70 citations · 171 across the 33 of their papers we have counts for
43 papers
Strong convergence and fast rates for systems with Tikhonov regularization
Ernö Robert Csetnek, Szilárd Csaba László
We introduce and investigate the asymptotic behaviour of the trajectories of a second order dynamical system with Tikhonov regularization for solving a monotone equation with singl…
Fast Optimistic Gradient Descent Ascent (OGDA) method in continuous and discrete time
Radu Ioan Bot, Ernö Robert Csetnek, Dang-Khoa Nguyen
In the framework of real Hilbert spaces we study continuous in time dynamics as well as numerical algorithms for the problem of approaching the set of zeros of a single-valued mono…
Fast Augmented Lagrangian Method in the convex regime with convergence guarantees for the iterates
Radu Ioan Bot, Ernö Robert Csetnek, Dang-Khoa Nguyen
This work aims to minimize a continuously differentiable convex function with Lipschitz continuous gradient under linear equality constraints. The proposed inertial algorithm resul…
An accelerated minimax algorithm for convex-concave saddle point problems with nonsmooth coupling function
Radu Ioan Bot, Ernö Robert Csetnek, Michael Sedlmayer
In this work we aim to solve a convex-concave saddle point problem, where the convex-concave coupling function is smooth in one variable and nonsmooth in the other and not assumed…
Continuous dynamics related to monotone inclusions and non-smooth optimization problems
Ernö Robert Csetnek
The aim of this survey is to present the main important techniques and tools from variational analysis used for first and second order dynamical systems of implicit type for solvin…
Two steps at a time -- taking GAN training in stride with Tseng's method
Axel Böhm, Michael Sedlmayer, Ernö Robert Csetnek +1
Motivated by the training of Generative Adversarial Networks (GANs), we study methods for solving minimax problems with additional nonsmooth regularizers. We do so by employing \em…