4.6 Article

Modern regularization methods for inverse problems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging

Julian Rasch et al.

INVERSE PROBLEMS (2018)

Article Radiology, Nuclear Medicine & Medical Imaging

Learning a variational network for reconstruction of accelerated MRI data

Kerstin Hammernik et al.

MAGNETIC RESONANCE IN MEDICINE (2018)

Article Mathematics, Applied

Inverse scale space decomposition

Marie Foged Schmidt et al.

INVERSE PROBLEMS (2018)

Article Mathematics, Applied

Blind image fusion for hyperspectral imaging with the directional total variation

Leon Bungert et al.

INVERSE PROBLEMS (2018)

Article Mathematics, Applied

Injectivity and weak*-to-weak continuity suffice for convergence rates in l1-regularization

Jens Flemming et al.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2018)

Article Computer Science, Artificial Intelligence

An Anisotropic Inf-Convolution BV Type Model for Dynamic Reconstruction

Maitine Bergounioux et al.

SIAM JOURNAL ON IMAGING SCIENCES (2018)

Article Mathematics, Applied

Support Recovery for Sparse Super-Resolution of Positive Measures

Quentin Denoyelle et al.

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS (2017)

Article Computer Science, Artificial Intelligence

Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models

J. C. De los Reyes et al.

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2017)

Article Computer Science, Interdisciplinary Applications

Joint MR-PET Reconstruction Using a Multi-Channel Image Regularizer

Florian Knoll et al.

IEEE TRANSACTIONS ON MEDICAL IMAGING (2017)

Article Computer Science, Artificial Intelligence

Trainable Nonlinear Reaction Diffusion: A Flexible Framework for Fast and Effective Image Restoration

Yunjin Chen et al.

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE (2017)

Article Mathematics, Applied

Convergence rates for regularization functionals with polyconvex integrands

Clemens Kirisits et al.

INVERSE PROBLEMS (2017)

Article Computer Science, Artificial Intelligence

Bias Reduction in Variational Regularization

Eva-Maria Brinkmann et al.

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2017)

Article Mathematics, Applied

A Globally Convergent Algorithm for Nonconvex Optimization Based on Block Coordinate Update

Yangyang Xu et al.

JOURNAL OF SCIENTIFIC COMPUTING (2017)

Article Operations Research & Management Science

A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications

Heinz H. Bauschke et al.

MATHEMATICS OF OPERATIONS RESEARCH (2017)

Article Operations Research & Management Science

Proximal-gradient algorithms for fractional programming

Radu Ioan Bot et al.

OPTIMIZATION (2017)

Article Computer Science, Artificial Intelligence

Infimal Convolution of Data Discrepancies for Mixed Noise Removal

Luca Calatroni et al.

SIAM JOURNAL ON IMAGING SCIENCES (2017)

Article Computer Science, Artificial Intelligence

Multiscale Segmentation via Bregman Distances and Nonlinear Spectral Analysis

Leonie Zeune et al.

SIAM JOURNAL ON IMAGING SCIENCES (2017)

Article Computer Science, Artificial Intelligence

The Little Engine That Could: Regularization by Denoising (RED)

Yaniv Romano et al.

SIAM JOURNAL ON IMAGING SCIENCES (2017)

Article Computer Science, Artificial Intelligence

CLEAR: Covariant LEAst-Square Refitting with Applications to Image Restoration

Charles-Alban Deledalle et al.

SIAM JOURNAL ON IMAGING SCIENCES (2017)

Article Mathematics, Applied

CHARACTERIZATIONS OF VARIATIONAL SOURCE CONDITIONS, CONVERSE RESULTS, AND MAXISETS OF SPECTRAL REGULARIZATION METHODS

Thorsten Hohage et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2017)

Proceedings Paper Computer Science, Theory & Methods

Nonlinear Spectral Image Fusion

Martin Benning et al.

SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, SSVM 2017 (2017)

Proceedings Paper Computer Science, Theory & Methods

Learning Filter Functions in Regularisers by Minimising Quotients

Martin Benning et al.

SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, SSVM 2017 (2017)

Article Statistics & Probability

NONPARAMETRIC BAYESIAN POSTERIOR CONTRACTION RATES FOR DISCRETELY OBSERVED SCALAR DIFFUSIONS

Richard Nickl et al.

