Publications (33)
Stochastic Quasi-Fejér Block-Coordinate Fixed Point Iterations With Random Sweeping II: Mean-Square and Linear Convergence
Patrick L. Combettes, Jean-Christophe Pesquet
Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions
Abdullah Alotaibi, Patrick L. Combettes, Naseer Shahzad
Variable Metric Forward-Backward Splitting with Applications to Monotone Inclusions in Duality
Patrick L. Combettes, Bang C. VÅ©
Quasinonexpansive Iterations on the Affine Hull of Orbits: From Mann's Mean Value Algorithm to Inertial Methods
Patrick L. Combettes, Lilian E. Glaudin
Monotone Operator Methods for Nash Equilibria in Non-Potential Games
Luis M. Briceno-Arias, Patrick L. Combettes
Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum monotone operators
Patrick L. Combettes, Jean-Christophe Pesquet
Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of Their Kuhn-Tucker Set
Abdullah Alotaibi, Patrick L. Combettes, N. Shahzad
Stochastic Approximations and Perturbations in Forward-Backward Splitting for Monotone Operators
Patrick L. Combettes, Jean-Christophe Pesquet
Proximity for Sums of Composite Functions
Patrick L. Combettes, Dinh Dung, Bang Cong Vu
Monotone Operator Theory in Convex Optimization
Patrick L. Combettes
Regression models for compositional data: General log-contrast formulations, proximal optimization, and microbiome data applications
Patrick L. Combettes, Christian L. Müller
Perspective Functions: Proximal Calculus and Applications in High-Dimensional Statistics
Patrick L. Combettes, Christian L. Müller
Consistent Learning by Composite Proximal Thresholding
Patrick L. Combettes, Saverio Salzo, Silvia Villa
An Algorithm for Splitting Parallel Sums of Linearly Composed Monotone Operators, with Applications to Signal Recovery
Stephen Becker, Patrick L. Combettes
Stochastic forward-backward and primal-dual approximation algorithms with application to online image restoration
Patrick L. Combettes, Jean-Christophe Pesquet
Classification and regression using an outer approximation projection-gradient method
Michel Barlaud, Wafa Belhajali, Patrick L. Combettes +1
Deep Neural Network Structures Solving Variational Inequalities
Patrick L. Combettes, Jean-Christophe Pesquet
Stochastic Quasi-Fejér Block-Coordinate Fixed Point Iterations with Random Sweeping
Patrick L. Combettes, Jean-Christophe Pesquet
Perspective Maximum Likelihood-Type Estimation via Proximal Decomposition
Patrick L. Combettes, Christian L. Müller
Regularized Learning Schemes in Feature Banach Spaces
Patrick L. Combettes, Saverio Salzo, Silvia Villa
Systems of Structured Monotone Inclusions: Duality, Algorithms, and Applications
Patrick L. Combettes
Moreau's Decomposition in Banach Spaces
Patrick L. Combettes, Noli N. Reyes
Asynchronous Block-Iterative Primal-Dual Decomposition Methods for Monotone Inclusions
Patrick L. Combettes, Jonathan Eckstein
A forward-backward view of some primal-dual optimization methods in image recovery
Patrick L. Combettes, Laurent Condat, Jean-Christophe Pesquet +1
A Primal-Dual Method of Partial Inverses for Composite Inclusions
Maryam A. Alghamdi, Abdullah Alotaibi, Patrick L. Combettes +1
Learning with Optimal Interpolation Norms
Patrick L. Combettes, Andrew M. McDonald, Charles A. Micchelli +1
Perspective Functions: Properties, Constructions, and Examples
Patrick L. Combettes
Compositions and Convex Combinations of Averaged Nonexpansive Operators
Patrick L. Combettes, Isao Yamada
The Baillon-Haddad Theorem Revisited
Heinz H. Bauschke, Patrick L. Combettes
Dualization of Signal Recovery Problems
Patrick L. Combettes, Dinh Dung, Bang Cong Vu
Solving Composite Monotone Inclusions in Reflexive Banach Spaces by Constructing Best Bregman Approximations from Their Kuhn-Tucker Set
Patrick L. Combettes, Quang Van Nguyen
Kolmogorov n-Widths of Function Classes Induced by a Non-Degenerate Differential Operator: A Convex Duality Approach
Patrick L. Combettes, Dinh DÅ©ng
Variable Metric Quasi-Fejér Monotonicity
Patrick L. Combettes, Bang C. Vu