Works (178)

Updated: January 4th, 2024 05:03

2024 journal article

The geometry of monotone operator splitting methods (to appear, available on arxiv)

Acta Numerica.

Contributors: P. Combettes

Source: ORCID
Added: November 3, 2023

2023 article

A Perturbation Framework for Convex Minimization and Monotone Inclusion Problems with Nonlinear Compositions

Briceno-Arias, L. M., & Combettes, P. L. (2023, October 17). MATHEMATICS OF OPERATIONS RESEARCH, Vol. 10.

By: L. Briceno-Arias* & P. Combettes n

co-author countries: Chile 🇨🇱 United States of America 🇺🇸
author keywords: convex optimization; duality; monotone operator; nonlinear composition; perturbation theory; proximal method; splitting algorithm
Sources: Web Of Science, ORCID
Added: January 2, 2024

2023 journal article

Resolvent and Proximal Compositions

SET-VALUED AND VARIATIONAL ANALYSIS, 31(3).

By: P. Combettes

co-author countries: United States of America 🇺🇸
author keywords: Monotone operator; Proximal average; Proximal composition; Proximal point algorithm; Relaxed monotone inclusion; Resolvent average; Resolvent composition; Resolvent mixture
Sources: Web Of Science, ORCID
Added: July 24, 2023

2022 journal article

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

SIAM JOURNAL ON IMAGING SCIENCES, 15(1), 84–109.

By: P. Combettes* & Z. Woodstock

author keywords: image recovery; signal synthesis; monotone operator; nonlinear observation; firmly nonexpansive operator; variational inequality
Sources: Web Of Science, ORCID
Added: March 21, 2022

2022 article

BLOCK-ACTIVATED ALGORITHMS FOR MULTICOMPONENT FULLY NONSMOOTH MINIMIZATION

2022 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), pp. 5428–5432.

By: M. Bui n, P. Combettes n & Z. Woodstock n

co-author countries: United States of America 🇺🇸
author keywords: Block-activated algorithm; image recovery; machine learning; nonsmooth convex minimization; proximal splitting
Sources: Web Of Science, ORCID
Added: January 9, 2023

2022 article

SIGNAL RECOVERY FROM INCONSISTENT NONLINEAR OBSERVATIONS

2022 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), pp. 5872–5876.

By: P. Combettes n & Z. Woodstock n

co-author countries: United States of America 🇺🇸
author keywords: Firmly nonexpansive operator; inconsistent nonlinear observations; signal recovery; variational inequality
Sources: Web Of Science, ORCID
Added: January 9, 2023

2021 conference paper

A Fixed Point Framework for Recovering Signals from Nonlinear Transformations

2020 28th European Signal Processing Conference (EUSIPCO), 2120–2124.

By: P. Combettes n & Z. Woodstock n

co-author countries: United States of America 🇺🇸

Event: 2020 28th European Signal Processing Conference (EUSIPCO) at Amsterdam, Netherlands on January 18-21, 2021

Sources: Crossref, ORCID
Added: November 5, 2021

2021 report

Analysis and numerical solution of a modular convex Nash equilibrium problem

(HAL Preprint No. hal-03412172). https://hal.archives-ouvertes.fr/hal-03412172

By: M. Bùi & P. Combettes

Source: NC State University Libraries
Added: November 10, 2021

2021 report

Block-Activated Algorithms for Multicomponent Fully Nonsmooth Minimization

(ArXiv Preprint No. 2103.00520).

By: M. Bùi, P. Combettes* & Z. Woodstock

Sources: Crossref, ORCID
Added: October 31, 2023

2021 journal article

Bregman Forward-Backward Operator Splitting

Set-Valued and Variational Analysis, 29(3), 583–603.

By: M. Bui n & P. Combettes n

co-author countries: United States of America 🇺🇸
author keywords: Banach space; Bregman distance; Forward-backward splitting; Legendre function; Monotone operator
Sources: Web Of Science, ORCID
Added: December 21, 2020

2021 journal article

Fixed Point Strategies in Data Science

IEEE Transactions on Signal Processing, 69, 3878–3905.

By: P. Combettes n & J. Pesquet*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Data science; Tools; Signal processing algorithms; Inverse problems; Convex functions; Standards; Neural networks; Convex optimization; fixed point; game theory; image recovery; inverse problems; machine learning; monotone inclusion; neural networks; nonexpansive operator; signal processing
Sources: Web Of Science, ORCID
Added: August 16, 2021

2021 article

Multivariate Monotone Inclusions in Saddle Form

Bui, M. N., & Combettes, P. L. (2021, December 21). MATHEMATICS OF OPERATIONS RESEARCH, Vol. 12.

By: M. Bui n & P. Combettes n

co-author countries: United States of America 🇺🇸
author keywords: monotone inclusion; monotone operator; saddle form; operator splitting; block-iterative algorithm; asynchronous algorithm; strong convergence
Sources: Web Of Science, ORCID
Added: January 10, 2022

2021 journal article

Reconstruction of functions from prescribed proximal points

Journal of Approximation Theory, 268, 105606.

By: P. Combettes n & Z. Woodstock n

co-author countries: United States of America 🇺🇸
author keywords: Best approximation algorithm; Constrained interpolation; Firmly nonexpansive operator; Nonlinear signal recovery; Proximal point
Sources: Web Of Science, ORCID
Added: July 12, 2021

2021 journal article

Regression Models for Compositional Data: General Log-Contrast Formulations, Proximal Optimization, and Microbiome Data Applications

Statistics in Biosciences, 13(2), 217–242.

By: P. Combettes n & C. Mueller

co-author countries: Germany 🇩🇪 United States of America 🇺🇸
author keywords: Compositional data; Convex optimization; Log-contrast model; Microbiome; Perspective function; Proximal algorithm
Sources: Web Of Science, Crossref, ORCID
Added: July 6, 2020

2021 journal article

Solving Composite Fixed Point Problems with Block Updates

Advances in Nonlinear Analysis, 10(1), 1154–1177.

By: P. Combettes n & L. Glaudin*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: averaged operator; constrained minimization; forward-backward splitting; fixed point iterations; monotone operator; nonexpansive operator; variational inequality
Sources: Web Of Science, ORCID
Added: May 17, 2021

2020 journal article

Deep Neural Network Structures Solving Variational Inequalities

Set-Valued and Variational Analysis, 28(3), 491–518.

By: P. Combettes n & J. Pesquet*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Averaged operator; Deep neural network; Monotone operator; Nonexpansive operator; Proximity operator; Variational inequality
Sources: Web Of Science, Crossref, ORCID
Added: August 17, 2020

2020 journal article

Lipschitz Certificates for Layered Network Structures Driven by Averaged Activation Operators

SIAM Journal on Mathematics of Data Science, 2(2), 529–557.

By: P. Combettes* & J. Pesquet

author keywords: activation function; neural network; nonexpansive operator; averaged operator; stability; layered network
Sources: Crossref, ORCID, Web Of Science
Added: September 9, 2020

2020 journal article

Perspective maximum likelihood-type estimation via proximal decomposition

Electronic Journal of Statistics, 14(1), 207–238.

By: P. Combettes* & C. Müller

author keywords: Convex optimization; heteroscedastic model; concomitant M-estimator; perspective function; proximal algorithm; robust regression
Sources: Web Of Science, Crossref, ORCID
Added: August 3, 2020

2020 journal article

The Douglas--Rachford Algorithm Converges Only Weakly

SIAM Journal on Control and Optimization, 58(2), 1118–1120.

By: M. Bùi* & P. Combettes*

author keywords: Douglas-Rachford algorithm; method of partial inverses; monotone operator; operator splitting; strong convergence
Sources: Web Of Science, Crossref, ORCID
Added: July 20, 2020

2020 journal article

Warped proximal iterations for monotone inclusions

Journal of Mathematical Analysis and Applications, 491(1), 124315.

