Hédy Attouch

1. Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods
   2011/08/19 by Hédy Attouch, Hedy Attouch, Jérôme Bolte +2 · 120 citations
   Engineering · Mathematics · #Sparse and Compressive Sensing Techniques #Advanced Optimization Algorithms Research #Numerical methods in inverse problems
2. Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
   2010/05/01 by Hédy Attouch, Jérôme Bolte, Patrick Redont +1 · 60 citations
   Engineering · Mathematics · #Advanced Optimization Algorithms Research #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques
3. Proximal alternating minimization and projection methods for nonconvex\n problems. An approach based on the Kurdyka-Lojasiewicz inequality
   2008/01/11 by Hédy Attouch, Jérôme Bolte, Attouch, Hedy +5 · 35 citations
   Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Numerical methods in inverse problems #Optimization and Variational Analysis
4. First-order optimization algorithms via inertial systems with Hessian\n driven damping
   2019/07/24 by Hédy Attouch, Zaki Chbani, Attouch, Hedy +5 · 9 citations
   Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Optimization and Variational Analysis #Advanced Optimization Algorithms Research
5. Fast convex optimization via inertial dynamics with Hessian driven\n damping
   2016/01/26 by Hédy Attouch, Attouch, Hedy, Juan Peypouquet +3 · 6 citations
   Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
6. Asymptotic behavior of coupled dynamical systems with multiscale aspects
   2009/04/02 by Hédy Attouch, Attouch, Hedy, Marc-Olivier Czarnecki +1 · 3 citations
   Economics, Econometrics and Finance · Mathematics · Medicine · #37N40 #46N10 #49M30 #65K05 #65K10 #90B50 #90C25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and financial applications
7. From the Ravine method to the Nesterov method and vice versa: a dynamical system perspective
   2022/01/27 by H. Attouch, J. Fadili, Attouch, H. +3 · 5 citations
   Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Mechanical and Optical Resonators
8. Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
   2017/05/10 by Hédy Attouch, Attouch, Hedy, Juan Peypouquet +1 · 3 citations
   Computer Science · Mathematics · #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis
9. Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α≤ 3
   2017/06/18 by Hédy Attouch, Attouch, Hedy, Zaki Chbani +3 · 3 citations
   Computer Science · Engineering · Mathematics · #49M37 #65K05 #90C25 #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
10. Fast convergence of dynamical ADMM via time scaling of damped inertial\n dynamics
    2021/03/23 by Hédy Attouch, Zaki Chbani, Attouch, Hedy +5 · 2 citations
    Computer Science · Engineering · #Adaptive Control of Nonlinear Systems #Distributed Control Multi-Agent Systems #FOS: Mathematics #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
11. An SDE perspective on stochastic convex optimization
    2022/07/06 by Rodrigo Maulén, Maulen-Soto, Rodrigo, Jalal Fadili +3 · 2 citations
    Computer Science · Engineering · #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
12. Dynamical systems and forward-backward algorithms associated with the\n sum of a convex subdifferential and a monotone cocoercive operator
    2014/03/25 by Boushra Abbas, Hédy Attouch, Abbas, Boushra +1 · 1 citation
    Computer Science · Mathematics · #Optimization and Variational Analysis #Numerical methods in inverse problems #Advanced Optimization Algorithms Research
13. Fast convex optimization via a third-order in time evolution equation: TOGES-V an improved version of TOGES
    2020/07/06 by Hédy Attouch, Attouch, Hedy, Zaki Chbani +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sphingolipid Metabolism and Signaling
14. Fast convex optimization via inertial dynamics combining viscous and\n Hessian-driven damping with time rescaling
    2020/09/16 by Hédy Attouch, Attouch, Hedy, Aïcha Balhag +5 · 1 citation
    Computer Science · Engineering · Mathematics · #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
15. An SDE Perspective on Stochastic Inertial Gradient Dynamics with Time-Dependent Viscosity and Geometric Damping
    2024/07/05 by Rodrigo Maulen-Soto, Jalal Fadili, Maulen-Soto, Rodrigo +5 · 2 citations
    Economics, Econometrics and Finance · Mathematics · #37N40 #46N10 #49M99 #60G12 #60H10 #65B99 #65K05 #65K10 #90B50 #90C25 #90C53 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Biology Tumor Growth #Optimization and Control (math.OC) #Stochastic processes and financial applications
16. Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping
    2021/07/13 by Hédy Attouch, Zaki Chbani, Attouch, Hedy +5 · 1 citation
    Computer Science · Mathematics · #Optimization and Variational Analysis #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering
17. Tikhonov Regularization for Stochastic Non-Smooth Convex Optimization in Hilbert Spaces
    2024/03/11 by Rodrigo Maulen-Soto, Jalal Fadili, Maulen-Soto, Rodrigo +3 · 1 citation
    Computer Science · Engineering · Mathematics · #37N40 #46N10 #49J52 #49M99 #60H10 #65B99 #65K05 #65K10 #900B50 #90C25 #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques