286 citations · 374 across the 36 of their papers we have counts for
5 papers · 2 filters
Damped inertial dynamics with vanishing Tikhonov regularization: strong asymptotic convergence towards the minimum norm solution
Hedy Attouch, Aicha Balhag, Zaki Chbani +1
In a Hilbert space, we provide a fast dynamic approach to the hierarchical minimization problem which consists in finding the minimum norm solution of a convex minimization problem…
Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping
Hedy Attouch, Zaki Chbani, Jalal Fadili +1
In a Hilbert space setting, for convex optimization, we show the convergence of the iterates to optimal solutions for a class of accelerated first-order algorithms. They can be int…
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping
Hedy Attouch, Jalal Fadili, Vyacheslav Kungurtsev
Second-order continuous-time dissipative dynamical systems with viscous and Hessian driven damping have inspired effective first-order algorithms for solving convex optimization pr…
Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution
Hedy Attouch, Szilard Laszlo
In a Hilbertian framework, for the minimization of a general convex differentiable function , we introduce new inertial dynamics and algorithms that generate trajectories and it…
Fast convergence of dynamical ADMM via time scaling of damped inertial dynamics
Hedy Attouch, Zaki Chbani, Jalal Fadili +1
In this paper, we propose in a Hilbertian setting a second-order time-continuous dynamic system with fast convergence guarantees to solve structured convex minimization problems wi…