EUROPT 2025
Abstract Submission

552. Constructive approach to worst-case analysis and algorithm design in online convex optimization

Invited abstract in session TB-8: Systematic and computer-aided analyses IV: Online & distributed gradient methods, stream Systematic and computer-aided analyses of optimization algorithms.

Tuesday, 10:30-12:30
Room: B100/7007

Authors (first author is the speaker)

1. Julien Weibel
INRIA

Abstract

In this talk, we will present methods based on semi-definite programming to perform worst-case analysis of online convex optimization algorithms. Those methods allow to construct simultaneously a worst-case scenario and a proof for a matching upper bound on the regret of a given online convex optimization algorithm. We will also present how to adapt those methods for algorithm design by formulating a semi-definite program that optimises simultaneously the choice of the algorithm with its regret upper bound.

Keywords

Status: accepted


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