By: M. Bùi n & P. Combettes n

co-author countries: United States of America 🇺🇸
author keywords: Monotone inclusion; Operator splitting; Strong convergence; Warped resolvent; Warped proximal iterations
Sources: Web Of Science, Crossref, ORCID
Added: August 10, 2020

2019 conference paper

Fully Proximal Splitting Algorithms In Image Recovery

2019 27th European Signal Processing Conference (EUSIPCO). Presented at the 2019 27th European Signal Processing Conference (EUSIPCO), A Coruna, Spain.

By: P. Combettes n & L. Glaudin*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: 2019 27th European Signal Processing Conference (EUSIPCO) at A Coruna, Spain on September 2-6, 2019

Sources: Crossref, ORCID
Added: November 5, 2021

2019 journal article

Learning with optimal interpolation norms

Numerical Algorithms, 81(2), 695–717.

By: P. Combettes n, A. McDonald*, C. Micchelli* & M. Pontil*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 Italy 🇮🇹 United States of America 🇺🇸
author keywords: Block-coordinate proximal algorithm; Douglas-Rachford splitting; Infimal postcomposition; Latent group lasso; Machine learning; Optimal interpolation norm
Sources: Web Of Science, ORCID
Added: June 17, 2019

2019 journal article

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

SIAM Journal on Imaging Sciences, 12(4), 1905–1935.

By: P. Combettes* & L. Glaudin

author keywords: convex optimization; image recovery; inconsistent convex feasibility problem; proximal splitting algorithm; proximity operator
Sources: Web Of Science, ORCID
Added: July 20, 2020

2019 journal article

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

Mathematical Programming, 174(1-2), 433–451.

By: P. Combettes n & J. Pesquet*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Block-coordinate algorithm; Fixed-point algorithm; Mean-square convergence; Monotone operator splitting; Linear convergence; Stochastic algorithm
Sources: Web Of Science, ORCID
Added: April 22, 2019

2018 journal article

Consistent learning by composite proximal thresholding

MATHEMATICAL PROGRAMMING, 167(1), 99–127.

By: P. Combettes n, S. Salzo* & S. Villa*

co-author countries: Italy 🇮🇹 United States of America 🇺🇸
author keywords: Consistent estimator; Convex optimization; Forward-backward splitting; Proximal algorithm; Sparse data representation
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 conference paper

Linear convergence of stochastic block-coordinate fixed point algorithms

Proceedings of the European Signal Processing Conference, 747–751.

By: P. Combettes n & J. Pesquet*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: European Signal Processing Conference at Rome, Italy on September 3-7, 2018

Sources: NC State University Libraries, ORCID
Added: September 29, 2019

2018 article

Monotone operator theory in convex optimization

Combettes, P. L. (2018, July). MATHEMATICAL PROGRAMMING, Vol. 170, pp. 177–206.

By: P. Combettes n

co-author countries: United States of America 🇺🇸
author keywords: Firmly nonexpansive operator; Monotone operator; Operator splitting; Proximal algorithm; Proximity operator; Proximity-preserving transformation; Self-dual class; Subdifferential
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 journal article

Perspective Functions: Properties, Constructions, and Examples

SET-VALUED AND VARIATIONAL ANALYSIS, 26(2), 247–264.

By: P. Combettes n

co-author countries: United States of America 🇺🇸
author keywords: Berhu function; Convex function; Convex optimization; Huber function; Integral functional; Perspective function; Statistical divergence
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 journal article

Perspective functions: Proximal calculus and applications in high-dimensional statistics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 457(2), 1283–1306.

By: P. Combettes n & C. Muller*

co-author countries: United States of America 🇺🇸
author keywords: Convex function; Perspective function; Proximal algorithm; Proximity operator; Statistics
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 journal article

Regularized learning schemes in feature Banach spaces

ANALYSIS AND APPLICATIONS, 16(1), 1–54.

By: P. Combettes n, S. Salzo* & S. Villa*

co-author countries: Italy 🇮🇹 United States of America 🇺🇸
author keywords: Consistency; Banach spaces; empirical risk; feature map; reproducing kernel; regularization; representer theorem; statistical learning; totally convex function
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 journal article

Classification and Regression Using an Outer Approximation Projection-Gradient Method

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 65(17), 4635–4644.

By: M. Barlaud*, W. Belhajali*, P. Combettes n & L. Fillatre*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Convex optimization; outer approximation; projection-gradient algorithm
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 book

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

In CMS Books in Mathematics (2nd ed.).

By: H. Bauschke* & P. Combettes n

co-author countries: Canada 🇨🇦 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: July 20, 2019

2017 journal article

QUASI-NONEXPANSIVE ITERATIONS ON THE AFFINE HULL OF ORBITS: FROM MANN'S MEAN VALUE ALGORITHM TO INERTIAL METHODS

SIAM JOURNAL ON OPTIMIZATION, 27(4), 2356–2380.

By: P. Combettes* & L. Glaudin

author keywords: averaged operator; fixed point iteration; forward-backward algorithm; inertial algorithm; mean value iterations; monotone operator splitting; nonsmooth minimization; Peaceman-Rachford algorithm; proximal algorithm
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

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

Mathematical Programming, 168(1-2), 645–672.

By: P. Combettes* & J. Eckstein*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Asynchronous algorithm; Block-iterative algorithm; Duality; Monotone inclusion; Monotone operator; Primal-dual algorithm; Splitting algorithm
Sources: Crossref, ORCID
Added: July 20, 2019

2016 journal article

Solving composite monotone inclusions in reflexive Banach spaces by constructing best Bregman approximations from their Kuhn-Tucker set

Journal of Convex Analysis, 23(2), 481–510.

By: P. Combettes & Q. Nguyen

Source: NC State University Libraries
Added: August 29, 2019

2016 journal article

Stochastic approximations and perturbations in forward-backward splitting for monotone operators

Pure and Applied Functional Analysis, 1(1), 13–37. http://www.yokohamapublishers.jp/online2/oppafa/vol1/p13.html

By: P. Combettes & J. Pesquet

Contributors: P. Combettes

Sources: NC State University Libraries, ORCID
Added: July 10, 2019

2016 conference paper

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

Proceedings of the European Signal Processing Conference. Presented at the Proceedings of the European Signal Processing Conference, Budapest, Hungary.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷

Event: Proceedings of the European Signal Processing Conference at Budapest, Hungary on August 29 - September 2, 2016

Sources: NC State University Libraries, ORCID
Added: September 8, 2020

2015 journal article

A strongly convergent primal–dual method for nonoverlapping domain decomposition

Numerische Mathematik, 133(3), 443–470.

By: H. Attouch*, L. Briceño-Arias* & P. Combettes*

co-author countries: Chile 🇨🇱 France 🇫🇷
Sources: Crossref, ORCID
Added: July 20, 2019

2015 journal article

Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions

Numerical Functional Analysis and Optimization, 36(12), 1513–1532.

By: A. Alotaibi*, P. Combettes* & N. Shahzad*

co-author countries: France 🇫🇷 Saudi Arabia 🇸🇦
author keywords: Best approximation; Duality; Haugazeau; Monotone operator; Primal-dual algorithm; Splitting algorithm; Strong convergence
Sources: Crossref, ORCID
Added: July 20, 2019

2015 journal article

Compositions and convex combinations of averaged nonexpansive operators

Journal of Mathematical Analysis and Applications, 425(1), 55–70.

By: P. Combettes* & I. Yamada*

co-author countries: France 🇫🇷 Japan 🇯🇵
author keywords: Averaged operator; Fixed-point algorithm; Forward-backward splitting; Monotone operator; Nonexpansive operator
Sources: Crossref, ORCID
Added: July 20, 2019

2015 journal article

Kolmogorov n-Widths of Function Classes Induced by a Non-Degenerate Differential Operator: A Convex Duality Approach

Set-Valued and Variational Analysis, 24(1), 83–99.

By: P. Combettes* & D. Dũng*

co-author countries: France 🇫🇷 Viet Nam 🇻🇳
author keywords: Asymptotic order; Kolmogorov n-widths; Non-degenerate differential operator; Convex duality
Sources: Crossref, ORCID
Added: July 20, 2019

2015 journal article

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

SIAM Journal on Optimization, 25(2), 1221–1248.

By: P. Combettes* & J. Pesquet

author keywords: arbitrary sampling; block-coordinate algorithm; fixed-point algorithm; monotone operator splitting; primal-dual algorithm; stochastic quasi-Fejer sequence; stochastic algorithm; structured convex minimization problem
Sources: Crossref, ORCID
Added: July 20, 2019

2014 conference paper

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

Proceedings of the IEEE International Conference on Image Processing, 4141–4145.

By: P. Combettes*, L. Condat*, J. Pesquet* & B. Vũ*

co-author countries: France 🇫🇷 Italy 🇮🇹

Event: Proceedings of the IEEE International Conference on Image Processing at Paris, France on October 27-30, 2014

Sources: NC State University Libraries, ORCID
Added: September 8, 2020

2014 journal article

A primal-dual method of partial inverses for composite inclusions

Optimization Letters, 8(8), 2271–2284.

By: M. Alghamdi*, A. Alotaibi*, P. Combettes* & N. Shahzad*

co-author countries: France 🇫🇷 Saudi Arabia 🇸🇦
author keywords: Convex optimization; Duality; Method of partial inverses; Monotone operator; Splitting algorithm
Sources: Crossref, ORCID
Added: July 20, 2019

2014 journal article

An algorithm for splitting parallel sums of linearly composed monotone operators, with applications to signal recovery

Journal of Nonlinear and Convex Analysis, 15(1), 137–159.

By: S. Becker & P. Combettes

Source: NC State University Libraries
Added: August 29, 2019

2014 journal article

Asymptotic behavior of compositions of under-relaxed nonexpansive operators

Journal of Dynamics and Games, 1(3), 331–346.

By: J. Baillon, P. Combettes* & R. Cominetti

co-author countries: France 🇫🇷
author keywords: Cyclic projections; De Pierro's conjecture; fixed point; nonexpansive operator; projection operator; under-relaxed cycles
Sources: Crossref, ORCID
Added: July 28, 2019

2014 journal article

Modern convex analysis

Mathematical Programming, 148, 1–4.

By: P. Combettes*, J. Hiriart-Urruty* & M. Théra*

co-author countries: France 🇫🇷
Sources: Web Of Science, ORCID
Added: September 8, 2020

2014 journal article

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

SIAM Journal on Optimization, 24(4), 2076–2095.

By: A. Alotaibi, P. Combettes* & N. Shahzad

author keywords: duality; Fejer monotonicity; monotone inclusion; monotone operator; primal-dual algorithm; splitting algorithm
Sources: Crossref, ORCID
Added: July 20, 2019

2013 chapter

Monotone Operator Methods for Nash Equilibria in Non-potential Games

In Computational and Analytical Mathematics (pp. 143–159).

By: L. Briceño-Arias* & P. Combettes*

co-author countries: Chile 🇨🇱 France 🇫🇷
author keywords: Monotone operator; Nash equilibrium; Potential game; Proximal algorithm; Splitting method; Zero-sum game
Sources: Crossref, ORCID
Added: July 27, 2019

2013 journal article

Moreau’s decomposition in Banach spaces

Mathematical Programming, 139(1-2), 103–114.

By: P. Combettes* & N. Reyes*

co-author countries: France 🇫🇷 Philippines 🇵🇭
author keywords: Banach space; Bregman distance; Convex optimization; Infimal convolution; Legendre function; Moreau's decomposition; Proximity operator
Sources: Crossref, ORCID
Added: July 27, 2019

2013 journal article

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

SIAM Journal on Optimization, 23(4), 2420–2447.

By: P. Combettes*

author keywords: convex minimization; coupled system; infimal convolution; monotone inclusion; monotone operator; operator splitting; parallel algorithm; structured minimization problem
Sources: Crossref, ORCID
Added: July 27, 2019

2013 journal article

Variable metric quasi-Fejér monotonicity

Nonlinear Analysis: Theory, Methods & Applications, 78, 17–31.

By: P. Combettes* & B. Vũ*

co-author countries: France 🇫🇷
author keywords: Convex feasibility problem; Convex optimization; Hilbert space; Inverse problems; Proximal Landweber method; Proximal point algorithm; Quasi-Fejer sequence; Variable metric
Sources: Crossref, ORCID
Added: July 27, 2019

2012 journal article

There is no variational characterization of the cycles in the method of periodic projections

Journal of Functional Analysis, 262(1), 400–408.

By: J. Baillon*, P. Combettes* & R. Cominetti*

co-author countries: Chile 🇨🇱 France 🇫🇷
author keywords: Alternating projections; Best approximation; Limit cycle; Von Neumann algorithm
Sources: Crossref, ORCID
Added: July 27, 2019

2012 journal article

Variable metric forward–backward splitting with applications to monotone inclusions in duality

Optimization, 63(9), 1289–1318.

By: P. Combettes* & B. Vũ*

co-author countries: France 🇫🇷
author keywords: cocoercive operator; composite operator; demiregularity; duality; forward-backward splitting algorithm; monotone inclusion; monotone operator; primal-dual algorithm; quasi-Fejer sequence; variable metric
Sources: Crossref, ORCID
Added: July 20, 2019

2011 journal article

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

SIAM Journal on Optimization, 21(4), 1230–1250.

By: L. Briceño-Arias & P. Combettes*

author keywords: composite operator; convex optimization; decomposition; duality; Fenchel-Rockafellar duality; forward-backward-forward algorithm; minimization algorithm; monotone inclusion; monotone operator; operator splitting
Sources: Crossref, ORCID
Added: July 28, 2019

2011 book

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

In CMS Books in Mathematics.

By: H. Bauschke* & P. Combettes*

co-author countries: Canada 🇨🇦 France 🇫🇷
Sources: ORCID, Crossref
Added: July 27, 2019

2011 book

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

Patrick Combettes

Ed(s): H. Bauschke, R. Burachik, P. Combettes, V. Elser, D. Luke & H. Wolkowicz

Sources: Crossref, ORCID
Added: July 27, 2019

2011 journal article

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

Computational Optimization and Applications, 51(3), 1065–1088.

By: Y. Censor*, W. Chen*, P. Combettes*, R. Davidi* & G. Herman*

co-author countries: France 🇫🇷 Israel 🇮🇱 United States of America 🇺🇸
author keywords: Projection methods; Convex feasibility problems; Numerical evaluation; Optimization; Linear inequalities; Sparse matrices
Sources: Crossref, ORCID
Added: July 27, 2019

2011 journal article

Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators

Set-Valued and Variational Analysis, 20(2), 307–330.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷
author keywords: Maximal monotone operator; Monotone inclusion; Nonsmooth convex optimization; Parallel sum; Set-valued duality; Splitting algorithm
Sources: Crossref, ORCID
Added: July 27, 2019

2011 chapter

Proximal Splitting Methods in Signal Processing

In Springer Optimization and Its Applications (pp. 185–212).

By: P. Combettes* & J. Pesquet

co-author countries: France 🇫🇷
author keywords: Alternating-direction method of multipliers; Backward-backward algorithm; Convex optimization; Denoising; Douglas-Rachford algorithm; Forward-backward algorithm; Frame; Landweber method; Iterative thresholding; Parallel computing; Peaceman-Rachford algorithm; Proximal algorithm; Restoration and reconstruction; Sparsity; Splitting
Sources: Crossref, ORCID
Added: July 28, 2019

2011 journal article

Proximity for sums of composite functions

Journal of Mathematical Analysis and Applications, 380(2), 680–688.

By: P. Combettes*, Đ. Dũng* & B. Vũ*

co-author countries: France 🇫🇷 Viet Nam 🇻🇳
author keywords: Best approximation; Convex optimization; Duality; Image recovery; Proximity operator; Proximal splitting algorithm; Elastic net
Sources: Crossref, ORCID
Added: July 28, 2019

2010 journal article

A Parallel Splitting Method for Coupled Monotone Inclusions

SIAM Journal on Control and Optimization, 48(5), 3246–3270.

