Patrick L. Combettes

According to our database1, Patrick L. Combettes authored at least 95 papers between 1987 and 2020.

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Awards

IEEE Fellow

IEEE Fellow 2006, "For contributions to set the theoretic methods and convex analysis in signal and image processing.".

Timeline

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Bibliography

2020
Lipschitz Certificates for Layered Network Structures Driven by Averaged Activation Operators.
SIAM J. Math. Data Sci., 2020

The Douglas-Rachford Algorithm Converges Only Weakly.
SIAM J. Control. Optim., 2020

c-lasso - a Python package for constrained sparse and robust regression and classification.
CoRR, 2020

A Fixed Point Framework for Recovering Signals from Nonlinear Transformations.
Proceedings of the 28th European Signal Processing Conference, 2020

2019
Proximal Activation of Smooth Functions in Splitting Algorithms for Convex Image Recovery.
SIAM J. Imaging Sci., 2019

Learning with optimal interpolation norms.
Numer. Algorithms, 2019

Stochastic quasi-Fejér block-coordinate fixed point iterations with random sweeping II: mean-square and linear convergence.
Math. Program., 2019

Fully Proximal Splitting Algorithms In Image Recovery.
Proceedings of the 27th European Signal Processing Conference, 2019

2018
Consistent learning by composite proximal thresholding.
Math. Program., 2018

Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions.
Math. Program., 2018

Monotone operator theory in convex optimization.
Math. Program., 2018

Linear Convergence of Stochastic Block-Coordinate Fixed Point Algorithms.
Proceedings of the 26th European Signal Processing Conference, 2018

2017
Classification and Regression Using an Outer Approximation Projection-Gradient Method.
IEEE Trans. Signal Process., 2017

Quasi-Nonexpansive Iterations on the Affine Hull of Orbits: From Mann's Mean Value Algorithm to Inertial Methods.
SIAM J. Optim., 2017

2016
A strongly convergent primal-dual method for nonoverlapping domain decomposition.
Numerische Mathematik, 2016

Stochastic forward-backward and primal-dual approximation algorithms with application to online image restoration.
Proceedings of the 24th European Signal Processing Conference, 2016

2015
Stochastic Quasi-Fejér Block-Coordinate Fixed Point Iterations with Random Sweeping.
SIAM J. Optim., 2015

2014
Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of their Kuhn-Tucker Set.
SIAM J. Optim., 2014

A primal-dual method of partial inverses for composite inclusions.
Optim. Lett., 2014

Preface.
Math. Program., 2014

A forward-backward view of some primal-dual optimization methods in image recovery.
Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

2013
Systems of Structured Monotone Inclusions: Duality, Algorithms, and Applications.
SIAM J. Optim., 2013

Moreau's decomposition in Banach spaces.
Math. Program., 2013

2012
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints.
Comput. Optim. Appl., 2012

2011
A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality.
SIAM J. Optim., 2011

Proximal Algorithms for Multicomponent Image Recovery Problems.
J. Math. Imaging Vis., 2011

Convex Analysis and Monotone Operator Theory in Hilbert Spaces
CMS Books in Mathematics, Springer, ISBN: 978-1-4419-9467-7, 2011

Proximal Splitting Methods in Signal Processing.
Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

2010
A Parallel Splitting Method for Coupled Monotone Inclusions.
SIAM J. Control. Optim., 2010

Functions with prescribed best linear approximations.
J. Approx. Theory, 2010

Proximal method for geometry and texture image decomposition.
Proceedings of the International Conference on Image Processing, 2010

Alternating proximal algorithm for blind image recovery.
Proceedings of the International Conference on Image Processing, 2010

2009
Fejér Monotonicity in Convex Optimization.
Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

Split convex minimization algorithm for signal recovery.
Proceedings of the IEEE International Conference on Acoustics, 2009

2007
Proximal Thresholding Algorithm for Minimization over Orthonormal Bases.
SIAM J. Optim., 2007

A Douglas-Rachford Splitting Approach to Nonsmooth Convex Variational Signal Recovery.
J. Sel. Topics Signal Processing, 2007

Sparse signal recovery by iterative proximal thresholding.
Proceedings of the 15th European Signal Processing Conference, 2007

2006
Extrapolation algorithm for affine-convex feasibility problems.
Numer. Algorithms, 2006

A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space.
J. Approx. Theory, 2006

A Decomposition Method for Nonsmooth Convex Variational Signal Recovery.
Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

Iterative image deconvolution using overcomplete representations.
Proceedings of the 14th European Signal Processing Conference, 2006

2005
Signal Recovery by Proximal Forward-Backward Splitting.
Multiscale Model. Simul., 2005

Parallel Block-Iterative Reconstruction Algorithms for Binary Tomography.
Electron. Notes Discret. Math., 2005

A new generation of iterative transform algorithms for phase contrast tomography.
Proceedings of the 2005 IEEE International Conference on Acoustics, 2005

2004
Image restoration subject to a total variation constraint.
IEEE Trans. Image Process., 2004

Proximal Methods for Cohypomonotone Operators.
SIAM J. Control. Optim., 2004

Finding best approximation pairs relative to two closed convex sets in Hilbert spaces.
J. Approx. Theory, 2004

Wavelet-Constrained Image Restoration.
Int. J. Wavelets Multiresolution Inf. Process., 2004

