stokes Equation (2007) (65)
Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations (1977) (65)
THE WULFF SHAPE AS THE ASYMPTOTIC LIMIT OF A GROWING CRYSTALLINE INTERFACE (1997) (64)
Systems of difference equations with general homogeneous boundary conditions (1969) (63)
An adaptive inverse scale space method for compressed sensing (2012) (63)
Nonlocal Convex Functionals for Image Regularization (2006) (62)
MR IMAGE RECONSTRUCTION BY USING THE ITERATIVE REFINEMENT METHOD AND NONLINEAR INVERSE SCALE SPACE METHODS (2006) (62)
The discrete one-sided Lipschitz condition for convex scalar conservation laws (1988) (62)
Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves (1999) (62)
Topology Preserving Log-Unbiased Nonlinear Image Registration: Theory and Implementation (2007) (61)
Inverse Problem Techniques for the Design of Photonic Crystals (INVITED) (2004) (60)
Deep Learning for Real-Time Crime Forecasting and Its Ternarization (2017) (60)
Nonlinear Singular Perturbation Problems and One Sided Difference Schemes (1981) (59)
Monotone Difference Schemes for Singular Perturbation Problems (1982) (59)
Weighted Nonlocal Laplacian on Interpolation from Sparse Data (2017) (59)
A level set-based Eulerian approach for anisotropic wave propagation (2003) (58)
Reflection of singularities at the boundary (1975) (58)
Monte Carlo data-driven tight frame for seismic data recovery (2016) (58)
A TV-Stokes Denoising Algorithm (2007) (57)
Blended coarse gradient descent for full quantization of deep neural networks (2018) (57)
Inverse Total Variation Flow (2007) (57)
Computational Aspects of Constrained L 1-L 2 Minimization for Compressive Sensing (2015) (56)
Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations (2017) (56)
Comparing registration methods for mapping brain change using tensor-based morphometry (2009) (55)
High Order Two Dimensional Nonoscillatory Methods for Solving Hamilton-Jacobi Scalar Equations (1996) (53)
Total variation and level set methods in image science (2005) (53)
A second order primitive preconditioner for solving all speed multi-phase flows (2005) (53)
Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems (2005) (53)
Sparse Recovery via Differential Inclusions (2014) (53)
On the Compressive Spectral Method (2014) (52)
Solving the Chan-Vese Model by a Multiphase Level Set Algorithm Based on the Topological Derivative (2007) (52)
Shocks and other nonlinear filtering applied to image processing (1991) (52)
Simplified Discretization of Systems of Hyperbolic Conservation Laws Containing Advection Equations (2000) (51)
Development and Optimization of Regularized Tomographic Reconstruction Algorithms Utilizing Equally-Sloped Tomography (2010) (51)
Unsupervised Classification in Hyperspectral Imagery With Nonlocal Total Variation and Primal-Dual Hybrid Gradient Algorithm (2016) (51)
Computations of Optimal Transport Distance with Fisher Information Regularization (2017) (50)
A multiple level set method for modeling grain boundary evolution of polycrystalline materials (2008) (48)
Direct cortical mapping via solving partial differential equations on implicit surfaces (2007) (48)
Level-Set-Based Deformation Methods for Adaptive Grids (2000) (48)
Global Minimizers of The Active Contour/Snake Model (2005) (45)
A unifying retinex model based on non-local differential operators (2013) (45)
A fast, time-accurate, unsteady full potential scheme (1987) (44)
ResNets Ensemble via the Feynman-Kac Formalism to Improve Natural and Robust Accuracies (2018) (44)
Nonlocal Structure Tensor Functionals for Image Regularization (2015) (44)
Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size (2018) (44)
The Geometry of Wulff Crystal Shapes and Its Relations with Riemann Problems (1998) (43)
A split Bregman method for non-negative sparsity penalized least squares with applications to hyperspectral demixing (2010) (43)
Precursor tissue analogs as a tissue-engineering strategy. (2003) (43)
A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations (2003) (43)
Unnormalized optimal transport (2019) (42)
On singular diffusion equations with applications to self‐organized criticality (1993) (42)
Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton–Jacobi Equations Arising From Optimal Control and Differential Games Problems (2017) (41)
Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator (2014) (41)
A systematic approach for correcting nonlinear instabilities (1978) (41)