ANNALS OF STATISTICS (2017)

Article Computer Science, Artificial Intelligence

Some Remarks on the Staircasing Phenomenon in Total Variation-Based Image Denoising

Khalid Jalalzai

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2016)

Article Operations Research & Management Science

Mathematical Analysis of a Inf-Convolution Model for Image Processing

M. Bergounioux

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2016)

Article Computer Science, Interdisciplinary Applications

PET Reconstruction With an Anatomical MRI Prior Using Parallel Level Sets

Matthias J. Ehrhardt et al.

IEEE TRANSACTIONS ON MEDICAL IMAGING (2016)

Article Mathematics, Applied

A unified approach to convergence rates for l1-regularization and lacking sparsity

Jens Flemming et al.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2016)

Article Mathematics, Applied

The structure of optimal parameters for image restoration problems

J. C. De Los Reyes et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2016)

Article Computer Science, Artificial Intelligence

Infimal Convolution Regularisation Functionals of BV and Spaces

Martin Burger et al.

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2016)

Article Computer Science, Artificial Intelligence

Nonlinear Spectral Analysis via One-Homogeneous Functionals: Overview and Future Prospects

Guy Gilboa et al.

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2016)

Article Computer Science, Artificial Intelligence

Inertial Proximal Alternating Linearized Minimization (iPALM) for Nonconvex and Nonsmooth Problems

Thomas Pock et al.

SIAM JOURNAL ON IMAGING SCIENCES (2016)

Article Computer Science, Artificial Intelligence

Spectral Decompositions Using One-Homogeneous Functionals

Martin Burger et al.

SIAM JOURNAL ON IMAGING SCIENCES (2016)

Article Computer Science, Artificial Intelligence

Multicontrast MRI Reconstruction with Structure-Guided Total Variation

Matthias J. Ehrhardt et al.

SIAM JOURNAL ON IMAGING SCIENCES (2016)

Article Mathematics, Applied

VARIABLE METRIC INEXACT LINE-SEARCH-BASED METHODS FOR NONSMOOTH OPTIMIZATION

S. Bonettini et al.

SIAM JOURNAL ON OPTIMIZATION (2016)

Article Computer Science, Artificial Intelligence

Fast retinal vessel analysis

Michael Krause et al.

JOURNAL OF REAL-TIME IMAGE PROCESSING (2016)

Proceedings Paper Automation & Control Systems

Bregman Distances in Inverse Problems and Partial Differential Equations

Martin Burger

ADVANCES IN MATHEMATICAL MODELING, OPTIMIZATION AND OPTIMAL CONTROL (2016)

Proceedings Paper Physics, Applied

On the constrained minimization of smooth Kurdyka-Lojasiewicz functions with the scaled gradient projection method

Marco Prato et al.

6TH INTERNATIONAL WORKSHOP ON NEW COMPUTATIONAL METHODS FOR INVERSE PROBLEMS (2016)

Article Computer Science, Artificial Intelligence

Variational Depth From Focus Reconstruction

Michael Moeller et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2015)

Article Mathematics, Applied

BILEVEL OPTIMIZATION FOR CALIBRATING POINT SPREAD FUNCTIONS IN BLIND DECONVOLUTION

Michael Hintermueller et al.

INVERSE PROBLEMS AND IMAGING (2015)

Article Mathematics, Applied

LOCALLY SPARSE RECONSTRUCTION USING THE l1,∞-NORM

Pia Heins et al.

INVERSE PROBLEMS AND IMAGING (2015)

Review Multidisciplinary Sciences

Deep learning

Yann LeCun et al.

NATURE (2015)

Article Computer Science, Artificial Intelligence

A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part I: Analytics

Kristian Bredies et al.

SIAM JOURNAL ON IMAGING SCIENCES (2015)

Article Computer Science, Artificial Intelligence

A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part II: Numerics

Kristian Bredies et al.

SIAM JOURNAL ON IMAGING SCIENCES (2015)

Article Mathematics, Applied

GLOBAL CONVERGENCE OF SPLITTING METHODS FOR NONCONVEX COMPOSITE OPTIMIZATION

Guoyin Li et al.

SIAM JOURNAL ON OPTIMIZATION (2015)

Article Mathematics, Applied

On l1-Regularization in Light of Nashed's Ill-Posedness Concept

Jens Flemming et al.

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS (2015)

Article Radiology, Nuclear Medicine & Medical Imaging

Low-Rank Plus Sparse Matrix Decomposition for Accelerated Dynamic MRI with Separation of Background and Dynamic Components

Ricardo Otazo et al.

MAGNETIC RESONANCE IN MEDICINE (2015)

Article Statistics & Probability

ON THE BERNSTEIN-VON MISES PHENOMENON FOR NONPARAMETRIC BAYES PROCEDURES

Ismael Castillo et al.

