Hédy Attouch

Hédy Attouch's AcademicInfluence.com Rankings

Hédy Attouch

Mathematics

#6645

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#9164

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Functional Analysis

#43

World Rank

#60

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Measure Theory

#1483

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#1854

Historical Rank

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Mathematics

Hédy Attouch's Degrees

PhD Mathematics University of Montpellier

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Hédy Attouch's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Variational convergence for functions and operators (1984) (1568)
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods (2013) (1150)
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality (2008) (981)
An Inertial Proximal Method for Maximal Monotone Operators via Discretization of a Nonlinear Oscillator with Damping (2001) (574)
On the convergence of the proximal algorithm for nonsmooth functions involving analytic features (2008) (542)
Variational Analysis in Sobolev and BV Spaces - Applications to PDEs and Optimization, Second Edition (2014) (412)
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 (2000) (253)
The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than 1/k2 (2015) (224)
Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity (2018) (219)
Duality for the Sum of Convex Functions in General Banach Spaces (1986) (208)
Variational Convergence for Functions and Operators (Applicable Mathematics Series) (1984) (177)
Quantitative stability of variational systems. I. The epigraphical distance (1991) (175)
A General Duality Principle for the Sum of Two Operators 1 (1996) (168)
A second-order gradient-like dissipative dynamical system with Hessian-driven damping.: Application to optimization and mechanics (2002) (166)
A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization (2014) (156)
Alternating Proximal Algorithms for Weakly Coupled Minimization Problems. Applications to Dynamical Games and PDE’s (2008) (153)
A Dynamical Approach to Convex Minimization Coupling Approximation with the Steepest Descent Method (1996) (144)
Viscosity Solutions of Minimization Problems (1996) (140)
Asymptotic Control and Stabilization of Nonlinear Oscillators with Non-isolated Equilibria (2002) (115)
A convergence theory for saddle functions (1983) (113)
A Parallel Splitting Method for Coupled Monotone Inclusions (2009) (112)
The topology of theρ-hausdorff distance (1991) (111)
Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning (1993) (106)
Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method (1993) (98)
Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3 (2017) (97)
ISOMETRIES FOR THE LEGENDRE-FENCHEL TRANSFORM (1986) (93)
Fast convex optimization via inertial dynamics with Hessian driven damping (2016) (92)
Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces (2014) (90)
Convergence Rates of Inertial Forward-Backward Algorithms (2018) (84)
APPROXIMATION AND CONVERGENCE IN NONLINEAR OPTIMIZATION (1981) (84)
Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization (Mps-Siam Series on Optimization 6) (2005) (83)
A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions (2011) (83)
Variational inequalities with varying obstacles: The general form of the limit problem (1983) (81)
A New Class of Alternating Proximal Minimization Algorithms with Costs-to-Move (2007) (80)
First-order optimization algorithms via inertial systems with Hessian driven damping (2019) (78)
Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators (2017) (71)
Asymptotic behavior of coupled dynamical systems with multiscale aspects (2009) (71)
Stability Results for Ekeland's ε-Variational Principle and Cone Extremal Solutions (1993) (71)
Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity (2017) (70)
Quantitative stability of variational systems: III.ε-approximate solutions (1993) (69)
Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities (2011) (69)
Prox-Penalization and Splitting Methods for Constrained Variational Problems (2011) (58)
Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions (2019) (58)
On multivalued evolution equations in Hilbert spaces (1972) (58)
The heavy ball with friction dynamical system for convex constrained minimization problems (2000) (57)
