EUROPT 2025
Abstract Submission

487. Performance Estimation framework for a range of stochastic first-order methods.

Invited abstract in session MD-8: Systematic and computer-aided analyses III: noisy gradient methods and fixed-point algorithms, stream Systematic and computer-aided analyses of optimization algorithms.

Monday, 16:30-18:30
Room: B100/7007

Authors (first author is the speaker)

1. Anne Rubbens
ICTEAM, UCLouvain
2. Julien Hendrickx
ICTEAM

Abstract

We rely on a computer-assisted technique to automatically obtain worst-case performance guarantees for a variety of stochastic first-order methods, and illustrate how it enables improvements over existing guarantees on several numerical examples.

This technique allows dealing with a wide range of stochastic settings, including e.g. unified variance model and finite-sum optimization, and can be applied to the analysis of non variance reduced (e.g. SDG) and variance reduced (e.g. SAGA) methods.

Keywords

Status: accepted


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