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20152023
most citedInducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure

36 citations · 98 across the 20 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.OC2019★ 36 cited

Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure

Radu Ioan Boţ, Sorin-Mihai Grad, Dennis Meier +1

In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators. Our aim is to desi…

math.OC2019

Generalized Self-concordant Hessian-barrier algorithms

Pavel Dvurechensky, Mathias Staudigl, César A. Uribe

Many problems in statistical learning, imaging, and computer vision involve the optimization of a non-convex objective function with singularities at the boundary of the feasible s…

math.OC2019★ 1 cited

Distributed forward-backward (half) forward algorithms for generalized Nash equilibrium seeking

Barbara Franci, Mathias Staudigl, Sergio Grammatico

We present two distributed algorithms for the computation of a generalized Nash equilibrium in monotone games. The first algorithm follows from a forward-backward-forward operator…

math.OC2019★ 5 cited

Strong Convergence of Forward-Backward-Forward Methods for Pseudo-monotone Variational Inequalities with Applications to Dynamic User Equilibrium in Traffic Networks

Benoit Duvocelle, Dennis Meier, Mathias Staudigl +1

In infinite-dimensional Hilbert spaces we device a class of strongly convergent primal-dual schemes for solving variational inequalities defined by a Lipschitz continuous and pseud…

math.OC2019★ 13 cited

Forward-backward-forward methods with variance reduction for stochastic variational inequalities

Radu Ioan Bot, Panayotis Mertikopoulos, Mathias Staudigl +1

We develop a new stochastic algorithm with variance reduction for solving pseudo-monotone stochastic variational inequalities. Our method builds on Tseng's forward-backward-forward…