H. Attouch

发表

Fast convex optimization via inertial dynamics with Hessian driven damping

H. Attouch, J. Peypouquet, P. Redont, 2016, Journal of Differential Equations.

Fast Convergence of an Inertial Gradient-like System with Vanishing Viscosity

H. Attouch, J. Peypouquet, P. Redont, 2015, 1507.04782.

Regularized Lotka-Volterra Dynamical System as Continuous Proximal-Like Method in Optimization

M. Teboulle, H. Attouch, 2004 .

Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization

M. Teboulle, J. Bolte, H. Attouch, 2004 .

Variational convergence for functions and operators

H. Attouch, 1984 .

Duality for the Sum of Convex Functions in General Banach Spaces

H. Attouch, H. Brezis, 1986 .

THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM

H. Attouch, P. Redont, X. Goudou, 2000 .

A convergence theory for saddle functions

R. Wets, H. Attouch, 1983 .

Variational Sum of Monotone Operators

H. Attouch, J. Baillon, 1994 .

A General Duality Principle for the Sum of Two Operators 1

H. Attouch, 1996 .

An Inertial Proximal Method for Maximal Monotone Operators via Discretization of a Nonlinear Oscillator with Damping

H. Attouch, F. Alvarez, 2001 .

A second-order gradient-like dissipative dynamical system with Hessian-driven damping.: Application to optimization and mechanics

J. Bolte, H. Attouch, P. Redont, 2002 .

Convergence of damped inertial dynamics governed by regularized maximally monotone operators

H. Attouch, A. Cabot, 2018, Journal of Differential Equations.

Fast inertial dynamics and FISTA algorithms in convex optimization. Perturbation aspects

H. Attouch, Z. Chbani, 2015, 1507.01367.

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods

Benar Fux Svaiter, Hédy Attouch, Jérôme Bolte, 2013, Math. Program..

Alternating Proximal Algorithms for Weakly Coupled Minimization Problems. Applications to Dynamical Games and PDE’s

J. Bolte, H. Attouch, P. Redont, 2008 .

ALTERNATING PROXIMAL ALGORITHMS FOR CONSTRAINED VARIATIONAL INEQUALITIES. APPLICATION TO DOMAIN DECOMPOSITION FOR PDE’S

H. Attouch, A. Cabot, P. Frankel, 2010 .

Local Search Proximal Algorithms as Decision Dynamics with Costs to Move

H. Attouch, A. Soubeyran, H. Attouch, 2011 .

APPROXIMATION AND CONVERGENCE IN NONLINEAR OPTIMIZATION

R. Wets, H. Attouch, 1981 .

ON THE FAST CONVERGENCE OF AN INERTIAL GRADIENT-LIKE DYNAMICS WITH VANISHING VISCOSITY

H. Attouch, J. Peypouquet, P. Redont, 2015 .

Alternating proximal algorithms for linearly constrained variational inequalities: Application to do

H. Attouch, J. Peypouquet, A. Cabot, 2011 .

On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

Hédy Attouch, Jérôme Bolte, J. Bolte, 2008, Math. Program..

The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than 1/k2

Hedy Attouch, Juan Peypouquet, H. Attouch, 2015, SIAM J. Optim..

FAST CONVERGENCE OF INERTIAL DYNAMICS AND ALGORITHMS WITH ASYMPTOTIC VANISHING DAMPING

H. Attouch, J. Peypouquet, P. Redont, 2015 .

Quantitative stability of variational systems. I. The epigraphical distance

R. Wets, H. Attouch, 1991 .

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality

Hédy Attouch, Patrick Redont, Antoine Soubeyran, 2008, Math. Oper. Res..

A second-order differential system with hessian-driven damping; application to non-elastic shock laws

H. Attouch, P. Redont, P. Maingé, 2012 .

Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3

H. Attouch, Z. Chbani, H. Riahi, 2017, ESAIM: Control, Optimisation and Calculus of Variations.

Augmented Lagrangian and Proximal Alternating Direction Methods of Multipliers in Hilbert spaces . Applications to Games , PDE ’ s and Control

Hedy Attouch, Mohamed Soueycatt, H. Attouch, 2019 .

