Patrick L. Combettes

Audrey Repetti

Proceedings of the IEEE International Conference on Acoustics, 2023

2022

A Variational Inequality Model for the Construction of Signals from Inconsistent Nonlinear Equations.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2022

Multivariate Monotone Inclusions in Saddle Form.

[BibT_eX]

[DOI]

Minh N. Bùi

Math. Oper. Res., 2022

Signal Recovery from Inconsistent Nonlinear Observations.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2022

Block-Activated Algorithms For Multicomponent Fully Nonsmooth Minimization.

[BibT_eX]

[DOI]

Minh N. Bùi

Proceedings of the IEEE International Conference on Acoustics, 2022

2021

Fixed Point Strategies in Data Science.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2021

c-lasso - a Python package for constrained sparse and robust regression and classification.

[BibT_eX]

[DOI]

Léo Simpson

Christian L. Müller

J. Open Source Softw., 2021

Reconstruction of functions from prescribed proximal points.

[BibT_eX]

[DOI]

J. Approx. Theory, 2021

2020

Lipschitz Certificates for Layered Network Structures Driven by Averaged Activation Operators.

[BibT_eX]

[DOI]

SIAM J. Math. Data Sci., 2020

The Douglas-Rachford Algorithm Converges Only Weakly.

[BibT_eX]

[DOI]

Nhut Minh Bùi

SIAM J. Control. Optim., 2020

A Fixed Point Framework for Recovering Signals from Nonlinear Transformations.

[BibT_eX]

[DOI]

Proceedings of the 28th European Signal Processing Conference, 2020

2019

Proximal Activation of Smooth Functions in Splitting Algorithms for Convex Image Recovery.

[BibT_eX]

[DOI]

Lilian E. Glaudin

SIAM J. Imaging Sci., 2019

Learning with optimal interpolation norms.

[BibT_eX]

[DOI]

Numer. Algorithms, 2019

Stochastic quasi-Fejér block-coordinate fixed point iterations with random sweeping II: mean-square and linear convergence.

[BibT_eX]

[DOI]

Math. Program., 2019

Fully Proximal Splitting Algorithms In Image Recovery.

[BibT_eX]

[DOI]

Lilian E. Glaudin

Proceedings of the 27th European Signal Processing Conference, 2019

2018

Consistent learning by composite proximal thresholding.

[BibT_eX]

[DOI]

Saverio Salzo

Silvia Villa

Math. Program., 2018

Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions.

[BibT_eX]

[DOI]

Jonathan Eckstein

Math. Program., 2018

Monotone operator theory in convex optimization.

[BibT_eX]

[DOI]

Math. Program., 2018

Linear Convergence of Stochastic Block-Coordinate Fixed Point Algorithms.

[BibT_eX]

[DOI]

Proceedings of the 26th European Signal Processing Conference, 2018

2017

Classification and Regression Using an Outer Approximation Projection-Gradient Method.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2017

Quasi-Nonexpansive Iterations on the Affine Hull of Orbits: From Mann's Mean Value Algorithm to Inertial Methods.

[BibT_eX]

[DOI]

Lilian E. Glaudin

SIAM J. Optim., 2017

2016

A strongly convergent primal-dual method for nonoverlapping domain decomposition.

[BibT_eX]

[DOI]

Hédy Attouch

Numerische Mathematik, 2016

Stochastic forward-backward and primal-dual approximation algorithms with application to online image restoration.

[BibT_eX]

[DOI]

Proceedings of the 24th European Signal Processing Conference, 2016

2015

Stochastic Quasi-Fejér Block-Coordinate Fixed Point Iterations with Random Sweeping.

[BibT_eX]

[DOI]

SIAM J. Optim., 2015

2014

Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of their Kuhn-Tucker Set.

[BibT_eX]

[DOI]

Abdullah M. Alotaibi

Naseer Shahzad

SIAM J. Optim., 2014

A primal-dual method of partial inverses for composite inclusions.

[BibT_eX]

[DOI]

Optim. Lett., 2014

Preface.

[BibT_eX]

[DOI]

Jean-Baptiste Hiriart-Urruty

Michel Théra

Math. Program., 2014

A forward-backward view of some primal-dual optimization methods in image recovery.

[BibT_eX]

[DOI]

Laurent Condat

Bang Công Vu

Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

2013

Systems of Structured Monotone Inclusions: Duality, Algorithms, and Applications.

[BibT_eX]

[DOI]

SIAM J. Optim., 2013

Moreau's decomposition in Banach spaces.

[BibT_eX]

[DOI]

Noli N. Reyes

Math. Program., 2013

2012

On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2012

2011

A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality.

[BibT_eX]

[DOI]

SIAM J. Optim., 2011

Proximal Algorithms for Multicomponent Image Recovery Problems.

[BibT_eX]

[DOI]

Nelly Pustelnik

J. Math. Imaging Vis., 2011

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

[BibT_eX]

[DOI]

CMS Books in Mathematics, Springer, ISBN: 978-1-4419-9467-7, 2011

Proximal Splitting Methods in Signal Processing.