Theoretical analysis of some regularized image denoising methods.
Proceedings of the 2004 International Conference on Image Processing, 2004

Estimating first-order finite-difference information in image restoration problems.
Proceedings of the 2004 International Conference on Image Processing, 2004

Constraint construction in convex set theoretic signal recovery via Stein's principle [image denoising example].
Proceedings of the 2004 IEEE International Conference on Acoustics, 2004

2003
A block-iterative surrogate constraint splitting method for quadratic signal recovery.
IEEE Trans. Signal Process., 2003

Iterating Bregman Retractions.
SIAM J. Optim., 2003

Bregman Monotone Optimization Algorithms.
SIAM J. Control. Optim., 2003

Image deconvolution with total variation bounds.
Proceedings of the Seventh International Symposium on Signal Processing and Its Applications, 2003

Total variation information in image recovery.
Proceedings of the 2003 International Conference on Image Processing, 2003

2002
An adaptive level set method for nondifferentiable constrained image recovery.
IEEE Trans. Image Process., 2002

On the structure of some phase retrieval algorithms.
Proceedings of the 2002 International Conference on Image Processing, 2002

2001
A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces.
Math. Oper. Res., 2001

Convex set theoretic image recovery with inexact projection algorithms.
Proceedings of the 2001 International Conference on Image Processing, 2001

2000
Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization.
SIAM J. Control. Optim., 2000

A level-set subgradient projection algorithm for non-differentiable signal restoration with multiple constraints.
Proceedings of the IEEE International Conference on Acoustics, 2000

A parallel constraint disintegration and approximation scheme for quadratic signal recovery.
Proceedings of the IEEE International Conference on Acoustics, 2000

1999
Hard-constrained inconsistent signal feasibility problems.
IEEE Trans. Signal Process., 1999

A subgradient projection algorithm for nondifferentiable signal recovery.
Proceedings of the IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NSIP'99), 1999

1998
Convex Multiresolution Analysis.
IEEE Trans. Pattern Anal. Mach. Intell., 1998

Nonlinear Multiresolution Image Analysis via Convex Projections.
Proceedings of the 1998 IEEE International Conference on Image Processing, 1998

A block-iterative quadratic signal recovery algorithm.
Proceedings of the 1998 IEEE International Conference on Acoustics, 1998

Constrained pulse shape synthesis for digital communications.
Proceedings of the 9th European Signal Processing Conference, 1998

1997
Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projections.
IEEE Trans. Image Process., 1997

Hard-constrained signal feasibility problems.
Proceedings of the 1997 IEEE International Conference on Acoustics, 1997

1996
Wavelet synthesis by alternating projections.
IEEE Trans. Signal Process., 1996

Generalized convex set theoretic image recovery.
Proceedings of the Proceedings 1996 International Conference on Image Processing, 1996

Operator theoretic image coding.
Proceedings of the 1996 IEEE International Conference on Acoustics, 1996

1995
Volterra filtering and higher order whiteness.
IEEE Trans. Signal Process., 1995

Constrained image recovery in a product space.
Proceedings of the Proceedings 1995 International Conference on Image Processing, 1995

Adaptive linear filtering with convex constraints.
Proceedings of the 1995 International Conference on Acoustics, 1995

1994
Inconsistent signal feasibility problems: least-squares solutions in a product space.
IEEE Trans. Signal Process., 1994

Convex Set Theoretic Image Recovery via Chaotic Iterations of Approximate Projections.
Proceedings of the Proceedings 1994 International Conference on Image Processing, 1994

A fast parallel projection algorithm for set theoretic image recovery.
Proceedings of ICASSP '94: IEEE International Conference on Acoustics, 1994

1993
Signal recovery by best feasible approximation.
IEEE Trans. Image Process., 1993

Parallel projection methods for set theoretic signal reconstruction and restoration.
Proceedings of the IEEE International Conference on Acoustics, 1993

Volterra prediction models and higher order whiteness.
Proceedings of the IEEE International Conference on Acoustics, 1993

1992
Signal detection via spectral theory of large dimensional random matrices.
IEEE Trans. Signal Process., 1992

Best stable and invertible approximations for ARMA systems.
IEEE Trans. Signal Process., 1992

Convex set theoretic image recovery: History, current status, and new directions.
J. Vis. Commun. Image Represent., 1992

A general framework for the incorporation of uncertainty in set theoretic estimation.
Proceedings of the 1992 IEEE International Conference on Acoustics, 1992

1991
Set theoretic estimation by random search.
IEEE Trans. Signal Process., 1991

The use of noise properties in set theoretic estimation.
IEEE Trans. Signal Process., 1991

The foundations of set theoretic estimation.
Proceedings of the 1991 International Conference on Acoustics, 1991

1990
New methods for the synthesis of set theoretic estimates [digital signal processing].
Proceedings of the 1990 International Conference on Acoustics, 1990

1989
Methods for digital restoration of signals degraded by a stochastic impulse response.
IEEE Trans. Acoust. Speech Signal Process., 1989

General order moments in set theoretic estimation.
Proceedings of the IEEE International Conference on Acoustics, 1989

1988
Stability of the linear prediction filter: a set theoretic approach.
Proceedings of the IEEE International Conference on Acoustics, 1988

1987
Considerations for the restoration of stochastic degradations.
Proceedings of the IEEE International Conference on Acoustics, 1987


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