286 citations · 374 across the 36 of their papers we have counts for
5 papers · 2 filters
The rate of convergence of Nesterov's accelerated forward-backward method is actually faster than
Hedy Attouch, Juan Peypouquet
The {\it forward-backward algorithm} is a powerful tool for solving optimization problems with a {\it additively separable} and {\it smooth} + {\it nonsmooth} structure. In the con…
Fast Convergence of an Inertial Gradient-like System with Vanishing Viscosity
Hedy Attouch, Juan Peypouquet, Patrick Redont
In a real Hilbert space , we study the fast convergence properties as of the trajectories of the second-order evolution equation $$ \ddot{x}(t) + \frac…
Fast inertial dynamics and FISTA algorithms in convex optimization. Perturbation aspects
H. Attouch, Z. Chbani
In a Hilbert space setting , we study the fast convergence properties as of the trajectories of the second-order differential equation $ \ddot{x}(t) +…
Multiibjective optimization : an inertial dynamical approach to Pareto optima
Hédy Attouch, Guillaume Garrigos
We present some first results concerning a gradient-based dynamic approach to multi-objective optimization problems, involving inertial effects. We prove the existence of global so…
A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity O(1/n^2)
Hedy Attouch, Maicon Marques Alves, Benar F. Svaiter
In a Hilbert setting, we introduce a new dynamical system and associated algorithms for solving monotone inclusions by rapid methods. Given a maximal monotone operator , the evo…