The rate of convergence of Nesterov's accelerated forward-backward method is actually $o(k^{-2})$

H. Attouch, J. Peypouquet, 2015 .

L p approximation of varitional problems in L 1 and L

H. Attouch, R. Cominetti, 1999 .

Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator

H. Attouch, B. Abbas, 2014, 1403.6312.

A Dynamical Approach to Convex Minimization Coupling Approximation with the Steepest Descent Method

H. Attouch, R. Cominetti, 1996 .

The heavy ball with friction dynamical system for convex constrained minimization problems

H. Attouch, F. Alvarez, 2000 .

Asymptotic behavior of coupled dynamical systems with multiscale aspects

H. Attouch, Marc-Olivier Czarnecki, 2009, 0904.0397.

ASYMPTOTIC BEHAVIOR OF SECOND-ORDER DISSIPATIVE EVOLUTION EQUATIONS COMBINING POTENTIAL WITH NON-POTENTIAL EFFECTS ∗

H. Attouch, P. Maingé, 2009, 0905.0092.

A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity O(1/n^2)

B. Svaiter, H. Attouch, M. Alves, 2015, 1502.04286.

Asymptotic Control and Stabilization of Nonlinear Oscillators with Non-isolated Equilibria

H. Attouch, Marc-Olivier Czarnecki, 2002 .

Asymptotic behavior of nonautonomous monotone and subgradient evolution equations

H. Attouch, A. Cabot, Marc-Olivier Czarnecki, 2016, 1601.00767.

Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions

H. Attouch, A. Cabot, 2019, Applied Mathematics & Optimization.

Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method

H. Attouch, D. Azé, 1993 .

Fast optimization via inertial dynamics with closed-loop damping

H. Attouch, R. Boţ, E. R. Csetnek, 2020, Journal of the European Mathematical Society.

Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient

H. Attouch, A. Cabot, Z. Chbani, 2018 .

Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity

Hedy Attouch, Alexandre Cabot, H. Attouch, 2017 .

The Second-order in Time Continuous Newton Method

H. Attouch, H. Attouch, P. Redont, 2001 .

Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction

Samir Adly, Hedy Attouch, Alexandre Cabot, 2006 .

Worthwhile-to-move behaviors as temporary satisficing without too many sacrificing processes

H. Attouch, A. Soubeyran, 2009, 0905.1238.

Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling

H. Attouch, Z. Chbani, H. Riahi, 2020, Evolution Equations & Control Theory.

Fast convex optimization via time scaling of damped inertial gradient dynamics

H. Attouch, Z. Chbani, H. Riahi, 2020 .

Continuous Newton-like Inertial Dynamics for Monotone Inclusions

H. Attouch, S. László, 2020, Set-Valued and Variational Analysis.

Fast convex optimization via a third-order in time evolution equation

H. Attouch, Z. Chbani, H. Riahi, 2020, Optimization.

RETRACTED ARTICLE: Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients

H. Attouch, Z. Chbani, H. Riahi, 2020 .

Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients

H. Attouch, Z. Chbani, H. Riahi, 2020 .

Finite convergence of proximal-gradient inertial algorithms with dry friction damping

H. Attouch, S. Adly, 2019 .

MULTIOBJECTIVE OPTIMIZATION : AN INERTIAL DYNAMICAL APPROACH TO PARETO OPTIMA

H. Attouch, Guillaume Garrigos, 2015 .

Combining fast inertial dynamics for convex optimization with Tikhonov regularization

H. Attouch, Z. Chbani, 2016, 1602.01973.

Weak Versus Strong Convergence of a Regularized Newton Dynamic for Maximal Monotone Operators

H. Attouch, J. Baillon, 2018 .

A proximal-Newton method for monotone inclusions in Hilbert spaces with complexityO(1=k 2 ).

