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math.OC2026
Asymptotic behaviour of coupled random dynamical systems with multiscale aspects
D. Russell Luke, Johannes-Carl Schnebel, Mathias Staudigl +2
We examine a class of stochastic differential inclusions involving multiscale effects designed to solve a class of generalized variational inequalities. This class of problems cont…
math.OC2025
Algorithmic approaches to avoiding bad local minima in nonconvex inconsistent feasibility
Thi Lan Dinh, Wiebke Bennecke, G. S. Matthijs Jansen +2
We report on the use of algorithms to avoid or move away from ``bad'' local minima in nonconvex optimization. Our study is phenomenological and empirical, focusing on the performan…
math.OC2025
Cyclic Relaxed Douglas-Rachford Splitting for Inconsistent Nonconvex Feasibility
Thi Lan Dinh, G. S. Matthijs Jansen, D. Russell Luke
We study the cyclic relaxed Douglas-Rachford algorithm for possibly nonconvex, and inconsistent feasibility problems. This algorithm can be viewed as a convex relaxation between th…