ANNALS OF STATISTICS (2014)

Article Mathematics, Applied

Towards a Mathematical Theory of Super- resolution

Emmanuel J. Candes et al.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2014)

Article Computer Science, Artificial Intelligence

Vector-Valued Image Processing by Parallel Level Sets

Matthias Joachim Ehrhardt et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2014)

Article Computer Science, Artificial Intelligence

Insights Into Analysis Operator Learning: From Patch-Based Sparse Models to Higher Order MRFs

Yunjin Chen et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2014)

Article Mathematics, Applied

Analysis of regularized inversion of data corrupted by white Gaussian noise

Hanne Kekkonen et al.

INVERSE PROBLEMS (2014)

Article Mathematics, Applied

Regularization of linear inverse problems with total generalized variation

Kristian Bredies et al.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2014)

Article Biochemical Research Methods

Phase reconstruction from velocity-encoded MRI measurements - A survey of sparsity-promoting variational approaches

Martin Benning et al.

JOURNAL OF MAGNETIC RESONANCE (2014)

Article Computer Science, Artificial Intelligence

A Combined First and Second Order Variational Approach for Image Reconstruction

K. Papafitsoros et al.

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2014)

Article Computer Science, Software Engineering

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

Jerome Bolte et al.

MATHEMATICAL PROGRAMMING (2014)

Article Computer Science, Artificial Intelligence

Color Bregman TV

Michael Moeller et al.

SIAM JOURNAL ON IMAGING SCIENCES (2014)

Article Computer Science, Artificial Intelligence

A Total Variation Spectral Framework for Scale and Texture Analysis

Guy Gilboa

SIAM JOURNAL ON IMAGING SCIENCES (2014)

Article Computer Science, Artificial Intelligence

On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction

Martin Holler et al.

SIAM JOURNAL ON IMAGING SCIENCES (2014)

Article Computer Science, Artificial Intelligence

iPiano: Inertial Proximal Algorithm for Nonconvex Optimization

Peter Ochs et al.

SIAM JOURNAL ON IMAGING SCIENCES (2014)

Article Mathematics, Applied

Local behavior of sparse analysis regularization: Applications to risk estimation

Samuel Vaiter et al.

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS (2013)

Article Mathematics, Applied

Infimal convolution regularizations with discrete ℓ1-type functionals

S. Setzer et al.

Communications in Mathematical Sciences (2013)

Article Automation & Control Systems

INVERSE PROBLEMS IN SPACES OF MEASURES

Kristian Bredies et al.

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2013)

Article Computer Science, Information Systems

Robust Sparse Analysis Regularization

Samuel Vaiter et al.

IEEE TRANSACTIONS ON INFORMATION THEORY (2013)

Article Mathematics, Applied

MAP estimators and their consistency in Bayesian nonparametric inverse problems

M. Dashti et al.

INVERSE PROBLEMS (2013)

Article Mathematics, Applied

SEISMIC DATA RECONSTRUCTION VIA MATRIX COMPLETION

Yi Yang et al.

INVERSE PROBLEMS AND IMAGING (2013)

Article Mathematics, Applied

IMAGE DENOISING: LEARNING THE NOISE MODEL VIA NONSMOOTH PDE-CONSTRAINED OPTIMIZATION

Juan Carlos De los Reyes et al.

INVERSE PROBLEMS AND IMAGING (2013)

Article Mathematics, Applied

Super-Resolution from Noisy Data

Emmanuel J. Candes et al.

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS (2013)

Article Mathematics, Applied

Variational smoothness assumptions in convergence rate theory-an overview

Jens Flemming

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2013)

Article Mathematics, Applied

Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces

Markus Grasmair

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2013)

Article Mathematics, Applied

Higher-Order TV Methods-Enhancement via Bregman Iteration

Martin Benning et al.

JOURNAL OF SCIENTIFIC COMPUTING (2013)

Article Computer Science, Artificial Intelligence

Regularization Properties of Mumford-Shah-Type Functionals with Perimeter and Norm Constraints for Linear Ill-Posed Problems

Esther Klann et al.

SIAM JOURNAL ON IMAGING SCIENCES (2013)

Article Computer Science, Artificial Intelligence

A Bilevel Optimization Approach for Parameter Learning in Variational Models

Karl Kunisch et al.

SIAM JOURNAL ON IMAGING SCIENCES (2013)

Article Computer Science, Artificial Intelligence

A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion

Yangyang Xu et al.