[BibT_eX]

[DOI]

Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

2010

A Parallel Splitting Method for Coupled Monotone Inclusions.

[BibT_eX]

[DOI]

Hédy Attouch

SIAM J. Control. Optim., 2010

Functions with prescribed best linear approximations.

[BibT_eX]

[DOI]

Noli N. Reyes

J. Approx. Theory, 2010

Proximal method for geometry and texture image decomposition.

[BibT_eX]

[DOI]

Nelly Pustelnik

Proceedings of the International Conference on Image Processing, 2010

Alternating proximal algorithm for blind image recovery.

[BibT_eX]

[DOI]

Jérôme Bolte

Proceedings of the International Conference on Image Processing, 2010

2009

Fejér Monotonicity in Convex Optimization.

[BibT_eX]

[DOI]

Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

Split convex minimization algorithm for signal recovery.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2009

2007

Proximal Thresholding Algorithm for Minimization over Orthonormal Bases.

[BibT_eX]

[DOI]

SIAM J. Optim., 2007

A Douglas-Rachford Splitting Approach to Nonsmooth Convex Variational Signal Recovery.

[BibT_eX]

[DOI]

J. Sel. Topics Signal Processing, 2007

Sparse signal recovery by iterative proximal thresholding.

[BibT_eX]

[DOI]

Proceedings of the 15th European Signal Processing Conference, 2007

2006

Extrapolation algorithm for affine-convex feasibility problems.

[BibT_eX]

[DOI]

Serge G. Kruk

Numer. Algorithms, 2006

A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space.

[BibT_eX]

[DOI]

J. Approx. Theory, 2006

A Decomposition Method for Nonsmooth Convex Variational Signal Recovery.

[BibT_eX]

[DOI]

Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

Iterative image deconvolution using overcomplete representations.

[BibT_eX]

[DOI]

Caroline Chaux

Valérie R. Wajs

Proceedings of the 14th European Signal Processing Conference, 2006

2005

Signal Recovery by Proximal Forward-Backward Splitting.

[BibT_eX]

[DOI]

Valérie R. Wajs

Multiscale Model. Simul., 2005

Parallel Block-Iterative Reconstruction Algorithms for Binary Tomography.

[BibT_eX]

[DOI]

Thomas D. Capricelli

Electron. Notes Discret. Math., 2005

A new generation of iterative transform algorithms for phase contrast tomography.

[BibT_eX]

[DOI]

Proceedings of the 2005 IEEE International Conference on Acoustics, 2005

2004

Image restoration subject to a total variation constraint.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 2004

Proximal Methods for Cohypomonotone Operators.

[BibT_eX]

[DOI]

Teemu Pennanen

SIAM J. Control. Optim., 2004

Finding best approximation pairs relative to two closed convex sets in Hilbert spaces.

[BibT_eX]

[DOI]

J. Approx. Theory, 2004

Wavelet-Constrained Image Restoration.

[BibT_eX]

[DOI]

Int. J. Wavelets Multiresolution Inf. Process., 2004

Theoretical analysis of some regularized image denoising methods.

[BibT_eX]

[DOI]

Valérie R. Wajs

Proceedings of the 2004 International Conference on Image Processing, 2004

Estimating first-order finite-difference information in image restoration problems.

[BibT_eX]

[DOI]

Proceedings of the 2004 International Conference on Image Processing, 2004

Constraint construction in convex set theoretic signal recovery via Stein's principle [image denoising example].

[BibT_eX]

[DOI]

Proceedings of the 2004 IEEE International Conference on Acoustics, 2004

2003

A block-iterative surrogate constraint splitting method for quadratic signal recovery.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2003

Iterating Bregman Retractions.

[BibT_eX]

[DOI]

SIAM J. Optim., 2003

Bregman Monotone Optimization Algorithms.

[BibT_eX]

[DOI]

Jonathan M. Borwein

SIAM J. Control. Optim., 2003

Image deconvolution with total variation bounds.

[BibT_eX]

[DOI]

Proceedings of the Seventh International Symposium on Signal Processing and Its Applications, 2003

Total variation information in image recovery.

[BibT_eX]

[DOI]

Proceedings of the 2003 International Conference on Image Processing, 2003

2002

An adaptive level set method for nondifferentiable constrained image recovery.

[BibT_eX]

[DOI]

Jian Luo

IEEE Trans. Image Process., 2002

On the structure of some phase retrieval algorithms.

[BibT_eX]

[DOI]

Proceedings of the 2002 International Conference on Image Processing, 2002

2001

On the numerical robustness of the parallel projection method in signal synthesis.

[BibT_eX]

[DOI]

IEEE Signal Process. Lett., 2001

A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces.

[BibT_eX]

[DOI]

Math. Oper. Res., 2001

Convex set theoretic image recovery with inexact projection algorithms.

