Works (161)

2020 journal article

Deep Neural Network Structures Solving Variational Inequalities

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

By: P. Combettes & J. Pesquet

Sources: Crossref, ORCID
Added: September 8, 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

Sources: Crossref, ORCID
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

Sources: Crossref, ORCID
Added: September 8, 2020

2020 journal article

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

Statistics in Biosciences, 6.

By: P. Combettes & C. Müller

Sources: Web Of Science, Crossref, ORCID
Added: July 6, 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

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 & P. Combettes

Sources: Crossref, ORCID
Added: September 8, 2020

2019 journal article

Learning with optimal interpolation norms

NUMERICAL ALGORITHMS, 81(2), 695–717.

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

Sources: Web Of Science, ORCID
Added: June 17, 2019

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 & J. Pesquet

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, S. Salzo & S. Villa

Sources: NC State University Libraries, 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 & J. Pesquet

Event: at Rome, Italy on September 3-7, 2018

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

2018 journal article

Monotone operator theory in convex optimization

Mathematical Programming, 170(1), 177–206.

By: P. Combettes

Sources: NC State University Libraries, 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 & C. Muller

Sources: NC State University Libraries, 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

Sources: NC State University Libraries, 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, S. Salzo & S. Villa

Sources: NC State University Libraries, 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 & L. Fillatre

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 book

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

In CMS Books in Mathematics.

By: H. Bauschke & P. Combettes

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

Sources: NC State University Libraries, 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

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.

By: P. Combettes & J. Pesquet

Source: NC State University Libraries
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

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

Source: NC State University Libraries
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

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

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

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

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

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

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

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

Sources: Crossref, ORCID
Added: July 28, 2019

2014 journal article

Modern convex analysis

Mathematical Programming, B148, 1–2.

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

Source: NC State University Libraries
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

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

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

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

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

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

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

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

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

Sources: Crossref, ORCID
Added: July 27, 2019

2011 book

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

In H. H. Bauschke, R. S. Burachik, P. L. Combettes, V. Elser, D. R. Luke, & H. Wolkowicz (Eds.), Springer Optimization and Its Applications.

By: N. Libraries

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

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

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

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

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

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

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

Sources: NC State University Libraries, 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

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

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

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

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

Sources: NC State University Libraries, 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

Source: NC State University Libraries
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

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

Sources: NC State University Libraries, 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

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

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

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

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

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

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. Retrieved from 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 Proceedings of the European Signal Processing Conference, Poznan, Poland.

By: P. Combettes & J. Pesquet

Event: Proceedings of the 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

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

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.

By: P. Combettes & J. Pesquet

Event: 2004 International Conference on Image Processing, 2004. ICIP '04.

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

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

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

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

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.

By: P. Combettes & V. Wajs

Event: 2004 International Conference on Image Processing, 2004. ICIP '04.

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.

By: P. Combettes & J. Pesquet

Event: 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing

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

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

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

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 *

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.

By: P. Combettes & J. Pesquet

Event: International Conference on Image Processing

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

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

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

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

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

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, 2003. Proceedings.

By: P. Combettes & J. Pesquet

Event: Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings.

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

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.

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

Event: ICIP 2002 International Conference on Image Processing

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.

By: P. Combettes

Event: 1998 IEEE International Conference on Acoustics, Speech, and Signal Processing

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.

By: J. Luo & P. Combettes

Event: 2000 International Conference on Acoustics, Speech and Signal Processing

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.

By: P. Combettes

Event: 2000 International Conference on Acoustics, Speech and Signal Processing

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

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).

By: P. Combettes & J. Pesquet

Event: Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)

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.

By: P. Combettes

Event: 2001 International Conference on Image Processing

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

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.

By: P. Combettes

Event: 3rd IEEE International Conference on Image Processing

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.

By: P. Combettes & P. Bondon

Event: 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing

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

Event: IPCIP'98 International Conference on Image Processing

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.

By: H. Puh & P. Combettes

Event: 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings

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

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

Sources: Crossref, ORCID
Added: August 18, 2019

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

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

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

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

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

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

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

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

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

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

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

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

Event: 1995 International Conference on Acoustics, Speech, and Signal Processing

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

Event: International Conference on Image Processing

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

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). Retrieved from 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

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

Event: ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing

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

Event: 1st International Conference on Image Processing

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

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

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

Event: IEEE Seventh SP Workshop on Statistical Signal and Array Processing

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

Event: IEEE Seventh SP Workshop on Statistical Signal and Array Processing

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). Retrieved from 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 Proceedings of ICASSP '93.

By: P. Combettes & H. Puh

Event: Proceedings of ICASSP '93

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

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

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 Proceedings of ICASSP '93.

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

Event: Proceedings of ICASSP '93

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

Sources: Crossref, ORCID
Added: August 29, 2019

1992 conference paper

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

[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing. Presented at the [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

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

Event: [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing

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

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

Sources: Crossref, ORCID
Added: August 29, 2019

1992 conference paper

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

[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing, 276–279.

By: J. Silverstein & P. Combettes

Event: [1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing

Sources: Crossref, ORCID
Added: September 8, 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 & P. Combettes

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

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 [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

By: P. Combettes & M. Civanlar

Event: [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing

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

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

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 & H. Trussell

Event: International Conference on Acoustics, Speech, and Signal Processing

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.

By: P. Combettes & H. Trussell

Event: Fifth ASSP Workshop on Spectrum Estimation and Modeling

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 & H. Trussell

Event: International Conference on Acoustics, Speech, and Signal Processing

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 & H. Trussell

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 & H. Trussell

Event: ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing

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 & P. Combettes

Event: IEEE International Conference on Acoustics, Speech, and Signal Processing

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

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