2 citations · 5 across the 12 of their papers we have counts for
13 papers
Asymptotic behavior of the Arrow-Hurwicz differential system with Tikhonov regularization
Fouad Battahi, Zaki Chbani, Simon K. Niederländer +1
In a real Hilbert space setting, we investigate the asymptotic behavior of the solutions of the classical Arrow-Hurwicz differential system combined with Tikhonov regularizing term…
Strong convergence towards the minimum norm solution via temporal scaling and Tikhonov approximation of a first-order dynamical system
A. C. Bagy, Z. Chbani, H. Riahi
Given a proper convex lower semicontinuous function defined on a Hilbert space and whose solution set is supposed nonempty. For attaining a global minimizer when this convex functi…
Combining Strong Convergence, Values Fast Convergence and Vanishing of Gradients for a Proximal Point Algorithm Using Tikhonov Regularization in a Hilbert Space
A. C. Bagy, Z. Chbani, H. Riahi
In a real Hilbert space . Given any function convex differentiable whose solution set is nonempty, by considering the Proximal Algorithm…
Accelerated gradient methods with strong convergence to the minimum norm minimizer: a dynamic approach combining time scaling, averaging, and Tikhonov regularization
Hedy Attouch, Zaki Chbani, Hassan Riahi
In a Hilbert framework, for convex differentiable optimization, we consider accelerated gradient methods obtained by combining temporal scaling and averaging techniques with Tikhon…
Accelerated gradient methods combining Tikhonov regularization with geometric damping driven by the Hessian
Hedy Attouch, Aicha Balhag, Zaki Chbani +1
In a Hilbert setting, for convex differentiable optimization, we consider accelerated gradient dynamics combining Tikhonov regularization with Hessian-driven damping. The Tikhonov…
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…
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…
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling
Hedy Attouch, Aicha Balhag, Zaki Chbani +1
In a Hilbert setting, we develop fast methods for convex unconstrained optimization. We rely on the asymptotic behavior of an inertial system combining geometric damping with tempo…
Fast convex optimization via a third-order in time evolution equation: TOGES-V an improved version of TOGES
Hedy Attouch, Zaki Chbani, Hassan Riahi
In a Hilbert space setting H, for convex optimization, we analyze the fast convergence properties as t tends to infinity of the trajectories generated by a third-order in time evol…
First-order optimization algorithms via inertial systems with Hessian driven damping
Hedy Attouch, Zaki Chbani, Jalal Fadili +1
In a Hilbert space setting, for convex optimization, we analyze the convergence rate of a class of first-order algorithms involving inertial features. They can be interpreted as di…
Rate of convergence of the Nesterov accelerated gradient method in the subcritical case
Hedy Attouch, Zaki Chbani, Hassan Riahi
In a Hilbert space setting , given a convex continuously differentiable function, and a positive parameter, we consider the inertial s…
Combining fast inertial dynamics for convex optimization with Tikhonov regularization
Hedy Attouch, Zaki Chbani
In a Hilbert space setting , we study the convergence properties as of the trajectories of the second-order differential equation \begin{equation*} \mb…