By: H. Attouch, L. Briceño-Arias & P. Combettes*

author keywords: coupled systems; demiregular operator; evolution inclusion; forward-backward algorithm; maximal monotone operator; operator splitting; parallel algorithm; weak convergence
Sources: Crossref, ORCID
Added: July 28, 2019

2010 conference paper

Alternating proximal algorithm for blind image recovery

Proceedings of the IEEE International Conference on Image Processing, 1673–1676.

By: J. Bolte*, P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷

Event: Proceedings of the IEEE International Conference on Image Processing at Hong Kong on September 26-29, 2010

author keywords: Blind restoration; blind reconstruction; proximal methods; nonlinear optimization; wavelets
Sources: Web Of Science, ORCID
Added: September 8, 2020

2010 journal article

Dualization of Signal Recovery Problems

Set-Valued and Variational Analysis, 18(3-4), 373–404.

By: P. Combettes*, Đ. Dũng* & B. Vũ*

co-author countries: France 🇫🇷 Viet Nam 🇻🇳
author keywords: Convex optimization; Denoising; Dictionary; Dykstra-like algorithm; Duality; Forward-backward splitting; Image reconstruction; Image restoration; Inverse problem; Signal recovery; Primal-dual algorithm; Proximity operator; Total variation
Sources: Crossref, ORCID
Added: July 28, 2019

2010 journal article

Functions with prescribed best linear approximations

Journal of Approximation Theory, 162(5), 1095–1116.

By: P. Combettes* & N. Reyes*

co-author countries: France 🇫🇷 Philippines 🇵🇭
Sources: Crossref, ORCID
Added: July 28, 2019

2010 journal article

Proximal Algorithms for Multicomponent Image Recovery Problems

Journal of Mathematical Imaging and Vision, 41(1-2), 3–22.

By: L. Briceño-Arias*, P. Combettes*, J. Pesquet* & N. Pustelnik*

co-author countries: France 🇫🇷
author keywords: Convex minimization; Image recovery; Inverse problems; Multicomponent images; Multichannel images; Multispectral images; Proximal algorithm; Sparsity; Stereoscopy; Wavelets
Sources: Crossref, ORCID
Added: July 28, 2019

2010 conference paper

Proximal method for geometry and texture image decomposition

Proceedings of the IEEE International Conference on Image Processing, 2721–2724.

By: L. Briceño-Arias*, P. Combettes*, J. Pesquet* & N. Pustelnik*

co-author countries: France 🇫🇷

Event: Proceedings of the IEEE International Conference on Image Processing at Hong Kong on September 26-29, 2010

author keywords: Convex optimization; denoising; image decomposition; image restoration; proximity operator
Sources: Web Of Science, ORCID
Added: September 8, 2020

2010 journal article

The Baillon-Haddad theorem revisited

Journal of Convex Analysis, 17(4), 781–787.

By: H. Bauschke & P. Combettes

Source: NC State University Libraries
Added: July 10, 2019

2009 journal article

Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery

Numerical Mathematics: Theory, Methods, and Applications, 2(4), 485–508.

By: L. Briceño-Arias* & P. Combettes*

co-author countries: France 🇫🇷
author keywords: Convex optimization; denoising; image restoration; proximal algorithm; signal decomposition; signal recovery
Sources: Web Of Science, ORCID
Added: August 29, 2019

2009 journal article

Iterative construction of the resolvent of a sum of maximal monotone operators

Journal of Convex Analysis, 16(4), 727–748.

By: P. Combettes

Source: NC State University Libraries
Added: August 29, 2019

2009 conference paper

Split convex minimization algorithm for signal recovery

Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, 685–688.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷

Event: Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing at Taipei, Taiwan on April 19-24, 2009

author keywords: convex optimization methods; inverse problems; parallel algorithm; signal restoration; variational methods; wavelet transforms
Sources: Web Of Science, ORCID
Added: September 8, 2020

2008 chapter

A Convex Programming Algorithm for Noisy Discrete Tomography

In Advances in Discrete Tomography and Its Applications (pp. 207–226).

By: T. Capricelli* & P. Combettes*

co-author countries: France 🇫🇷
Sources: Crossref, ORCID
Added: July 28, 2019

2008 journal article

A Dykstra-like algorithm for two monotone operators

Pacific Journal of Optimization, 4(3), 383–391.

By: H. Bauschke & P. Combettes

Source: NC State University Libraries
Added: September 9, 2019

2008 journal article

A proximal decomposition method for solving convex variational inverse problems

Inverse Problems, 24(6), 065014.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷
Sources: Crossref, ORCID
Added: July 28, 2019

2008 journal article

Proximal Thresholding Algorithm for Minimization over Orthonormal Bases

SIAM Journal on Optimization, 18(4), 1351–1376.

By: P. Combettes* & J. Pesquet

co-author countries: France 🇫🇷
author keywords: convex programming; deconvolution; denoising; forward-backward splitting algorithm; Hilbert space; orthonormal basis; proximal algorithm; proximal thresholding; proximity operator; signal recovery; soft thresholding; strong convergence
Sources: Crossref, ORCID
Added: July 28, 2019

2008 journal article

Visco-penalization of the sum of two monotone operators

Nonlinear Analysis: Theory, Methods & Applications, 69(2), 579–591.

By: P. Combettes* & S. Hirstoaga

author keywords: approximating curve; monotone operator; penalization; variational inequality; viscosity; Yosida approximation
Sources: Crossref, ORCID
Added: July 28, 2019

2007 journal article

A Douglas–Rachford Splitting Approach to Nonsmooth Convex Variational Signal Recovery

IEEE Journal of Selected Topics in Signal Processing, 1(4), 564–574.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷
author keywords: Convex optimization; denoising; Douglas-Rachford; frame; nondifferentiable optimization; Poisson noise; proximal algorithm; wavelets
Sources: Crossref, ORCID
Added: July 28, 2019

2007 journal article

A variational formulation for frame-based inverse problems

Inverse Problems, 23(4), 1495–1518.

By: C. Chaux*, P. Combettes*, J. Pesquet* & V. Wajs*

co-author countries: France 🇫🇷
Sources: Crossref, ORCID
Added: July 28, 2019

2007 conference paper

Opérateurs proximaux pour la restauration bayésienne de signaux

Proceedings of the Twenty First GRETSI Symposium, 1277–1280. http://hdl.handle.net/2042/17744

By: C. Chaux, P. Combettes, J. Pesquet & V. Wajs

Event: Proceedings of the Twenty First GRETSI Symposium at Troyes, France on September 11-14, 2007

Source: NC State University Libraries
Added: September 8, 2020

2007 conference paper

Sparse signal recovery by iterative proximal thresholding

Proceedings of the European Signal Processing Conference. Presented at the European Signal Processing Conference, Poznan, Poland.

By: P. Combettes & J. Pesquet

Event: European Signal Processing Conference at Poznan, Poland on September 3-7, 2007

Source: NC State University Libraries
Added: September 8, 2020

2006 conference paper

A decomposition method for nonsmooth convex variational signal recovery

Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, 5, 989–992.

By: H. Bauschke*, P. Combettes* & J. Pesquet*

co-author countries: Canada 🇨🇦 France 🇫🇷

Event: Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing at Toulouse, France on May 14-19, 2006

Sources: NC State University Libraries, ORCID
Added: September 8, 2020

2006 journal article

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

Journal of Approximation Theory, 141(1), 63–69.

By: H. Bauschke*, P. Combettes* & D. Luke*

co-author countries: Canada 🇨🇦 France 🇫🇷 United States of America 🇺🇸
author keywords: best approximation problem; convex set; projection; strong convergence
Sources: Crossref, ORCID
Added: July 28, 2019

2006 journal article

Approximating curves for nonexpansive and monotone operators

Journal of Convex Analysis, 13(3-4), 633–646.

By: P. Combettes & S. Hirstoaga

Source: NC State University Libraries
Added: September 9, 2019

2006 conference paper

Iterative image deconvolution using overcomplete representations

Proceedings of the European Signal Processing Conference. Presented at the 14th European Signal Processing Conference, Florence, Italy.