SIAM JOURNAL ON IMAGING SCIENCES (2013)

Article Mathematics, Applied

MULTISCALE METHODS FOR POLYHEDRAL REGULARIZATIONS

Michael Moeller et al.

SIAM JOURNAL ON OPTIMIZATION (2013)

Article Mathematics, Applied

A HYPERELASTIC REGULARIZATION ENERGY FOR IMAGE REGISTRATION

Martin Burger et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2013)

Article Computer Science, Artificial Intelligence

Higher Degree Total Variation (HDTV) Regularization for Image Recovery

Yue Hu et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2012)

Article Computer Science, Interdisciplinary Applications

Separate Magnitude and Phase Regularization via Compressed Sensing

Feng Zhao et al.

IEEE TRANSACTIONS ON MEDICAL IMAGING (2012)

Article Mathematics, Applied

Sparsity-promoting Bayesian inversion

V. Kolehmainen et al.

INVERSE PROBLEMS (2012)

Article Physics, Multidisciplinary

Exploring the Origins of Turbulence in Multiphase Flow Using Compressed Sensing MRI

Alexander B. Tayler et al.

PHYSICAL REVIEW LETTERS (2012)

Article Computer Science, Artificial Intelligence

A Variational Approach for Sharpening High Dimensional Images

Michael Moeller et al.

SIAM JOURNAL ON IMAGING SCIENCES (2012)

Article Mathematics, Applied

Necessary and Sufficient Conditions for Linear Convergence of l1-Regularization

Markus Grasmair et al.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2011)

Article Computer Science, Interdisciplinary Applications

REDMAPS: Reduced-Dimensionality Matching for Prostate Brachytherapy Seed Reconstruction

Junghoon Lee et al.

IEEE TRANSACTIONS ON MEDICAL IMAGING (2011)

Article Computer Science, Artificial Intelligence

Primal and Dual Bregman Methods with Application to Optical Nanoscopy

Christoph Brune et al.

INTERNATIONAL JOURNAL OF COMPUTER VISION (2011)

Article Mathematics, Applied

Hierarchical models in statistical inverse problems and the Mumford-Shah functional

T. Helin et al.

INVERSE PROBLEMS (2011)

Article Mathematics, Applied

A MUMFORD-SHAH LEVEL-SET APPROACH FOR THE INVERSION AND SEGMENTATION OF SPECT/CT DATA

Esther Klann et al.

INVERSE PROBLEMS AND IMAGING (2011)

Article Computer Science, Artificial Intelligence

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging

Antonin Chambolle et al.

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2011)

Article Computer Science, Hardware & Architecture

Robust Principal Component Analysis?

Emmanuel J. Candes et al.

JOURNAL OF THE ACM (2011)

Article Radiology, Nuclear Medicine & Medical Imaging

Second Order Total Generalized Variation (TGV) for MRI

Florian Knoll et al.

MAGNETIC RESONANCE IN MEDICINE (2011)

Article Mathematics, Applied

DESIGNING OPTIMAL SPECTRAL FILTERS FOR INVERSE PROBLEMS

Julianne Chung et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2011)

Article Mathematics, Applied

Radon transform inversion using the shearlet representation

Flavia Colonna et al.

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS (2010)

Article Mathematics, Applied

Anisotropic Total Variation Filtering

Markus Grasmair et al.

APPLIED MATHEMATICS AND OPTIMIZATION (2010)

Article Geochemistry & Geophysics

Regularization of linear and non-linear geophysical ill-posed problems with joint sparsity constraints

A. Gholami et al.

GEOPHYSICAL JOURNAL INTERNATIONAL (2010)

Article Biochemical Research Methods

Reducing data acquisition times in phase-encoded velocity imaging using compressed sensing

D. J. Holland et al.

JOURNAL OF MAGNETIC RESONANCE (2010)

Article Operations Research & Management Science

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality

Hedy Attouch et al.

MATHEMATICS OF OPERATIONS RESEARCH (2010)

Article Mathematics, Applied

A New Approach to Source Conditions in Regularization with General Residual Term

Jens Flemming et al.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2010)

Article Computer Science, Artificial Intelligence

A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science

Ernie Esser et al.

SIAM JOURNAL ON IMAGING SCIENCES (2010)

Article Computer Science, Artificial Intelligence

Analysis and Generalizations of the Linearized Bregman Method

Wotao Yin

SIAM JOURNAL ON IMAGING SCIENCES (2010)

Article Computer Science, Artificial Intelligence

Total Generalized Variation

Kristian Bredies et al.