Convergence of a relaxed inertial proximal algorithm for maximally monotone operators (2019) (56)
Alternating minimization and projection methods for nonconvex problems (2008) (53)
Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics (2019) (50)
Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator (2014) (50)
Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction (2006) (49)
A second-order differential system with hessian-driven damping; application to non-elastic shock laws (2012) (47)
Backward–forward algorithms for structured monotone inclusions in Hilbert spaces☆ (2018) (44)
ASYMPTOTIC BEHAVIOR OF SECOND-ORDER DISSIPATIVE EVOLUTION EQUATIONS COMBINING POTENTIAL WITH NON-POTENTIAL EFFECTS ∗ (2009) (42)
Regularized Lotka-Volterra Dynamical System as Continuous Proximal-Like Method in Optimization (2004) (40)
Alternating proximal algorithms for linearly constrained variational inequalities: Application to do (2011) (39)
Combining fast inertial dynamics for convex optimization with Tikhonov regularization (2016) (39)
Strong solutions for parabolic variational inequalities (1978) (36)
Augmented Lagrangian and Proximal Alternating Direction Methods of Multipliers in Hilbert spaces . Applications to Games , PDE ’ s and Control (2019) (34)
Convergence of convex-concave saddle functions: applications to convex programming and mechanics (1988) (33)
A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity O(1/n^2) (2015) (32)
On the convergence of subdifferentials of convex functions (1993) (32)
Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces (2013) (29)
Variational Sum of Monotone Operators (1994) (27)
The rate of convergence of Nesterov's accelerated forward-backward method is actually $o(k^{-2})$ (2015) (27)
On the maximality of the sum of two maximal monotone operators (1981) (26)
Fast inertial dynamics and FISTA algorithms in convex optimization. Perturbation aspects (2015) (26)
Quantitative stability analysis for maximal monotone operators and semi-groups of contractions (1993) (26)
Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators (2020) (26)
Continuous Newton-like Inertial Dynamics for Monotone Inclusions (2020) (25)
CONVERGENCE AND ASYMPTOTIC STABILIZATION FOR SOME DAMPED HYPERBOLIC EQUATIONS WITH NON-ISOLATED EQUILIBRIA (2001) (25)
A convergence for bivariate functions aimed at the convergence of saddle values (1983) (25)
Fast convex optimization via time scaling of damped inertial gradient dynamics (2020) (24)
Fast convex optimization via time scaling of damped inertial gradient dynamics (2020) (24)
ALTERNATING PROXIMAL ALGORITHMS FOR CONSTRAINED VARIATIONAL INEQUALITIES. APPLICATION TO DOMAIN DECOMPOSITION FOR PDE’S (2010) (24)
Fast optimization via inertial dynamics with closed-loop damping (2020) (23)
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling (2020) (23)
Asymptotic behavior of nonautonomous monotone and subgradient evolution equations (2016) (23)
Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping (2020) (22)
Convergence of damped inertial dynamics governed by regularized maximally monotone operators (2018) (22)
The Second-order in Time Continuous Newton Method (2001) (21)
Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient (2018) (21)
Inertial Forward–Backward Algorithms with Perturbations: Application to Tikhonov Regularization (2018) (21)
FAST CONVERGENCE OF INERTIAL DYNAMICS AND ALGORITHMS WITH ASYMPTOTIC VANISHING DAMPING (2015) (21)
Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics (2021) (20)
On some inverse stability problems for the epigraphical sum (1991) (20)
A strongly convergent primal–dual method for nonoverlapping domain decomposition (2014) (19)
Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization (2004) (18)
Asymptotic behavior of gradient-like dynamical systems involving inertia and multiscale aspects (2016) (18)
Convergence rate of a relaxed inertial proximal algorithm for convex minimization (2019) (18)
A dynamic gradient approach to Pareto optimization with nonsmooth convex objective functions (2014) (17)
Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping (2021) (17)
On Continuity Properties of the Partial Legendre-Fenchel Transform: Convergence of Sequences of Augmented Lagrangian Functions, Moreau-Yosida Approximates and Subdifferential Operators (1986) (16)