A LEVEL SET METHOD FOR THE COMPUTATION OF MULTIVALUED SOLUTIONS TO QUASI-LINEAR HYPERBOLIC PDES AND HAMILTON-JACOBI EQUATIONS (2003) (41)
Hyperspectral Anomaly Detection via Global and Local Joint Modeling of Background (2019) (40)
Level Set and PDE Based Reconstruction Methods in Imaging: Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher (2013) (40)
Signed Distance Functions (2003) (39)
Minimization of Grid Orientation Effects Through Use of Higher Order Finite Difference Methods (1993) (39)
Stability of difference approximations of dissipative type for mixed initial-boundary value problems. I (1969) (38)
Bregman methods in quantitative photoacoustic tomography (2010) (37)
A Fixed Grid Method for Capturing the Motion of Self-Intersecting Wavefronts and Related PDEs (2000) (37)
Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes (2008) (37)
Regularization of Ill-Posed Problems Via the Level Set Approach (1998) (37)
Total Variation Based Image Cartoon-Texture Decomposition (2005) (36)
Reflection in a Level Set Framework for Geometric Optics (2004) (36)
Essentially non-oscillatory shock-capturing schemes of arbitrarily-high accuracy (1986) (36)
Wasserstein Proximal of GANs (2018) (36)
Global minimization of Markov random fields with applications to optical flow (2012) (35)
An L1 Penalty Method for General Obstacle Problems (2014) (35)
Radiation dose reduction in medical x-ray CT via Fourier-based iterative reconstruction. (2013) (34)
Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension (2006) (34)
An Eulerian Approach for Vortex Motion Using a Level Set Regularization Procedure (1996) (34)
Heat source identification based on l1 constrained minimization (2014) (33)
Scheduled Restart Momentum for Accelerated Stochastic Gradient Descent (2020) (33)
UNIFORMLY HIGH ORDER ACCURATE (33)
A LEVEL SET METHOD FOR THREE-DIMENSIONAL PARAXIAL GEOMETRICAL OPTICS WITH MULTIPLE POINT SOURCES ⁄ (2004) (33)
Level set methods in image science (2003) (33)
Alternating the population and control neural networks to solve high-dimensional stochastic mean-field games (2020) (33)
3D shape from anisotropic diffusion (2003) (32)
G-Norm Properties of Bounded Variation Regularization (2004) (32)
A New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal (1999) (32)
Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation (2006) (32)
A General Technique for Eliminating Spurious Oscillations in Conservative Schemes for Multiphase and Multispecies Euler Equations (2000) (31)
A Framework for Solving Surface Partial Differential Equations for Computer Graphics Applications (2000) (31)
Improved finite-difference schemes for transonic potential flow calculations (1984) (31)
Defect-Tolerant Aligned Dipoles within Two-Dimensional Plastic Lattices. (2015) (31)
Hamilton-Jacobi Equations (2003) (31)
Deep Neural Nets with Interpolating Function as Output Activation (2018) (31)
A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures (2013) (30)
Implicit, Nonparametric Shape Reconstruction from Unorganized Points Using A Variational Level Set M (1998) (30)
Variational problems and PDEs on implicit surfaces (2001) (30)
One-sided difference schemes and transonic flow. (1980) (30)
Adequate reconstruction of transparent objects on a shoestring budget (2011) (29)
USING GEOMETRY AND ITERATED REFINEMENT FOR INVERSE PROBLEMS (1): TOTAL VARIATION BASED IMAGE RESTORATION (2004) (29)
Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications (2017) (29)
Laplacian smoothing gradient descent (2018) (29)
APAC-Net: Alternating the Population and Agent Control via Two Neural Networks to Solve High-Dimensional Stochastic Mean Field Games (2020) (29)
Numerical simulations of high-speed chemically reacting flow (1994) (29)
Bregmanized Domain Decomposition for Image Restoration (2013) (29)
Heavy Ball Neural Ordinary Differential Equations (2021) (28)
Template matching via $l_1$ minimization and its application to hyperspectral data (2011) (28)
Fast TV Regularization for 2D Maximum Penalized Likelihood Estimation (2011) (28)
MRI resolution enhancement using total variation regularization (2009) (27)
Exact Low-Rank Matrix Completion from Sparsely Corrupted Entries Via Adaptive Outlier Pursuit (2013) (27)
Enhanced statistical rankings via targeted data collection (2013) (27)
A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-Norm Fidelity (2015) (26)
Hybrid regularization for mri reconstruction with static field inhomogeneity correction (2012) (26)
Color Texture Modeling and Color Image Decomposition in a Variational-PDE Approach (2006) (26)
High order filtering methods for approximating hyperbolic systems of conservation laws (1991) (26)
Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton–Jacobi equations, projections and differential games (2018) (26)
Level Set Based Nonlocal Surface Restoration (2008) (26)
Normal Estimation of a Transparent Object Using a Video (2015) (25)
JFB: Jacobian-Free Backpropagation for Implicit Networks (2021) (25)
A Finite Element Method for a Boundary Value Problem of Mixed Type (1979) (25)
Simulation of a Steady-State Electron Shock Wave in a Submicron Semiconductor Device Using High-Order Upwind Methods (1991) (25)
Digitized PDE Method for Data Restoration (2000) (24)
Statistical ranking using the $l^{1}$-norm on graphs (2013) (24)
Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula (2017) (24)
Convolution-Generated Motion as a Link between Cellular Automata and Continuum Pattern Dynamics (1999) (23)
Denoising by BV-duality (2006) (23)
Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising (2018) (23)
On the use of the Dual Norms in Bounded Variation Type Regularization (2006) (23)
Controlling Propagation of Epidemics via Mean-Field Control (2020) (23)
A Fast Variational Method for Surface Reconstruction from Sets of Scattered Points (2010) (22)
FMMformer: Efficient and Flexible Transformer via Decomposed Near-field and Far-field Attention (2021) (22)
A dual split Bregman method for fast ℓ1 minimization (2013) (22)
Initial-boundary value problems for hyperbolic systems in regions with corners. II (1973) (22)
An Alternating Direction Explicit ( ADE ) Scheme for Time-Dependent Evolution Equations (2005) (22)
Algorithm for Hamilton–Jacobi Equations in Density Space Via a Generalized Hopf Formula (2018) (22)
An entropy correction method for unsteady full potential flows with strong shocks (1986) (22)
PDEs with Compressed Solutions (2013) (21)
Mapping Buried Hydrogen-Bonding Networks. (2016) (21)
On Green's function for the biharmonic equation in a right angle wedge☆ (1973) (21)
E cient characteristic projection in upwind dif-ference schemes for hyperbolic systems (1998) (21)
Image decomposition, image restoration, and texture modeling using total variation minimization and the H/sup -1/ norm (2003) (20)
INVITED PAPER Special Section on Photonic Crystals and Their Device Applications Inverse Problem Techniques for the Design of Photonic Crystals (2004) (20)
Asymmetric and symmetric unbiased image registration: Statistical assessment of performance (2008) (20)
A Splitting Method For Overcoming the Curse of Dimensionality in Hamilton-Jacobi Equations Arising from Nonlinear Optimal Control and Differential Games with Applications to Trajectory Generation (2018) (20)
Fixed Point Networks: Implicit Depth Models with Jacobian-Free Backprop (2021) (19)
Numerical methods for anisotropic mean curvature flow based on a discrete time variational formulation (2011) (19)
Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model (2018) (19)
Stability of parabolic difference approximations to certain mixed initial boundary value problems (1972) (19)
An efficient, full-potential implicit method based on characteristics for supersonic flows (1983) (19)
A conservative type-dependent full potential method for the treatment of supersonic flows with embedded subsonic regions (1983) (19)
Optimal data collection for informative rankings expose well-connected graphs (2012) (18)
Numerical methods for minimization problems constrained to S1 and S2 (2004) (18)
Global Minimization of the Active Contour Model with TV-Inpainting and Two-Phase Denoising (2005) (18)
Level Set (2000) (18)
MomentumRNN: Integrating Momentum into Recurrent Neural Networks (2020) (18)
DP-LSSGD: A Stochastic Optimization Method to Lift the Utility in Privacy-Preserving ERM (2019) (18)
On certain Toeplitz operators in two variables. (1970) (18)
Unbalanced and Partial $$L_1$$L1 Monge–Kantorovich Problem: A Scalable Parallel First-Order Method (2018) (17)
A fast, time-accurate unsteady full potential scheme (1985) (17)
A Level Set Method for Three-dimensional Paraxial Geometrical Optics with Multiple Sources (2004) (17)
Adversarial Defense via Data Dependent Activation Function and Total Variation Minimization (2018) (17)
Three-dimensional atomic packing in amorphous solids with liquid-like structure (2021) (17)
Fried deconvolution (2012) (17)
An efficient full potential implicit method based on characteristics for analysis of supersonic flows (1982) (17)