SIAM JOURNAL ON IMAGING SCIENCES (2010)

Article Mathematics, Applied

A SINGULAR VALUE THRESHOLDING ALGORITHM FOR MATRIX COMPLETION

Jian-Feng Cai et al.

SIAM JOURNAL ON OPTIMIZATION (2010)

Article Mathematics

CHARACTERIZATIONS OF LOJASIEWICZ INEQUALITIES: SUBGRADIENT FLOWS, TALWEG, CONVEXITY

Jerome Bolte et al.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2010)

Article Computer Science, Theory & Methods

Exact Matrix Completion via Convex Optimization

Emmanuel J. Candes et al.

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (2009)

Article Mathematics, Applied

Iterative total variation schemes for nonlinear inverse problems

Markus Bachmayr et al.

INVERSE PROBLEMS (2009)

Article Mathematics, Applied

DISCRETIZATION-INVARIANT BAYESIAN INVERSION AND BESOV SPACE PRIORS

Matti Lassas et al.

INVERSE PROBLEMS AND IMAGING (2009)

Article Mathematics, Applied

CONVERGENCE OF THE LINEARIZED BREGMAN ITERATION FOR l1-NORM MINIMIZATION

Jian-Feng Cai et al.

MATHEMATICS OF COMPUTATION (2009)

Article Mathematics, Applied

LINEARIZED BREGMAN ITERATIONS FOR COMPRESSED SENSING

Jian-Feng Cai et al.

MATHEMATICS OF COMPUTATION (2009)

Article Mathematics, Applied

ITERATIVELY REGULARIZED GAUSS-NEWTON METHOD FOR NONLINEAR INVERSE PROBLEMS WITH RANDOM NOISE

Frank Bauer et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)

Article Computer Science, Software Engineering

On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

Hedy Attouch et al.

MATHEMATICAL PROGRAMMING (2009)

Article Mathematics, Applied

On inverse problems in secondary oil recovery

Victor Isakov

EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2008)

Article Mathematics, Applied

Reconstruction in the inverse crack problem by variational methods

Luca Rondi

EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2008)

Article Computer Science, Artificial Intelligence

Noise and signal estimation in magnitude MRI and Rician distributed images:: A LMMSE approach

Santiago Aja-Fernandez et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2008)

Article Mathematics, Applied

Nonparametric statistical inverse problems

L. Cavalier

INVERSE PROBLEMS (2008)

Article Mathematics, Applied

FAST DUAL MINIMIZATION OF THE VECTORIAL TOTAL VARIATION NORM AND APPLICATIONS TO COLOR IMAGE PROCESSING

Xavier Bresson et al.

INVERSE PROBLEMS AND IMAGING (2008)

Article Mathematics, Applied

A note on logarithmic convergence rates for nonlinear Tikhonov regularization

B. Kaltenbacher

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2008)

Article Mathematics, Applied

Convergence results for the Bayesian inversion theory

A. Neubauer et al.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2008)

Article Mathematics, Applied

Image Super-Resolution by TV-Regularization and Bregman Iteration

Antonio Marquina et al.

JOURNAL OF SCIENTIFIC COMPUTING (2008)

Article Engineering, Chemical

Spatially resolved measurement of anisotropic granular temperature in gas-fluidized beds

D. J. Holland et al.

POWDER TECHNOLOGY (2008)

Article Mathematics, Applied

A variational approach to removing multiplicative noise

Gilles Aubert et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2008)

Article Imaging Science & Photographic Technology

Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing

Wotao Yin et al.

SIAM Journal on Imaging Sciences (2008)

Article Mathematics, Applied

Recovery algorithms for vector-valued data with joint sparsity constraints

Massimo Fornasier et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2008)

Article Mathematics, Applied

MODEL REDUCTION FOR LARGE-SCALE SYSTEMS WITH HIGH-DIMENSIONAL PARAMETRIC INPUT SPACE

T. Bui-Thanh et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2008)

Article Mathematics, Applied

Total variation regularization for image denoising, I. Geometric theory

William K. Allard

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2007)

Article Radiology, Nuclear Medicine & Medical Imaging

Sparse MRI: The application of compressed sensing for rapid MR imaging

Michael Lustig et al.

MAGNETIC RESONANCE IN MEDICINE (2007)

Article Computer Science, Theory & Methods

Error estimation for Bregman iterations and inverse scale space methods in image restoration

M. Burger et al.

COMPUTING (2007)

Article Mathematics, Applied

A variational formulation for frame-based inverse problems

Caroline Chaux et al.