By: C. Chaux, P. Combettes, J. Pesquet & V. Wajs

Event: 14th European Signal Processing Conference at Florence, Italy on September 4-8, 2006

Source: NC State University Libraries
Added: September 8, 2020

2006 journal article

Joint minimization with alternating Bregman proximity operators

Pacific Journal of Optimization, 2(3), 401–424.

By: H. Bauschke, P. Combettes & D. Noll

Source: NC State University Libraries
Added: July 10, 2019

2005 conference paper

A forward-backward algorithm for image restoration with sparse representations

Proceedings of the International Conference on Signal Processing with Adaptative Sparse Structured Representations, 49–52.

By: C. Chaux, P. Combettes, J. Pesquet & V. Wajs

Event: Proceedings of the International Conference on Signal Processing with Adaptative Sparse Structured Representations at Rennes, France on November 16-18, 2005

Source: NC State University Libraries
Added: September 8, 2020

2005 conference paper

A new generation of iterative transform algorithms for phase contrast tomography

Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, 4, 89–92.

By: H. Bauschke, P. Combettes* & D. Luke

Event: Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing at Philadelphia, PA on March 19-23, 2005

Sources: NC State University Libraries, ORCID
Added: September 8, 2020

2005 journal article

Equilibrium programming in Hilbert spaces

Journal of Nonlinear and Convex Analysis, 6(1), 117–136.

By: P. Combettes & S. Hirstoaga

Source: NC State University Libraries
Added: September 9, 2019

2005 conference paper

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

2004 International Conference on Image Processing, 2004. ICIP '04. Presented at the 2004 International Conference on Image Processing, 2004. ICIP '04., Singapore.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷

Event: 2004 International Conference on Image Processing, 2004. ICIP '04. at Singapore on October 24-27, 2004

Sources: Crossref, ORCID
Added: November 16, 2019

2005 journal article

Extrapolation algorithm for affine-convex feasibility problems

Numerical Algorithms, 41(3), 239–274.

By: H. Bauschke*, P. Combettes* & S. Kruk*

co-author countries: Canada 🇨🇦 France 🇫🇷 United States of America 🇺🇸
author keywords: affinite sets; convex feasibility problem; convex sets; extrapolation; Hilbert space; projection method
Sources: Crossref, ORCID
Added: July 28, 2019

2005 journal article

Parallel Block-Iterative Reconstruction Algorithms for Binary Tomography

Electronic Notes in Discrete Mathematics, 20, 263–280.

By: T. Capricelli* & P. Combettes*

co-author countries: France 🇫🇷
Sources: Crossref, ORCID
Added: November 16, 2019

2005 journal article

Signal Recovery by Proximal Forward-Backward Splitting

Multiscale Modeling & Simulation, 4(4), 1168–1200.

By: P. Combettes* & V. Wajs

Sources: Crossref, ORCID
Added: July 28, 2019

2005 journal article

The asymptotic behavior of the composition of two resolvents

Nonlinear Analysis: Theory, Methods & Applications, 60(2), 283–301.

By: H. Bauschke*, P. Combettes* & S. Reich*

co-author countries: Canada 🇨🇦 France 🇫🇷 Israel 🇮🇱
author keywords: duality; firmly nonexpansive operator; gradient projection method; Hilbert space; monotone inclusion; monotone operator; proximal iteration; resolvent
Sources: Crossref, ORCID
Added: July 28, 2019

2005 journal article

The asymptotic behavior of the composition of two resolvents

Nonlinear Analysis, 60(2), 283–301.

By: H. Bauschke*, P. Combettes* & S. Reich*

co-author countries: Canada 🇨🇦 France 🇫🇷 Israel 🇮🇱
Sources: Crossref, ORCID
Added: September 8, 2020

2005 conference paper

Theoretical analysis of some regularized image denoising methods

2004 International Conference on Image Processing, 2004. ICIP '04. Presented at the 2004 International Conference on Image Processing, 2004. ICIP '04., Singapore.

By: P. Combettes* & V. Wajs*

co-author countries: France 🇫🇷

Event: 2004 International Conference on Image Processing, 2004. ICIP '04. at Singapore on October 24-27, 2004

Sources: Crossref, ORCID
Added: November 16, 2019

2005 conference paper

Éclatement des contraintes en reconstruction tomographique

Capricelli, T. D., & Combettes, P. L. (2005, September 6). Presented at the Actes du Vingtième Colloque GRETSI sur le Traitement du Signal et des Images, Louvain-la-Neuve, Belgium.

By: T. Capricelli & P. Combettes

Event: Actes du Vingtième Colloque GRETSI sur le Traitement du Signal et des Images at Louvain-la-Neuve, Belgium on September 6-9, 2005

Source: NC State University Libraries
Added: September 8, 2020

2004 conference paper

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

2004 IEEE International Conference on Acoustics, Speech, and Signal Processing. Presented at the 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, Montreal, Quebec, Canada.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷

Event: 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing at Montreal, Quebec, Canada on May 17-21, 2004

Sources: Crossref, ORCID
Added: November 17, 2019

2004 journal article

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

Journal of Approximation Theory, 127(2), 178–192.

By: H. Bauschke*, P. Combettes* & D. Luke*

co-author countries: Canada 🇨🇦 France 🇫🇷
author keywords: best approximation pair; convex set; firmly nonexpansive map; Hilbert space; hybrid projection-reflection method; method of partial inverses; normal cone; projection; reflection; weak convergence
Sources: Crossref, ORCID
Added: July 28, 2019

2004 journal article

Image Restoration Subject to a Total Variation Constraint

IEEE Transactions on Image Processing, 13(9), 1213–1222.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷
MeSH headings : Algorithms; Computer Graphics; Computer Simulation; Image Enhancement / methods; Image Interpretation, Computer-Assisted / methods; Information Storage and Retrieval / methods; Models, Statistical; Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Reproducibility of Results; Sensitivity and Specificity; Signal Processing, Computer-Assisted; Subtraction Technique
Sources: Crossref, ORCID
Added: July 28, 2019

2004 journal article

Proximal Methods for Cohypomonotone Operators

SIAM Journal on Control and Optimization, 43(2), 731–742.

By: P. Combettes* & T. Pennanen

co-author countries: France 🇫🇷
author keywords: cohypomonotone operator; common zero problem; hypomonotone operator; method of multipliers; nonlinear programming; proximal point method; weak convergence
Sources: Crossref, ORCID
Added: July 28, 2019

2004 journal article

Solving monotone inclusions via compositions of nonexpansive averaged operators

Optimization, 53(5-6), 475–504.

By: P. Combettes*

co-author countries: Norway 🇳🇴
author keywords: averaged operator; Douglas-Rach ford method; forward-backward method; monotone inclusion; monotone operator; proximal point algorithm
Sources: Crossref, ORCID
Added: July 28, 2019

2004 conference paper

Total variation information in image recovery

Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429). Presented at the International Conference on Image Processing, Barcelona, Spain.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷

Event: International Conference on Image Processing at Barcelona, Spain on September 14-17, 2003

Sources: Crossref, ORCID
Added: November 17, 2019

2004 journal article

Wavelet-constrained image restoration

International Journal of Wavelets, Multiresolution and Information Processing, 2(4), 371–389.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷
Sources: Crossref, ORCID
Added: September 18, 2019

2003 journal article

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

IEEE Transactions on Signal Processing, 51(7), 1771–1782.

By: P. Combettes*

co-author countries: France 🇫🇷
author keywords: block-iterative optimization; convex analysis; deconvolution; quadratic programming; signal recovery; subgradient projection
Sources: Crossref, ORCID
Added: July 28, 2019

2003 journal article

Bregman Monotone Optimization Algorithms

SIAM Journal on Control and Optimization, 42(2), 596–636.

By: H. Bauschke*, J. Borwein* & P. Combettes*

co-author countries: Canada 🇨🇦
author keywords: Banach space; block-iterative method; Bregman distance; Bregman monotone; Bregman projection; B-class operator; convex feasibility problem; essentially smooth function; essentially strict convex function; Fejer monotone; Legendre function; monotone operator; proximal mapping; proximal point algorithm; resolvent; subgradient projection
Sources: Crossref, ORCID
Added: July 28, 2019

2003 journal article

Construction of best Bregman approximations in reflexive Banach spaces

Proceedings of the American Mathematical Society, 131(12), 3757–3766.

