EUROPT 2025
Abstract Submission

509. Analysis of derivative-free algorithms on noisy problems

Invited abstract in session TB-1: Zeroth-Order Optimization Methods for Stochastic and Noisy Problems, stream Zeroth and first-order optimization methods.

Tuesday, 10:30-12:30
Room: B100/1001

Authors (first author is the speaker)

1. Alexandre Chotard
Université du Littoral de la Côte d'Opale
2. Anne Auger
Inria and Ecole Polytechnique

Abstract

In the context of derivative-free optimization, we discuss in a first part of the talk the robustness to noise of a few optimizers that include quasi-Newton algorithms (used with finite differences to estimate the gradient), the Nelder-Mead algorithm as well as stochastic or randomized algorithms like Evolution Strategies.

In a second part of the presentation we discuss proven sufficient conditions on the step-size adaptation scheme of a simple Evolution Strategy to ensure the linear convergence on the class of scaling-invariant functions perturbed with multiplicative noise.

Keywords

Status: accepted


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