H. Attouch, 2014 .

A Continuous Gradient-like Dynamical Approach to Pareto-Optimization in Hilbert Spaces

H. Attouch, X. Goudou, 2014 .

A parallel splitting method for weakly coupled monotone inclusions

P. L. Combettes, H. Attouch, L. Briceño-Arias, 2009, 0902.4415.

The Epi-Continuation Method for Minimization Problems. Relation with the Degree Theory of F. Browder for Maximal Monotone Operators

H. Attouch, H. Riahi, 1989 .

On Continuity Properties of the Partial Legendre-Fenchel Transform: Convergence of Sequences of Augmented Lagrangian Functions, Moreau-Yosida Approximates and Subdifferential Operators

R. Wets, H. Attouch, D. Azé, 1986 .

Journal of Convex Analysis

Boris S. Mordukhovich, Jonathan M. Borwein, Alexander D. Ioffe, 2012 .

Alternating minimization and projection methods for structured nonconvex problems

J. Bolte, H. Attouch, P. Redont, 2017 .

Convergence of inertial dynamics driven by sums of potential and nonpotential operators and with implicit Newton-like damping

H. Attouch, S. Adly, Van Nam Vo, 2022 .

Preservation or not of the maximally monotone property by graph-convergence

R. Rockafellar, H. Attouch, S. Adly, 2022 .

An SDE perspective on stochastic convex optimization

J. Fadili, H. Attouch, R. Soto, 2022, 2207.02750.

Stability of the geometric Ekeland variational principle: Convex case

H. Attouch, G. Beer, 1994 .

Asymptotic behavior of Newton-like inertial dynamics involving the sum of potential and nonpotential terms

H. Attouch, S. Adly, Van Nam Vo, 2021, Fixed Point Theory and Algorithms for Sciences and Engineering.

Alternating minimization and projection methods for nonconvex problems

J. Bolte, H. Attouch, P. Redont, 2008 .

Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators

H. Attouch, S. Adly, Van Nam Vo, 2022, Applied Mathematics & Optimization.

Accelerated gradient methods with strong convergence to the minimum norm minimizer: a dynamic approach combining time scaling, averaging, and Tikhonov regularization

H. Attouch, Z. Chbani, H. Riahi, 2022, 2211.10140.

Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions

H. Attouch, A. Cabot, 2019, Applied Mathematics & Optimization.

Weak Versus Strong Convergence of a Regularized Newton Dynamic for Maximal Monotone Operators

H. Attouch, J. Baillon, 2017, Vietnam Journal of Mathematics.

Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients

H. Attouch, Z. Chbani, H. Riahi, 2020, Vietnam Journal of Mathematics.

A strongly convergent primal–dual method for nonoverlapping domain decomposition

P. L. Combettes, H. Attouch, L. Briceño-Arias, 2015, Numerische Mathematik.

The Topology of the , z-Hausdorff Distance

H. Attouch, 2005 .

Variational properties of EPI-convergence, applications to limit analysis problems in mechanics and duality theory

H. Attouch, 1984 .

Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators

H. Attouch, J. Peypouquet, 2018, Mathematical Programming.

Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity

H. Attouch, J. Peypouquet, P. Redont, 2016, Mathematical Programming.

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods

J. Bolte, B. Svaiter, H. Attouch, 2011, Mathematical Programming.

Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces

B. Svaiter, H. Attouch, B. Abbas, 2013, Journal of Optimization Theory and Applications.

A Continuous Gradient-like Dynamical Approach to Pareto-Optimization in Hilbert Spaces

H. Attouch, X. Goudou, 2013, Set-Valued and Variational Analysis.

Finite time stabilization of continuous inertial dynamics combining dry friction with Hessian-driven damping

