1 citations · 1 across the 10 of their papers we have counts for
13 papers
The Iterates of Nesterov's Accelerated Algorithm Converge in The Critical Regimes
Radu Ioan Bot, Jalal Fadili, Dang-Khoa Nguyen
In this paper, we prove that the iterates of the accelerated Nesterov's algorithm in the critical regime do converge in the weak topology to a global minimizer of an -smooth fun…
Recovering Nesterov accelerated dynamics from Heavy Ball dynamics via time rescaling
Hedy Attouch, Radu Ioan Bot, David Alexander Hulett +1
In a real Hilbert space, we consider two classical problems: the global minimization of a smooth and convex function (i.e., a convex optimization problem) and finding the zeros…
Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints
Radu Ioan Bot, Dang-Khoa Nguyen, Chunxiang Zong
In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone operator and a monotone an…
Fast second-order dynamics with slow vanishing damping approaching the zeros of a monotone and continuous operator
Radu Ioan Bot, David Alexander Hulett, Dang-Khoa Nguyen
In this work, we approach the problem of finding the zeros of a continuous and monotone operator through a second-order dynamical system with a damping term of the form ,…
Tikhonov regularization of monotone operator flows not only ensures strong convergence of the trajectories but also speeds up the vanishing of the residuals
Radu Ioan Bot, Dang-Khoa Nguyen
In the framework of real Hilbert spaces, we investigate first-order dynamical systems governed by monotone and continuous operators. We demonstrate that when the monotone operator…
Fast Forward-Backward splitting for monotone inclusions with a convergence rate of the tangent residual of
Radu Ioan Bot, Dang-Khoa Nguyen, Chunxiang Zong
We address the problem of finding the zeros of the sum of a maximally monotone operator and a cocoercive operator. Our approach introduces a modification to the forward-backward me…