Learning Circulant Sensing Kernels (2014) (16)
Riemann Solvers, the Entropy Condition and High Resolution Difference Approximations, (1984) (16)
Fast Algorithms for Earth Mover's Distance Based on Optimal Transport and L1 Type Regularization I (2016) (16)
Topology Preserving Linear Filtering Applied to Medical Imaging (2008) (16)
ON THE WAVE EQUATION IN A MULTI-DIMENSIONAL CORNER, (1971) (16)
Denoising and deblurring images using constrained nonlinear partial differential equation (1993) (16)
s-SMOOTH: Sparsity and Smoothness Enhanced EEG Brain Tomography (2016) (15)
Feature-Oriented Image Enhancement with Shock Filters, 1 (1989) (15)
A Neural Network Approach Applied to Multi-Agent Optimal Control (2020) (15)
Wavelet burst accumulation for turbulence mitigation (2016) (15)
Nonlocal evolutions for image regularization (2007) (15)
Exploring Private Federated Learning with Laplacian Smoothing (2020) (15)
GRAND++: Graph Neural Diffusion with A Source Term (2022) (15)
Iterative Total Variation Regularization with Non-Quadratic Fidelity (2006) (15)
Learn to Predict Equilibria via Fixed Point Networks (2021) (14)
An ill posed problem for a hyperbolic equation near a corner (1973) (14)
Mathematical Analysis of Adversarial Attacks (2018) (14)
EnResNet: ResNet Ensemble via the Feynman-Kac Formalism (2018) (14)
Scientific data interpolation with low dimensional manifold model (2017) (14)
A Novel Method for Enhanced Needle Localization Using Ultrasound-Guidance (2009) (14)
Sparsity Meets Robustness: Channel Pruning for the Feynman-Kac Formalism Principled Robust Deep Neural Nets (2020) (14)
Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for k-Means Clustering (2017) (14)
Revisiting the redistancing problem using the Hopf-Lax formula (2017) (14)
Semi-implicit relaxed Douglas-Rachford algorithm (sDR) for ptychography. (2019) (14)
MR image reconstruction from undersampled data by using the iterative refinement procedure (2007) (14)
Numerical Methods for a One-Dimensional Interface Separating Compressible and Incompressible Flows (1998) (14)
Multigrid Narrow Band Surface Reconstruction via Level Set Functions (2012) (14)
Propagation of error into regions of smoothness for non-linear approximations to hyperbolic equations (1990) (14)
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Improving Transformers with Probabilistic Attention Keys (2021) (13)
Level Set Based Simulations of Two-Phase Oil–Water Flows in Pipes (2006) (13)
A Neural Network Approach for High-Dimensional Optimal Control (2021) (13)
Assessment and mitigation of radiation, EMP, debris & shrapnel impacts at megajoule-class laser facilities (2010) (13)
Level set and PDE methods for computer graphics (2004) (13)
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Slope and $G$-set characterization of set-valued functions and applications to non-differentiable optimization problems (2005) (13)
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Density matrix minimization with $\ell_1$ regularization (2014) (12)
Computational Methods for First-Order Nonlocal Mean Field Games with Applications (2021) (12)
From Landmark Matching to Shape and Open Curve Matching: A Level Set Approach (2002) (12)
Structure-Texture Decomposition by a TV-Gabor Model (2005) (12)
Triangle based TVD schemes for hyperbolic conservation laws. Final report (1990) (12)
Multi-Channel $l_{1}$ Regularized Convex Speech Enhancement Model and Fast Computation by the Split Bregman Method (2012) (12)
Mean field control problems for vaccine distribution (2021) (12)
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A Convex Model for Matrix Factorization and Dimensionality Reduction on Physical Space and Its Application to Blind Hyperspectral Unmixing (2010) (11)
A Neural Network Approach for High-Dimensional Optimal Control Applied to Multiagent Path Finding (2021) (11)
Optimal Data Collection for Improved Rankings Expose Well-Connected Graphs (2012) (11)
Hyperspectral unmixing by the alternating direction method of multipliers (2015) (11)
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Compressed plane waves - compactly supported multiresolution basis for the Laplace operator (2013) (10)
A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems (2017) (10)
Gradient Based Optimization Methods for Metamaterial Design (2013) (10)
Partial differential equations for training deep neural networks (2017) (10)
Essentially Non-Oscillatory Adaptive Tree Methods (2008) (10)
Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning (2019) (10)
Segmentation for Hyperspectral Images with Priors (2010) (10)
On a mathematical theory of coded exposure (2016) (10)
Geometric mode decomposition (2018) (10)
Level Set Based Surface Capturing in 3D Medical Images (2008) (10)
Book Review: Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science (2001) (10)
Wasserstein-Based Projections with Applications to Inverse Problems (2022) (10)
Log-unbiased large-deformation image registration (2016) (9)
WEIGHTED GRAPH LAPLACIAN AND IMAGE INPAINTING (2016) (9)
Shearlet-TGV Based Fluorescence Microscopy Image Deconvolution (2014) (9)
Dynamic Visibility in an Implicit Framework (2007) (9)
Error estimation of weighted nonlocal Laplacian on random point cloud (2018) (9)
Image filling-in in a decomposition space (2003) (9)
Controlling Propagation of epidemics via mean-field games (2020) (9)
Mesh Refinements for the Heat Equation (1970) (9)
Treatment of supersonic flows with embedded subsonic regions (1985) (9)
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Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo (2019) (8)
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Shock modelling in transonic and supersonic flow (1985) (8)
Generalized Unnormalized Optimal Transport and its fast algorithms (2020) (8)
A Compressive Sensing Algorithm for Many-Core Architectures (2010) (8)
Computational Anatomy and Implicit Object Representation: A Level Set Approach (2003) (8)
Improving Transformer with an Admixture of Attention Heads (2022) (8)
Parallel redistancing using the Hopf-Lax formula (2018) (8)
Nonlinear regularizations of TV based PDEs for image processing (2004) (8)
Controlling conservation laws I: entropy-entropy flux (2021) (8)
Edge-Enhanced Image Reconstruction Using (TV) Total Variation and Bregman Refinement (2009) (8)
Compressed Wannier modes found from an $L_1$ regularized energy functional (2014) (7)
Boundary value problems for equations of mixed type I. the lavrent'ev - bitsadze model (1977) (7)
Computational methods for nonlocal mean field games with applications (2020) (7)
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery (2009) (7)
Generalized proximal smoothing (GPS) for phase retrieval. (2018) (7)
On the Completeness of the Compressed Modes in the Eigenspace (2013) (7)
Multiphase Segmentation of Deformation using Logarithmic Priors (2007) (7)
Modeling Environmental Crime in Protected Areas Using the Level Set Method (2018) (7)
Noise attenuation in a low-dimensional manifold (2017) (7)
Large Deformation Unbiased Diffeomorphic Nonlinear Image Registration: Theory and Implementation (2006) (7)
Smoothing for spectral methods (1982) (7)
Reducing musical noise in blind source separation by time-domain sparse filters and split bregman method (2010) (7)
A Model for Optimal Human Navigation with Stochastic Effects (2020) (7)
Space-Time Regularization for Video Decompression (2015) (7)
LOW DIMENSIONAL MANIFOLD MODEL WITH SEMI-LOCAL PATCHES (2016) (7)
Differentially Private Federated Learning with Laplacian Smoothing (2020) (7)
Joint Sensing Task Assignment and Collision-Free Trajectory Optimization for Mobile Vehicle Networks Using Mean-Field Games (2021) (6)
A Harmonic Extension Approach for Collaborative Ranking (2016) (6)
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Optimal human navigation in steep terrain: a Hamilton–Jacobi–Bellman approach (2018) (6)
Deep Learning with Data Dependent Implicit Activation Function (2018) (6)
Real-Time Adaptive Video Compression (2015) (6)
Fast edge-filtered image upsampling (2011) (6)
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FourierFormer: Transformer Meets Generalized Fourier Integral Theorem (2022) (6)
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Computational mean-field information dynamics associated with reaction-diffusion equations (2021) (6)
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A Dirichlet Energy Criterion for Graph-Based Image Segmentation (2015) (6)
Level Set Based Eulerian Methods For Multivalued Traveltimes In Both Isotropic And Anisotropic Media (2003) (6)
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Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training (2021) (5)
Sparse Recovery via l1 and L1 Optimization (2014) (5)
Nonlocal Total Variation with Primal Dual Algorithm and Stable Simplex Clustering in Unsupervised Hyperspectral Imagery Analysis (2015) (5)