H. Attouch, S. Adly, 2020 .

Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics

J. Fadili, H. Attouch, Z. Chbani, 2021, Journal of Optimization Theory and Applications.

Fast convex optimization via closed-loop time scaling of gradient dynamics

H. Attouch, Dang-Khoa Nguyen, R. Boț, 2023, 2301.00701.

Continuous Newton-like Methods Featuring Inertia and Variable Mass

J. Fadili, H. Attouch, M. Fadili, 2023, SIAM J. Optim..

Accelerated gradient methods combining Tikhonov regularization with geometric damping driven by the Hessian

H. Attouch, Z. Chbani, H. Riahi, 2022, 2203.05457.

Damped inertial dynamics with vanishing Tikhonov regularization: Strong asymptotic convergence towards the minimum norm solution

Zaki Chbani, Hedy Attouch, Hassan Riahi, 2021, Journal of Differential Equations.

Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution

Szilard Laszlo, Hedy Attouch, H. Attouch, 2021, 2104.11987.

From the Ravine method to the Nesterov method and vice versa: a dynamical system perspective

H. Attouch, M. Fadili, 2022, SIAM J. Optim..

On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping

J. Fadili, H. Attouch, V. Kungurtsev, 2021, Evolution Equations and Control Theory.

Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics

Zaki Chbani, Hedy Attouch, Jalal Fadili, 2021, Journal of Optimization Theory and Applications.

Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping

Zaki Chbani, Hedy Attouch, Jalal Fadili, 2021, Optimization.

On the effect of perturbations, errors in first-order optimization methods with inertia and Hessian driven damping

Vyacheslav Kungurtsev, Hedy Attouch, Jalal Fadili, 2021 .

First-order optimization algorithms via inertial systems with Hessian driven damping

Zaki Chbani, Hedy Attouch, Jalal Fadili, 2019, Mathematical Programming.

Convergence rate of a relaxed inertial proximal algorithm for convex minimization

Hedy Attouch, Alexandre Cabot, H. Attouch, 2019, Optimization.

Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics

Hedy Attouch, Zaki Chbani, Hassan Riahi, 2019, SIAM J. Optim..

Convergence of a relaxed inertial proximal algorithm for maximally monotone operators

Hedy Attouch, Alexandre Cabot, H. Attouch, 2019, Mathematical Programming.

Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators

Juan Peypouquet, Hédy Attouch, H. Attouch, 2017, Mathematical Programming.

Convergence Rate of Proximal Inertial Algorithms Associated with Moreau Envelopes of Convex Functions

H. Attouch, J. Peypouquet, HEDY ATTOUCH, 2019, Splitting Algorithms, Modern Operator Theory, and Applications.

Inertial Forward–Backward Algorithms with Perturbations: Application to Tikhonov Regularization

H. Attouch, A. Cabot, Z. Chbani, 2018, Journal of Optimization Theory and Applications.

Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity

Juan Peypouquet, Hédy Attouch, Zaki Chbani, 2018, Math. Program..

Backward–forward algorithms for structured monotone inclusions in Hilbert spaces☆

Juan Peypouquet, Patrick Redont, Hedy Attouch, 2018 .

A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization

Juan Peypouquet, Hédy Attouch, Patrick Redont, 2014, SIAM J. Optim..

Variational Analysis in Sobolev and BV Spaces - Applications to PDEs and Optimization, Second Edition

Giorgio C. Buttazzo, Hédy Attouch, Gérard Michaille, 2014, MPS-SIAM series on optimization.

A New Class of Alternating Proximal Minimization Algorithms with Costs-to-Move

Patrick Redont, Antoine Soubeyran, Hédy Attouch, 2007, SIAM J. Optim..

First-order inertial algorithms involving dry friction damping

H. Attouch, S. Adly, 2021, Mathematical programming.

A dynamic gradient approach to Pareto optimization with nonsmooth convex objective functions

Hedy Attouch, Guillaume Garrigos, H. Attouch, 2014, 1406.1694.

Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping

Samir Adly, Hédy Attouch, H. Attouch, 2020, SIAM J. Optim..

Convergence Rates of Inertial Forward-Backward Algorithms

Hédy Attouch, Alexandre Cabot, H. Attouch, 2018, SIAM J. Optim..

A Parallel Splitting Method for Coupled Monotone Inclusions

Patrick L. Combettes, Hédy Attouch, Luis M. Briceño-Arias, 2009, SIAM J. Control. Optim..

The topology of theρ-hausdorff distance

Roberto Lucchetti, Roger J.-B. Wets, Hedy Attouch, 1991 .

On some inverse stability problems for the epigraphical sum

Gerald Beer, Hedy Attouch, D. Azé, 1991 .

Epi-convergence and duality. Convergence of sequences of marginal and lagrangians functions. Applications to homogenization problems in mechanics

H. Attouch, 1986 .

Quantitative stability of variational systems: III.ε-approximate solutions

Roger J.-B. Wets, Hédy Attouch, R. Wets, 1993, Math. Program..

Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces

Benar Fux Svaiter, Hédy Attouch, Patrick Redont, 2013, J. Optim. Theory Appl..

Variational inequalities with varying obstacles: The general form of the limit problem

Hédy Attouch, H. Attouch, Colette Picard, 1983 .

Accelerated dynamics with dry friction via time scaling and averaging of doubly nonlinear evolution equations

H. Attouch, S. Adly, 2023, Nonlinear Analysis: Hybrid Systems.

A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions

Benar Fux Svaiter, Hédy Attouch, B. Svaiter, 2011, SIAM J. Control. Optim..

Viscosity Solutions of Minimization Problems

Hédy Attouch, H. Attouch, 1996, SIAM J. Optim..

Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators

Hedy Attouch, Szilárd László, H. Attouch, 2020, SIAM J. Optim..

Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning

Roger J.-B. Wets, Hédy Attouch, R. Wets, 1993, SIAM J. Optim..

Comparative Analysis of Accelerated Gradient Algorithms for Convex Optimization: High and Super Resolution ODE Approach

H. Attouch, Samir Adly, Jalal M. Fadili, 2023 .

Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization (Mps-Siam Series on Optimization 6)

Giuseppe Buttazzo, Gérard Michaille, Hedy Attouch, 2005 .

Quantitative stability analysis for maximal monotone operators and semi-groups of contractions

Abdellatif Moudafi, Hedy Attouch, Hassan Riahi, 1993 .

ISOMETRIES FOR THE LEGENDRE-FENCHEL TRANSFORM

Roger J.-B. Wets, Hedy Attouch, R. Wets, 1986 .

A convergence for bivariate functions aimed at the convergence of saddle values

Roger J.-B. Wets, Hedy Attouch, R. Wets, 1983 .

A convergence theory for saddle functions

R. Wets, H. Attouch, 1983 .

On the convergence of subdifferentials of convex functions

H. Attouch, G. Beer, 1993 .

Variational Convergence for Functions and Operators (Applicable Mathematics Series)

H. Attouch, H Attouch, 1984 .

Optimizing properties of an inertial dynamical system with geometric damping : link with proximal methods

Patrick Redont, Jérôme Bolte, Hedy Attouch, 2002 .

Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian

H. Attouch, Z. Chbani, H. Riahi, 2022, Applied Mathematics & Optimization.

Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces

Benar Fux Svaiter, Hédy Attouch, B. Abbas, 2014, J. Optim. Theory Appl..

ESAIM: Control, Optimisation and Calculus of Variations

H. Attouch, F. Alvarez, 2022 .

On multivalued evolution equations in Hilbert spaces

H. Attouch, A. Damlamian, 1972 .

Prox-Penalization and Splitting Methods for Constrained Variational Problems

Juan Peypouquet, Hédy Attouch, Marc-Olivier Czarnecki, 2011, SIAM J. Optim..