INVERSE PROBLEMS (2007)

Article Mathematics, Applied

Analysis versus synthesis in signal priors

Michael Elad et al.

INVERSE PROBLEMS (2007)

Article Mathematics, Applied

Sparsity and incoherence in compressive sampling

Emmanuel Candes et al.

INVERSE PROBLEMS (2007)

Article Mathematics, Interdisciplinary Applications

The discontinuity set of solutions of the TV denoising problem and some extensions

Vicent Caselles et al.

MULTISCALE MODELING & SIMULATION (2007)

Article Mathematics, Interdisciplinary Applications

Inverse total variation flow

M. Burger et al.

MULTISCALE MODELING & SIMULATION (2007)

Article Mathematics, Applied

Convergence rates of general regularization methods for statistical inverse problems and applications

N. Bissantz et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2007)

Article Mathematics, Applied

Optimally sparse multidimensional representation using shearlets

Kanghui Guo et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2007)

Article Computer Science, Information Systems

Near-optimal signal recovery from random projections: Universal encoding strategies?

Emmanuel J. Candes et al.

IEEE TRANSACTIONS ON INFORMATION THEORY (2006)

Article Computer Science, Information Systems

Compressed sensing

DL Donoho

IEEE TRANSACTIONS ON INFORMATION THEORY (2006)

Article Computer Science, Information Systems

Robust uncertainty principles:: Exact signal reconstruction from highly incomplete frequency information

EJ Candès et al.

IEEE TRANSACTIONS ON INFORMATION THEORY (2006)

Article Mathematics, Applied

Nonlinear iterative methods for linear ill-posed problems in Banach spaces

F Schöfer et al.

INVERSE PROBLEMS (2006)

Article Computer Science, Information Systems

Stable recovery of sparse overcomplete representations in the presence of noise

DL Donoho et al.

IEEE TRANSACTIONS ON INFORMATION THEORY (2006)

Article Computer Science, Theory & Methods

Variational methods on the space of functions of bounded Hessian for convexification and denoising

W Hinterberger et al.

COMPUTING (2006)

Article Mathematics, Applied

Error estimates for non-quadratic regularization and the relation to enhancement

Elena Resmerita et al.

INVERSE PROBLEMS (2006)

Article Computer Science, Information Systems

Decoding by linear programming

EJ Candes et al.

IEEE TRANSACTIONS ON INFORMATION THEORY (2005)

Article Radiology, Nuclear Medicine & Medical Imaging

Applications of phase-contrast flow and velocity imaging in cardiovascular MRI

PD Gatehouse et al.

EUROPEAN RADIOLOGY (2005)

Article Mathematics, Applied

Regularization of ill-posed problems in Banach spaces: convergence rates

E Resmerita

INVERSE PROBLEMS (2005)

Article Engineering, Electrical & Electronic

Sparse solutions to linear inverse problems with multiple measurement vectors

SF Cotter et al.

IEEE TRANSACTIONS ON SIGNAL PROCESSING (2005)

Article Mathematics, Applied

Open problems in the qualitative approach to inverse electromagnetic scattering theory

F Cakoni et al.

EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2005)

Article Mathematics, Interdisciplinary Applications

An iterative regularization method for total variation-based image restoration

S Osher et al.

MULTISCALE MODELING & SIMULATION (2005)

Article Computer Science, Artificial Intelligence

Image quality assessment: From error visibility to structural similarity

Z Wang et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2004)

Article Mathematics, Applied

Convergence rates of convex variational regularization

M Burger et al.

INVERSE PROBLEMS (2004)

Article Mathematics, Applied

Total bounded variation regularization as a bilaterally constrained optimization problem

M Hintermuller et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2004)

Article Mathematics, Applied

Learning regularization functionals - a supervised training approach

E Haber et al.

INVERSE PROBLEMS (2003)

Article Operations Research & Management Science

Mirror descent and nonlinear projected subgradient methods for convex optimization

A Beck et al.

OPERATIONS RESEARCH LETTERS (2003)

Article Mathematics, Applied

Edge-preserving and scale-dependent properties of total variation regularization

D Strong et al.

INVERSE PROBLEMS (2003)

Article Mathematics, Applied

Analysis of optical flow models in the framework of the calculus of variations

W Hinterberger et al.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2002)

Article Mathematics, Applied

Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces

HH Bauschke et al.

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2001)

Article Mathematics, Applied

Structural properties of solutions to total variation regularization problems

W Ring

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2000)