Optimizing properties of an inertial dynamical system with geometric damping : link with proximal methods (2002) (16)
Homogenization of reinforced periodic one-codimensional structures (1987) (15)
Fast inertial proximal ADMM algorithms for convex structured optimization with linear constraint (2020) (14)
L p approximation of varitional problems in L 1 and L (1999) (14)
Fast Convergence of an Inertial Gradient-like System with Vanishing Viscosity (2015) (13)
Another isometry for the Legendre-Fenchel transform (1988) (12)
First-order inertial algorithms involving dry friction damping (2021) (11)
Damped inertial dynamics with vanishing Tikhonov regularization: Strong asymptotic convergence towards the minimum norm solution (2021) (11)
From the Ravine method to the Nesterov method and vice versa: a dynamical system perspective (2022) (11)
Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients (2020) (10)
Journal of Convex Analysis (2012) (10)
ON THE FAST CONVERGENCE OF AN INERTIAL GRADIENT-LIKE DYNAMICS WITH VANISHING VISCOSITY (2015) (8)
A Continuous Gradient-like Dynamical Approach to Pareto-Optimization in Hilbert Spaces (2014) (8)
Fast convex optimization via a third-order in time evolution equation (2020) (8)
Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution (2021) (8)
Worthwhile-to-move behaviors as temporary satisficing without too many sacrificing processes (2009) (7)
Convergence Rate of Proximal Inertial Algorithms Associated with Moreau Envelopes of Convex Functions (2019) (7)
Variational properties of EPI-convergence, applications to limit analysis problems in mechanics and duality theory (1984) (7)
On the effect of perturbations, errors in first-order optimization methods with inertia and Hessian driven damping (2021) (6)
Asymptotic analysis of variational problems with constraints of obstacle type (1982) (6)
Weak Versus Strong Convergence of a Regularized Newton Dynamic for Maximal Monotone Operators (2018) (6)
Asymptotic behavior of Newton-like inertial dynamics involving the sum of potential and nonpotential terms (2021) (6)
Lipschitzian Stability of Epsilon-Approximate Solutions in Convex Optimization (1987) (5)
Finite time stabilization of continuous inertial dynamics combining dry friction with Hessian-driven damping (2020) (5)
Homogenization for a Volterra equation (1986) (5)
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators (2022) (5)
Finite convergence of proximal-gradient inertial algorithms with dry friction damping (2019) (4)
Accelerated gradient methods combining Tikhonov regularization with geometric damping driven by the Hessian (2022) (4)
Multiibjective optimization : an inertial dynamical approach to Pareto optima (2015) (4)
Cutting and scanning methods in set-valued analysis I. An epigraphical and graphical calculus (1996) (3)
Foreword: Special issue on nonlinear convex optimization and variational inequalities (2008) (3)
Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity (2016) (3)
A Singular Riemannian Barrier Method for Constrained Minimization (2004) (2)
5. Sobolev Spaces (2006) (2)
Epi-convergence and duality. Convergence of sequences of marginal and lagrangians functions. Applications to homogenization problems in mechanics (1986) (2)
A Nonlinear Volterra Equation in Variable Domain. (1979) (2)
Set Convergences In Nonlinear Analysis and Optimization (Abstracts) (Convergences en Analyse Multivoque et Unilaterale (Resumes de Conferences) (1992) (1)
RETRACTED ARTICLE: Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients (2020) (1)
The Epi-Continuation Method for Minimization Problems. Relation with the Degree Theory of F. Browder for Maximal Monotone Operators (1989) (1)
Chapter 2: Weak solution methods in variational analysis (2014) (1)
A parallel splitting method for weakly coupled monotone inclusions (2009) (1)
Fast convex optimization via closed-loop time scaling of gradient dynamics (2023) (1)
Accelerated gradient methods with strong convergence to the minimum norm minimizer: a dynamic approach combining time scaling, averaging, and Tikhonov regularization (2022) (1)
3. Abstract Variational Principles (2006) (1)
Convergence of inertial dynamics driven by sums of potential and nonpotential operators and with implicit Newton-like damping (2022) (1)
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping (2021) (1)
