EUROPT 2025
Abstract Submission

529. Direct Search Methods for Stochastic Zeroth-Order 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. Francesco Rinaldi
Dipartimento di Matematica "Tullio Levi-Civita", Università di Padova
2. Andrea Cristofari
Department of Civil Engineering and Computer Science Engineering, University of Rome "Tor Vergata"

Abstract

In this talk, we describe a direct search algorithm that handles Stochastic Zeroth-Order problems, i.e., problems whose objective is not computable in practice, with the only information available obtained by a stochastic zeroth-order oracle calculating an estimate of the function for any given point.
Under standard assumptions on the accuracy and the variance of the random estimates used in the algorithm, we establish global convergence to stationary points. Finally, we report some numerical results to show the practical effectiveness of the method.

Keywords

Status: accepted


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