By: H. Bauschke* & P. Combettes*

co-author countries: Canada 🇨🇦 France 🇫🇷
author keywords: best approximation; Bregman distance; decomposition; Haugazeau
Sources: Crossref, ORCID
Added: July 28, 2019

2003 journal article

Hybrid projection–reflection method for phase retrieval

Journal of the Optical Society of America A, 20(6), 1025.

By: H. Bauschke*, P. Combettes* & D. Luke*

co-author countries: Canada 🇨🇦 France 🇫🇷
Sources: Crossref, ORCID
Added: July 28, 2019

2003 conference paper

Image deconvolution with total variation bounds

Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings. Presented at the Seventh International Symposium on Signal Processing and Its Applications, Paris, France.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷

Event: Seventh International Symposium on Signal Processing and Its Applications at Paris, France on July 4, 2003

Sources: Crossref, ORCID
Added: November 17, 2019

2003 journal article

Iterating Bregman Retractions

SIAM Journal on Optimization, 13(4), 1159–1173.

By: H. Bauschke & P. Combettes*

author keywords: backward Bregman projection; Bregman distance; Bregman function; Bregman projection; Bregman retraction; convex feasibility problem; forward Bregman projection; Legendre function; paracontraction; projection algorithm
Sources: Crossref, ORCID
Added: July 28, 2019

2003 conference paper

On the structure of some phase retrieval algorithms

Proceedings. International Conference on Image Processing. Presented at the ICIP 2002 International Conference on Image Processing, Rochester, New York.

By: H. Bauschke*, P. Combettes* & D. Luke

co-author countries: Canada 🇨🇦

Event: ICIP 2002 International Conference on Image Processing at Rochester, New York on September 22-25, 2002

Sources: Crossref, ORCID
Added: November 17, 2019

2002 conference paper

A block-iterative quadratic signal recovery algorithm

Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181). Presented at the 1998 IEEE International Conference on Acoustics, Speech, and Signal Processing, Seattle, Washington.

By: P. Combettes*

co-author countries: China 🇨🇳 United States of America 🇺🇸

Event: 1998 IEEE International Conference on Acoustics, Speech, and Signal Processing at Seattle, Washington on May 15, 1998

Sources: Crossref, ORCID
Added: December 7, 2019

2002 conference paper

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

2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100). Presented at the 2000 International Conference on Acoustics, Speech and Signal Processing, Istanbul, Turkey.

By: J. Luo* & P. Combettes*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: 2000 International Conference on Acoustics, Speech and Signal Processing at Istanbul, Turkey on June 5-9, 2000

Sources: Crossref, ORCID
Added: December 7, 2019

2002 conference paper

A parallel constraint disintegration and approximation scheme for quadratic signal recovery

2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100). Presented at the 2000 International Conference on Acoustics, Speech and Signal Processing, Istanbul, Turkey.

By: P. Combettes*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: 2000 International Conference on Acoustics, Speech and Signal Processing at Istanbul, Turkey on June 5-9, 2000

Sources: Crossref, ORCID
Added: December 7, 2019

2002 journal article

An adaptive level set method for nondifferentiable constrained image recovery

IEEE Transactions on Image Processing, 11(11), 1295–1304.

By: P. Combettes* & J. Luo*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: image recovery; level set method; nondifferentiable optimization; reconstruction; restoration; total variation
Sources: Crossref, ORCID
Added: July 28, 2019

2002 conference paper

Convex multiresolution analysis

Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96). Presented at the Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), Paris, France.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96) at Paris, France on June 18-21, 1996

Sources: Crossref, ORCID
Added: December 7, 2019

2002 conference paper

Convex set theoretic image recovery with inexact projection algorithms

Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205). Presented at the 2001 International Conference on Image Processing, Thessaloniki, Greece.

By: P. Combettes*

co-author countries: France 🇫🇷

Event: 2001 International Conference on Image Processing at Thessaloniki, Greece on October 7-10, 2001

Sources: Crossref, ORCID
Added: December 7, 2019

2002 journal article

Generalized Mann iterates for constructing fixed points in Hilbert spaces

Journal of Mathematical Analysis and Applications, 275(2), 521–536.

By: P. Combettes* & T. Pennanen

co-author countries: France 🇫🇷
Sources: Crossref, ORCID
Added: July 28, 2019

2002 conference paper

Generalized convex set theoretic image recovery

Proceedings of 3rd IEEE International Conference on Image Processing. Presented at the 3rd IEEE International Conference on Image Processing, Lausanne, Switzerland.

By: P. Combettes*

co-author countries: United States of America 🇺🇸

Event: 3rd IEEE International Conference on Image Processing at Lausanne, Switzerland on September 19, 1996

Sources: Crossref, ORCID
Added: December 7, 2019

2002 conference paper

Hard-constrained signal feasibility problems

1997 IEEE International Conference on Acoustics, Speech, and Signal Processing. Presented at the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, Munich, Germany.

By: P. Combettes* & P. Bondon

co-author countries: United States of America 🇺🇸

Event: 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing at Munich, Germany on April 21-24, 1997

Sources: Crossref, ORCID
Added: December 7, 2019

2002 conference paper

Nonlinear multiresolution image analysis via convex projections

Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), 2, 762–765.

By: P. Combettes & J. Pesquet*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: IPCIP'98 International Conference on Image Processing at Chicago, Illinois on October 7, 1998

Sources: Crossref, ORCID
Added: September 8, 2020

2002 conference paper

Operator theoretic image coding

1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings. Presented at the 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, Atlanta, Georgia.

By: H. Puh* & P. Combettes*

co-author countries: United States of America 🇺🇸

Event: 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings at Atlanta, Georgia on May 9, 1996

Sources: Crossref, ORCID
Added: December 7, 2019

2002 journal article

Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization

Journal of the Optical Society of America A, 19(7), 1334.

By: H. Bauschke*, P. Combettes* & D. Luke*

co-author countries: Canada 🇨🇦 Germany 🇩🇪 France 🇫🇷
Sources: Crossref, ORCID
Added: August 18, 2019

2001 journal article

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

Mathematics of Operations Research, 26(2), 248–264.

By: H. Bauschke* & P. Combettes*

co-author countries: Canada 🇨🇦 France 🇫🇷
author keywords: convex feasibility; Fejer-monotonicity; firmly nonexpansive mapping; fixed point; Haugazeau; maximal monotone operator; projection; proximal point algorithm; resolvent; subgradient algorithm
Sources: Crossref, ORCID
Added: August 18, 2019

2001 conference paper

Convexité et signal

Actes du Congrès de Mathématiques Appliquées et Industrielles SMAI'01, 6–16.

By: P. Combettes

Event: Actes du Congrès de Mathématiques Appliquées et Industrielles SMAI'01 at Pompadour, France on May 28 - June 1, 2001

Source: NC State University Libraries
Added: November 10, 2021

2001 journal article

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

Communications in Contemporary Mathematics, 3(4), 615–647.

By: H. Bauschke*, J. Borwein* & P. Combettes*

co-author countries: Canada 🇨🇦 France 🇫🇷
author keywords: Bregman distance; Bregman projection; coercive; cofinite function; convex function of Legendre type; essentially smooth; essentially strictly convex; Legendre function; Schur property; Schur space; subdifferential; supercoercive; weak Asplund space; zone consistent
Sources: Crossref, ORCID
Added: September 18, 2019

2001 chapter

Fejér-monotonicity in convex optimization

In C. A. Floudas & P. M. Pardalos (Eds.), Encyclopedia of Optimization (Vol. 2, pp. 106–114). New York: Springer-Verlag.

By: P. Combettes

Ed(s): C. Floudas & P. Pardalos

Source: NC State University Libraries
Added: September 9, 2019

2001 journal article

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

IEEE Signal Processing Letters, 8(2), 45–47.