Energy-Efficient Velocity Control for Massive Numbers of UAVs: A Mean Field Game Approach (2022) (5)
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A New Regularization Path for Logistic Regression via Linearized Bregman (2012) (5)
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Crashing waves, awesome explosions, turbulent smoke and beyond: applied mathematics and scientiﬁc computing in the visual effects industry (2009) (5)
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EnResNet: ResNets Ensemble via the Feynman-Kac Formalism for Adversarial Defense and Beyond (2020) (5)
A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem (2022) (5)
A Fast Proximal Gradient Method and Convergence Analysis for Dynamic Mean Field Planning (2021) (4)
Ptychographic coherent diffractive imaging for attosecond pulses. (2019) (4)
Scalable Low Dimensional Manifold Model In The Reconstruction Of Noisy And Incomplete Hyperspectral Images (2016) (4)
A HIGH ORDER ESSENTIALLY NON-OSCILLATORY SHOCK CAPTURING METHOD (1987) (4)
Momentum Transformer: Closing the Performance Gap Between Self-attention and Its Linearization (2022) (4)
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Nonconvex Scalar Conservation Laws in One and Two Space Dimensions (1989) (4)
HYPERBOLIC EQUATIONS IN REGIONS WITH CHARACTERISTIC BOUNDARIES OR WITH CORNERS (1976) (4)
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Low dimensional manifold model in hyperspectral image reconstruction (2016) (4)
Penalty Method for General Obstacle Problems (4)
A New Discontinuous Galerkin Method for Hamilton-Jacobi Equations (2010) (4)
New framework for object warping: semi-Lagrangian level set approach (2003) (4)
Splitting Enables Overcoming the Curse of Dimensionality (2016) (4)
How does momentum benefit deep neural networks architecture design? A few case studies (2021) (4)
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Vectorial non-local total variation regularization for calibration-free parallel MRI reconstruction (2015) (3)
Image super-resolution by TV-regularization (2007) (3)
Linearized Bregman for l 1-regularized Logistic Regression (2013) (3)
Task Selection and Collision-Free Route Planning for Mobile Crowdsensing Using Multi-Population Mean-Field Games (2021) (3)
Extrapolation in the Normal Direction (2003) (3)
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Energy-efficient Velocity Control for Massive Numbers of Rotary-Wing UAVs: A Mean Field Game Approach (2020) (3)
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Pre-processing and classification of hyperspectral imagery via selective inpainting (2017) (3)
Model Classes, Approximation, and Metrics for Dynamic Processing of Urban Terrain Data (2013) (3)
RESIRE: real space iterative reconstruction engine for Tomography (2020) (3)
Improving Generative Flow Networks with Path Regularization (2022) (3)
Constrained dynamical optimal transport and its Lagrangian formulation (2018) (3)
The Lax–Friedrichs sweeping method for optimal control problems in continuous and hybrid dynamics (2005) (3)
Energy-efﬁcient Velocity Control for Massive Rotary-Wing UAVs: A Mean Field Game Approach (2019) (2)
Projection to the Set of Shift Orthogonal Functions (2014) (2)
Belief and Opinion Evolution in Social Networks: A High-Dimensional Mean Field Game Approach (2021) (2)
Discontinuous Galerkin Level Set Method for Interface Capturing (2012) (2)
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Maximum Norm Stability for Parabolic Difference Schemes in Half-Space (1970) (2)
The Geometry of Wul Crystal Shapes and ItsRelations with Riemann Problems (1998) (2)
Regularized Wulff Flows , Nonconvex Energies and Backwards Parabolic Equations (2004) (2)
A crystal symmetry-invariant Kobayashi--Warren--Carter grain boundary model and its implementation using a thresholding algorithm (2021) (2)
Projecting to Manifolds via Unsupervised Learning (2020) (2)
Island-Size Distributions for Submonolayer Epitaxy: Rate Equations and Beyond (1998) (2)
Multimodal unbiased image matching via mutual information (2008) (2)
A Nonlinear PDE-Based Method for Sparse Deconvolution (2010) (2)
Image Resolution Enhancement and its applications to Medical Image Processing (2008) (2)
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A note on the Bregmanized Total Variation and dual forms (2009) (2)
Essentially nonoscillatory postprocessing filtering methods (1993) (2)
A Probabilistic Framework for Pruning Transformers Via a Finite Admixture of Keys (2023) (2)