[BibT_eX]

[DOI]

Proceedings of the 2001 International Conference on Image Processing, 2001

2000

Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2000

A level-set subgradient projection algorithm for non-differentiable signal restoration with multiple constraints.

[BibT_eX]

[DOI]

Jian Luo

Proceedings of the IEEE International Conference on Acoustics, 2000

A parallel constraint disintegration and approximation scheme for quadratic signal recovery.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2000

1999

Hard-constrained inconsistent signal feasibility problems.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1999

A subgradient projection algorithm for nondifferentiable signal recovery.

[BibT_eX]

Jian Luo

Proceedings of the IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NSIP'99), 1999

1998

Convex Multiresolution Analysis.

[BibT_eX]

[DOI]

IEEE Trans. Pattern Anal. Mach. Intell., 1998

Nonlinear Multiresolution Image Analysis via Convex Projections.

[BibT_eX]

[DOI]

Proceedings of the 1998 IEEE International Conference on Image Processing, 1998

A block-iterative quadratic signal recovery algorithm.

[BibT_eX]

[DOI]

Proceedings of the 1998 IEEE International Conference on Acoustics, 1998

Constrained pulse shape synthesis for digital communications.

[BibT_eX]

[DOI]

P. Boudon

Proceedings of the 9th European Signal Processing Conference, 1998

1997

Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projections.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 1997

Hard-constrained signal feasibility problems.

[BibT_eX]

[DOI]

Proceedings of the 1997 IEEE International Conference on Acoustics, 1997

1996

Wavelet synthesis by alternating projections.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1996

Combining statistical information in set theoretic estimation.

[BibT_eX]

[DOI]

Thierry J. Chaussalet

IEEE Signal Process. Lett., 1996

Generalized convex set theoretic image recovery.

[BibT_eX]

[DOI]

Proceedings of the Proceedings 1996 International Conference on Image Processing, 1996

Operator theoretic image coding.

[BibT_eX]

[DOI]

Hong Puh

Proceedings of the 1996 IEEE International Conference on Acoustics, 1996

1995

Volterra filtering and higher order whiteness.

[BibT_eX]

[DOI]

Bernard C. Picinbono

IEEE Trans. Signal Process., 1995

Constrained image recovery in a product space.

[BibT_eX]

[DOI]

Proceedings of the Proceedings 1995 International Conference on Image Processing, 1995

Adaptive linear filtering with convex constraints.

[BibT_eX]

[DOI]

Proceedings of the 1995 International Conference on Acoustics, 1995

1994

Inconsistent signal feasibility problems: least-squares solutions in a product space.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1994

Convex Set Theoretic Image Recovery via Chaotic Iterations of Approximate Projections.

[BibT_eX]

[DOI]

Proceedings of the Proceedings 1994 International Conference on Image Processing, 1994

A fast parallel projection algorithm for set theoretic image recovery.

[BibT_eX]

[DOI]

Hong Puh

Proceedings of ICASSP '94: IEEE International Conference on Acoustics, 1994

1993

Signal recovery by best feasible approximation.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 1993

The foundations of set theoretic estimation.

[BibT_eX]

[DOI]

Proc. IEEE, 1993

Parallel projection methods for set theoretic signal reconstruction and restoration.

[BibT_eX]

[DOI]

Hong Puh

Proceedings of the IEEE International Conference on Acoustics, 1993

Volterra prediction models and higher order whiteness.

[BibT_eX]

[DOI]

Bernard Picinbono

Proceedings of the IEEE International Conference on Acoustics, 1993

1992

Signal detection via spectral theory of large dimensional random matrices.

[BibT_eX]

[DOI]

Jack W. Silverstein

IEEE Trans. Signal Process., 1992

Best stable and invertible approximations for ARMA systems.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1992

Convex set theoretic image recovery: History, current status, and new directions.

[BibT_eX]

[DOI]

J. Vis. Commun. Image Represent., 1992

A general framework for the incorporation of uncertainty in set theoretic estimation.

[BibT_eX]

[DOI]

Messaoud Benidir

Bernard C. Picinbono

Proceedings of the 1992 IEEE International Conference on Acoustics, 1992

1991

Set theoretic estimation by random search.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1991

The use of noise properties in set theoretic estimation.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1991

The foundations of set theoretic estimation.

[BibT_eX]

[DOI]

M. Reha Civanlar

Proceedings of the 1991 International Conference on Acoustics, 1991

1990

New methods for the synthesis of set theoretic estimates [digital signal processing].

[BibT_eX]

[DOI]

Proceedings of the 1990 International Conference on Acoustics, 1990

1989

Methods for digital restoration of signals degraded by a stochastic impulse response.

[BibT_eX]

[DOI]

Henry J. Trussell

IEEE Trans. Acoust. Speech Signal Process., 1989

General order moments in set theoretic estimation.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 1989

1988

Stability of the linear prediction filter: a set theoretic approach.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 1988

1987

Considerations for the restoration of stochastic degradations.

[BibT_eX]

[DOI]