By: P. Combettes*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: convex constraint; numerical errors; parallel computing; projection; signal recovery; signal synthesis
Sources: Crossref, ORCID
Added: August 18, 2019

2001 chapter

Quasi-Fejérian Analysis of Some Optimization Algorithms

In Studies in Computational Mathematics (pp. 115–152).

By: P. Combettes*

co-author countries: France 🇫🇷 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 18, 2019

2000 journal article

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

SIAM Journal on Control and Optimization, 38(2), 538–565.

By: P. Combettes*

author keywords: block-iterative; convex feasibility problem; convex programming; constrained minimization; cutting plane; fixed point; inconsistent constraints; outer approximation; projection onto an intersection of convex sets; reflexive Banach space; surrogate cut; uniformly convex function
Sources: Crossref, ORCID
Added: August 18, 2019

1999 conference paper

A subgradient projection algorithm for nondifferentiable signal recovery

Proceedings of the IEEE Workshop on Nonlinear Signal and Image Processing, 452–456.

By: J. Luo & P. Combettes

Event: Proceedings of the IEEE Workshop on Nonlinear Signal and Image Processing at Antalya, Turkey on June 20-23, 1999

Source: NC State University Libraries
Added: September 8, 2020

1999 journal article

Hard-constrained inconsistent signal feasibility problems

IEEE Transactions on Signal Processing, 47(9), 2460–2468.

By: P. Combettes* & P. Bondon*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: convex feasibility problem; fixed point; Hilbert space; inconsistent constraints; monotone operator; optimization; signal synthesis
Sources: Crossref, ORCID
Added: August 18, 2019

1998 conference paper

Constrained pulse shape synthesis for digital communications

Proceedings of the European Signal Processing Conference, 573–576.

By: P. Combettes & P. Bondon

Event: Proceedings of the European Signal Processing Conference at Island of Rhodes, Greece on September 8-11, 1998

Source: NC State University Libraries
Added: September 8, 2020

1998 journal article

Convex multiresolution analysis

IEEE Transactions on Pattern Analysis and Machine Intelligence, 20(12), 1308–1318.

By: P. Combettes* & J. Pesquet*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: multiresolution analysis; convex sets; hierarchical signal analysis; nonlinear filter banks; projections
Sources: Crossref, ORCID
Added: August 18, 2019

1997 journal article

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

IEEE Transactions on Image Processing, 6(4), 493–506.

By: P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 18, 2019

1997 journal article

Hilbertian convex feasibility problem: Convergence of projection methods

Applied Mathematics & Optimization, 35(3), 311–330.

By: P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 18, 2019

1996 conference paper

Bounded-error models in inverse problems

Proceedings of the 1996 IMACS/IEEE MultiConference on Computational Engineering in Systems Applications, 2, 1023–1027.

By: P. Combettes

Event: Proceedings of the 1996 IMACS/IEEE MultiConference on Computational Engineering in Systems Applications at Lille, France on July 9-12, 1996

Source: NC State University Libraries
Added: September 8, 2020

1996 journal article

Combining statistical information in set theoretic estimation

IEEE Signal Processing Letters, 3(3), 61–62.

By: P. Combettes* & T. Chaussalet*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1996 conference paper

Set theoretic vector quantization

Proceedings of the Ninth IEEE Workshop on Image and Multidimensional Signal Processing, 48–49.

By: H. Puh & P. Combettes

Event: Proceedings of the Ninth IEEE Workshop on Image and Multidimensional Signal Processing at Belize City, Belize on March 3-6, 1996

Source: NC State University Libraries
Added: September 8, 2020

1996 chapter

The Convex Feasibility Problem in Image Recovery

In Advances in Imaging and Electron Physics (pp. 155–270).

By: P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 19, 2019

1996 journal article

Wavelet synthesis by alternating projections

IEEE Transactions on Signal Processing, 44(3), 728–732.

By: J. Pesquet* & P. Combettes*

co-author countries: France 🇫🇷 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1995 conference paper

Adaptive linear filtering with convex constraints

1995 International Conference on Acoustics, Speech, and Signal Processing, 2, 1372–1375.

By: P. Combettes* & P. Bondon*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: 1995 International Conference on Acoustics, Speech, and Signal Processing at Detroit, Michigan on May 9-12, 1995

Sources: Crossref, ORCID
Added: September 8, 2020

1995 conference paper

Constrained image recovery in a product space

Proceedings., International Conference on Image Processing, 2, 25–28.

By: P. Combettes*

co-author countries: United States of America 🇺🇸

Event: International Conference on Image Processing at Washington, DC on October 23-26, 1995

Sources: Crossref, ORCID
Added: September 8, 2020

1995 journal article

Construction d'un point fixe commun à une famille de contractions fermes

Comptes Rendus De l'Académie Des Sciences De Paris, Série I (Mathématique), 320(11), 1385–1390.

By: P. Combettes

Source: NC State University Libraries
Added: September 18, 2019

1995 journal article

Deconvolution with bounded uncertainty

International Journal of Adaptive Control and Signal Processing, 9(1), 3–17.

By: P. Combettes* & H. Trussell

co-author countries: United States of America 🇺🇸
author keywords: SIGNAL DECONVOLUTION; BOUNDED-ERROR; SET THEORETIC ESTIMATION; CONVEX SETS; PROJECTIONS
Sources: Crossref, ORCID
Added: August 29, 2019

1995 chapter

Restauration ensembliste d’images par itérations parallèles extrapolées de sous-gradients

In Actes du Quinzième Colloque GRETSI (pp. 447–450). http://hdl.handle.net/2042/12207

By: P. Combettes

Event: Actes du Quinzième Colloque GRETSI at Juan-les-Pins, France on September 18-22, 1995

Source: NC State University Libraries
Added: September 8, 2020

1995 journal article

Volterra filtering and higher order whiteness

IEEE Transactions on Signal Processing, 43(9), 2209–2212.

By: P. Bondon*, P. Combettes* & B. Picinbono*

co-author countries: France 🇫🇷 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1994 conference paper

A fast parallel projection algorithm for set theoretic image recovery

Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing, 5, 473–476.

By: P. Combettes* & H. Puh*

co-author countries: United States of America 🇺🇸

Event: ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing at Adelaide, Australia on April 19-22, 1994

Sources: Crossref, ORCID
Added: September 8, 2020

1994 conference paper

Convex set theoretic image recovery via chaotic iterations of approximate projections

Proceedings of 1st International Conference on Image Processing, 3, 182–186.

By: P. Combettes*

co-author countries: United States of America 🇺🇸

Event: 1st International Conference on Image Processing at Austin, Texas on November 13-16, 1994

Sources: Crossref, ORCID
Added: September 8, 2020

1994 journal article

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

IEEE Transactions on Signal Processing, 42(11), 2955–2966.

By: P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1994 journal article

Iterations of parallel convex projections in hilbert spaces

Numerical Functional Analysis and Optimization, 15(3-4), 225–243.

By: P. Combettes* & H. Puh*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1994 conference paper

Selecting Statistical Information In Set Theoretic Signal Processing

IEEE Seventh SP Workshop on Statistical Signal and Array Processing, 55–58.

By: P. Combettes* & T. Chaussalet*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸

Event: IEEE Seventh SP Workshop on Statistical Signal and Array Processing at Quebec City, Quebec, Canada on June 26-29, 1994

Sources: Crossref, ORCID
Added: September 8, 2020

1994 conference paper

Set Theoretic Signal Processing

IEEE Seventh SP Workshop on Statistical Signal and Array Processing, 1–6.

By: P. Combettes*

co-author countries: United States of America 🇺🇸

Event: IEEE Seventh SP Workshop on Statistical Signal and Array Processing at Quebec City, Quebec, Canada on June 26-29, 1994

Sources: Crossref, ORCID
Added: September 8, 2020

1994 conference paper

Synthèse ensembliste d’ondelettes

Actes de la Conférence Temps-Fréquence, Ondelettes et Multirésolution, 14.1–14.10.

