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20242026
most citedBarrier Algorithms for Constrained Non-Convex Optimization

1 citations · 1 across the 16 of their papers we have counts for

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cs.LG2026

Information-Theoretic Foundations of Online Temperature Sampling

Jin Sima, Nikolaos Papagiannis, Ananth Grama +1

Repetitive, degenerate generation is a persistent failure of LLM decoding, and the standard remedies (temperature, nucleus, and top- sampling) are static heuristics. By Kac's le…

math.OC2026

Stochastic Nonconvex Bilevel Optimization: Improved Rates Without Rare-Visit Assumption

Daniel Cortild, Mathias Staudigl, Juan Peypouquet +1

We investigate stochastic simple bilevel optimization with smooth and possibly nonconvex upper- and lower-level objectives. Existing stochastic extensions of dynamic barrier gradie…

math.OC2026

Inertial forward-backward algorithm with exterior penalization and Tikhonov regularization

Siqi Qu, Juan Peypouquet, Mathias Staudigl

In a real Hilbertian setting, we develop in this paper numerical splitting techniques guaranteeing strong convergence to the least norm solution of constrained variational inequali…

math.OC2026

Stochastic Differential Inclusions driven by Maximal Monotone Operators with empty interiors

Juan Guillermo Garrido, Pedro Pérez-Aros, Mathias Staudigl

This paper studies the long-time behavior of stochastic differential inclusions driven by maximal monotone operators, motivated by continuous-time models of first-order optimizatio…

eess.SY2026

A Stochastic Gradient Descent Approach to Design Policy Gradient Methods for LQR

Bowen Song, Simon Weissmann, Mathias Staudigl +1

In this work, we propose a stochastic gradient descent (SGD) framework to design data-driven policy gradient descent algorithms for the linear quadratic regulator problem. Two alte…

math.OC2026

Stochastic variance reduced extragradient methods for solving hierarchical variational inequalities

Pavel Dvurechensky, Andrea Ebner, Johannes Carl Schnebel +2

We are concerned with optimization in a broad sense through the lens of solving variational inequalities (VIs) -- a class of problems that are so general that they cover as particu…

math.OC2026

Regularization methods for solving hierarchical variational inequalities with complexity guarantees

Daniel Cortild, Meggie Marschner, Mathias Staudigl

We consider hierarchical variational inequality problems, or more generally, variational inequalities defined over the set of zeros of a monotone operator. This framework includes…

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…