Inertial Forward–Backward Algorithms with Perturbations: Application to Tikhonov Regularization (2018) (1)
Chapter 6: Variational problems: Some classical examples (2014) (1)
Fast convex optimization via time scale and averaging of the steepest descent (2022) (1)
Programme on “ Modern Maximal Monotone Operator Theory : From Nonsmooth Optimization to Differential Inclusions ” January 28 – March 8 , 2019 organized (2019) (0)
16. An Introduction to Shape Optimization Problems (2006) (0)
An SDE perspective on stochastic convex optimization (2022) (0)
4. Complements on Measure Theory (2006) (0)
Chapter 7: The finite element method (2014) (0)
Solutions fortes d'inéquation variationnelle d'évolution (1976) (0)
Chapter 9: Convex duality and optimization (2014) (0)
Fast Convergence of Dynamical ADMM via Time Scaling of Damped Inertial Dynamics (2021) (0)
11. Relaxation in Sobolev,BV, and Young Measures Spaces (2006) (0)
Chapter 8: Spectral analysis of the Laplacian (2014) (0)
A Convergence of Bivariate Functions aimed at the Convergence of Saddle Functions (1982) (0)
Preservation or not of the maximally monotone property by graph-convergence (2022) (0)
Chapter 3: Abstract variational principles (2014) (0)
A Convergence Theory for Saddle Functions Author ( s ) : (2008) (0)
Chapter 10: Spaces BV and SBV (2014) (0)
Chapter 14: Application in mechanics and computer vision (2014) (0)
14. Application in Mechanics and Computer Vision (2006) (0)
Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients (2020) (0)
in constrained optimization (Systemes dynamiques Lotka-Volterra et methodes de points interieurs en optimisation sous contraintes) (2003) (0)
Chapter 5: Sobolev spaces (2014) (0)
8. Spectral Analysis of the Laplacian (2006) (0)
The Topology of the , z-Hausdorff Distance (2005) (0)
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods (2011) (0)
Chapter 13: Integral functionals of the calculus of variations (2014) (0)
13. Integral Functional of the Calculus of Variations (2006) (0)
Chapter 11: Relaxation in Sobolev, BV, and Young measures spaces (2014) (0)
A strongly convergent primal–dual method for nonoverlapping domain decomposition (2015) (0)
Chapter 4: Complements on measure theory (2014) (0)
9. Convex Duality and Optimization (2006) (0)
Chapter 15: Variational problems with a lack of coercivity (2014) (0)
15. Variational Problems with a Lack of Coercivity (2006) (0)
Weak Versus Strong Convergence of a Regularized Newton Dynamic for Maximal Monotone Operators (2017) (0)
A proximal-Newton method for monotone inclusions in Hilbert spaces with complexityO(1=k 2 ). (2014) (0)
12. Γ-Convergence and Applications (2006) (0)
L-Theory for the Stokes and Navier-Stokes Equations with Different Boundary Conditions (2017) (0)
An Energetic Approach to Homogenization Problems with Rapidly Oscillating Potentials (1979) (0)
L p Regularization of the Non-Parametric Minimal Surface Problem (1999) (0)
7. The Finite Element Method (2006) (0)
Continuous Newton-like Methods featuring Inertia and Variable Mass (2023) (0)
RETRACTED ARTICLE: Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients (2020) (0)
A Continuous Gradient-like Dynamical Approach to Pareto-Optimization in Hilbert Spaces (2013) (0)
Asymptotic behavior of Newton-like inertial dynamics involving the sum of potential and nonpotential terms (2021) (0)
Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions (2019) (0)
Chapter 17: Gradient flows (2014) (0)
Chapter 16: An introduction to shape optimization problems (2014) (0)
Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces (2012) (0)
6. Variational Problems: Some Classical Examples (2006) (0)
Alternating minimization and projection methods for structured nonconvex problems (2013) (0)
Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators (2018) (0)
Alternating minimization and projection methods for structured nonconvex problems (2013) (0)
Chapter 12: Γ-convergence and applications (2014) (0)
2. Weak Solution Methods in Variational Analysis (2006) (0)
Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces (2013) (0)
Variational Averaging of Problems with Stochastic Data (1990) (0)

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University of Montpellier

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What Schools Are Affiliated With Hédy Attouch?

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