By: J. Pesquet & P. Combettes

Event: Actes de la Conférence Temps-Fréquence, Ondelettes et Multirésolution at Lyon, France on March 9-11, 1994

Source: NC State University Libraries
Added: September 8, 2020

1993 conference paper

A simultaneous projection method for inconsistent signal and image feasibility problems

Proceedings of the Eighth IEEE Workshop on Image and Multidimensional Signal Processing, 32–33.

By: P. Combettes

Event: Proceedings of the Eighth IEEE Workshop on Image and Multidimensional Signal Processing at Cannes, France on September 8-10, 1993

Source: NC State University Libraries
Added: September 8, 2020

1993 chapter

Estimation en présence de modèles incertains: sélection de formulations ensemblistes

In Actes du Quatorzième Colloque GRETSI (pp. 205–208). http://hdl.handle.net/2042/12154

By: P. Combettes & T. Chaussalet

Event: Actes du Quatorzième Colloque GRETSI at Juan-les-Pins, France on September 13-16, 1993

Source: NC State University Libraries
Added: September 8, 2020

1993 conference paper

Parallel projection methods for set theoretic signal reconstruction and restoration

IEEE International Conference on Acoustics Speech and Signal Processing. Presented at the 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing, Minneapolis, Minnesota.

By: P. Combettes* & H. Puh*

co-author countries: United States of America 🇺🇸

Event: 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing at Minneapolis, Minnesota on April 27-30, 1993

Sources: Crossref, ORCID
Added: January 5, 2020

1993 journal article

Signal recovery by best feasible approximation

IEEE Transactions on Image Processing, 2(2), 269–271.

By: P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1993 journal article

The foundations of set theoretic estimation

Proceedings of the IEEE, 81(2), 182–208.

By: P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1993 conference paper

Volterra prediction models and higher order whiteness

IEEE International Conference on Acoustics Speech and Signal Processing. Presented at the 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing, Minneapolis, Minnesota.

By: P. Bondon*, P. Combettes* & B. Picinbono*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing at Minneapolis, Minnesota on April 27-30, 1993

Sources: Crossref, ORCID
Added: January 5, 2020

1992 journal article

A bound for the zeros of polynomials

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 39(6), 476–478.

By: M. Zilovic*, L. Roytman*, P. Combettes* & M. Swamy*

co-author countries: Canada 🇨🇦 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1992 conference paper

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

ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing. Presented at the ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, San Francisco, California.

By: P. Combettes*, M. Benidir* & B. Picinbono*

co-author countries: France 🇫🇷 United States of America 🇺🇸

Event: ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing at San Francisco, California on March 23-26, 1992

Sources: Crossref, ORCID
Added: January 5, 2020

1992 journal article

Best stable and invertible approximations for ARMA systems

IEEE Transactions on Signal Processing, 40(12), 3066–3069.

By: P. Combettes* & H. Trussell n

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1992 journal article

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

Journal of Visual Communication and Image Representation, 3(4), 307–315.

By: P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1992 conference paper

Large dimensional random matrix theory for signal detection and estimation in array processing

IEEE Sixth SP Workshop on Statistical Signal and Array Processing, 276–279.

By: J. Silverstein n & P. Combettes*

co-author countries: United States of America 🇺🇸

Event: IEEE Sixth SP Workshop on Statistical Signal and Array Processing at Victoria, British Columbia, Canada on October 7-9, 1992

Sources: Crossref, ORCID
Added: August 25, 2020

1992 journal article

Signal detection via spectral theory of large dimensional random matrices

IEEE Transactions on Signal Processing, 40(8), 2100–2105.

By: J. Silverstein n & P. Combettes*

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1992 conference paper

What is a good estimate?

Proceedings of the European Signal Processing Conference, 713–716.

By: P. Combettes & W. Edmonson

Event: Proceedings of the European Signal Processing Conference at Brussels, Belgium on August 24-27, 1992

Source: NC State University Libraries
Added: September 8, 2020

1991 conference paper

Critères de qualité en estimation ensembliste

Actes du Treizième Colloque GRETSI, 249–252. Juan-les-Pins.

By: P. Combettes & T. Chaussalet

Event: Actes du Treizième Colloque GRETSI at Juan-les-Pins, France on September 16-20, 1991

Source: NC State University Libraries
Added: September 8, 2020

1991 journal article

Set theoretic estimation by random search

IEEE Transactions on Signal Processing, 39(7), 1669–1671.

By: P. Combettes* & H. Trussell n

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1991 conference paper

The foundations of set theoretic estimation

[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing. Presented at the ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, Toronto, Ontario, Canada.

By: P. Combettes* & M. Civanlar*

co-author countries: United States of America 🇺🇸

Event: ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing at Toronto, Ontario, Canada on April 14-17, 1991

Sources: Crossref, ORCID
Added: January 5, 2020

1991 journal article

The use of noise properties in set theoretic estimation

IEEE Transactions on Signal Processing, 39(7), 1630–1641.

By: P. Combettes* & H. Trussell n

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1990 journal article

Method of successive projections for finding a common point of sets in metric spaces

Journal of Optimization Theory and Applications, 67(3), 487–507.

By: P. Combettes* & H. Trussell n

co-author countries: United States of America 🇺🇸
author keywords: SUCCESSIVE PROJECTIONS; CONVERGENCE; NONLINEAR OPTIMIZATION; SET-VALUED PROJECTIONS; METRIC SPACES
Sources: Crossref, ORCID
Added: August 29, 2019

1990 conference paper

New methods for the synthesis of set theoretic estimates (digital signal processing)

International Conference on Acoustics, Speech, and Signal Processing, 2531–2534.

By: P. Combettes n & H. Trussell n

co-author countries: United States of America 🇺🇸

Event: International Conference on Acoustics, Speech, and Signal Processing at Albuquerque, New Mexico on April 3-6, 1990

Sources: Crossref, ORCID
Added: September 8, 2020

1990 conference paper

Set theoretic autoregressive spectral estimation

Fifth ASSP Workshop on Spectrum Estimation and Modeling. Presented at the Fifth ASSP Workshop on Spectrum Estimation and Modeling, Rochester, New York.

By: P. Combettes* & H. Trussell n

co-author countries: United States of America 🇺🇸

Event: Fifth ASSP Workshop on Spectrum Estimation and Modeling at Rochester, New York on October 10-12, 1990

Sources: Crossref, ORCID
Added: January 5, 2020

1989 conference paper

General order moments in set theoretic estimation

International Conference on Acoustics, Speech, and Signal Processing, 2531–2534.

By: P. Combettes n & H. Trussell n

co-author countries: United States of America 🇺🇸

Event: International Conference on Acoustics, Speech, and Signal Processing at Glasgow, Scotland on May 23-26, 1989

Sources: Crossref, ORCID
Added: September 8, 2020

1989 journal article

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

IEEE Transactions on Acoustics, Speech, and Signal Processing, 37(3), 393–401.

By: P. Combettes n & H. Trussell n

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 29, 2019

1988 conference paper

Stability of the linear prediction filter: a set theoretic approach

ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing, 2288–2291.

By: P. Combettes n & H. Trussell n

co-author countries: United States of America 🇺🇸

Event: ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing at New York, NY on April 11-14, 1988

Sources: Crossref, ORCID
Added: September 8, 2020

1987 conference paper

Considerations for the restoration of stochastic degradations

ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing, 1209–1212.

By: H. Trussell n & P. Combettes n

co-author countries: United States of America 🇺🇸

Event: IEEE International Conference on Acoustics, Speech, and Signal Processing at Dallas, Texas on April 6-9, 1987

Sources: Crossref, ORCID
Added: September 8, 2020

1987 conference paper

Modèles et algorithmes en vue de la restauration numérique d’images rayons-X

Actes du Colloque MARI-Cognitiva Electronic Image, 146–151.

By: P. Combettes & H. Trussell

Event: Actes du Colloque MARI-Cognitiva Electronic Image at Paris, France on May 18-22, 1987

Source: NC State University Libraries
Added: September 8, 2020

Employment

Updated: August 29th, 2019 22:07

North Carolina State University Raleigh, NC, US
Distinguished Professor Mathematics

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