Motion Involving Mean Curvature (2003) (2)
Task Selection and Route Planning for Mobile Crowd Sensing Using Multi-Population Mean-Field Games (2021) (2)
FAST ALGORITHMS FOR GENERALIZED UNNORMALIZED OPTIMAL TRANSPORT (2019) (2)
A FAST PRIMAL-DUAL METHOD FOR THE OBSTACLE PROBLEM (2015) (2)
Direct observation of 3D topological spin textures and their interactions using soft x-ray vector ptychography (2021) (2)
Accelerated high-resolution EEG source imaging (2017) (2)
Snakes, Active Contours, and Segmentation (2003) (2)
Motion in an Externally Generated Velocity Field (2003) (2)
Advances in Inverse Lithography (2022) (2)
Transformer with Fourier Integral Attentions (2022) (2)
Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton–Jacobi Equations Arising From Optimal Control and Differential Games Problems (2017) (2)
A primal-dual approach for solving conservation laws with implicit in time approximations (2022) (2)
Improvements in computing multiple phase flows (1997) (1)
Finite difference methods for the nonlinear equations of perturbed geometrical optics (1996) (1)
Noisy Sparsity Recovery via Differential Equations (2014) (1)
High resolution schemes for Euler equations (1983) (1)
A Neural Network Approach for Real-Time High-Dimensional Optimal Control (2021) (1)
A Deterministic Gradient-Based Approach to Avoid Saddle Points. (2019) (1)
Weighted Nonlocal Laplacian on Interpolation from Sparse Data (2017) (1)
Detail-preserving Fluorescence Microscopy Image Deconvolution (2016) (1)
IMAGE RECONSTRUCTION IN COMPRESSED REMOTE SENSING WITH LOW-RANK AND L1-NORM REGULARIZATION (2012) (1)
A Hamilton–Jacobi-based proximal operator (2022) (1)
Improving Neural Ordinary Differential Equations with Nesterov's Accelerated Gradient Method (2022) (1)
Large-scale computations in fluid mechanics : Proceedings of the fifteenth AMS-SIAM summer seminar on applied mathematics held at Scripps Institution of Oceanography (1985) (1)
Convexity and fast speech extraction by split bregman method (2010) (1)
A Level Set Based Geometrical Eulerian Approach to Computing High Frequency Radar Cross Sections and Multiphase Semiclassical Limits of the Schrodinger Equation (2008) (1)
High order computation of optimal transport, mean field planning, and mean field games (2023) (1)
Liquid-Gas Interactions (2003) (1)
A fast multiphase level set algorithm for solving the Chan‐Vese model (2007) (1)
The Multigrid Image Transform (2007) (1)
Deep Neural Networks with Data Dependent Implicit Activation Function (2018) (1)
Laplacian Smooth Gradient Descent (2019) (1)
A convex model and L1 minimization for musical noise reduction in blind source separation (2012) (1)
Motion in the Normal Direction (2003) (1)
An Adaptive Levelset Method for Computing Solutions to Incompressible Two-Phase Flows (1997) (1)
Compressed modes for variational problems in mathematical physics and compactly supported multiresolution basis for the Laplace operator (2014) (1)
A Harmonic Extension Approach for Collaborative Ranking - eScholarship (2016) (1)
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Optimal Transport of Nonlinear Control-Afﬁne Systems (2020) (1)
Parameter Inference of Time Series by Delay Embeddings and Learning Differentiable Operators (2022) (1)
Generalized Proximal Smoothing for Phase Retrieval (2019) (1)
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Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising (2018) (0)
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Determining Fluid Reservoir Connectivity and Content Using Functionalized Nanowire Probes (2019) (0)
Room temperature rectification in tapered-channel thermal diodes through nanoscale confinement-induced liquid–solid phase change (2021) (0)
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HYPERSPECTRAL UNMIXING BY BREGMAN SPLITTING CONSTRAINT ENFORCEMENT (2013) (0)
Compressed Sensing for Active Feedback Contrast-Enhanced In Vivo Tumor Imaging (2008) (0)
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Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model (2017) (0)
MINIMIZATION FOR MUSICAL NOISE REDUCTION IN BLIND SOURCE SEPARATION (2011) (0)
DP-LSSGD: An Optimization Method to Lift the Utility in Privacy-Preserving ERM (2019) (0)
Deep relaxation: partial differential equations for optimizing deep neural networks (2018) (0)
Reconstruction of Surfaces from Unorganized Data Points (2003) (0)

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