EUROPT 2025
Abstract Submission

7. Worst-case complexity analysis of a-posteriori methods for multi-objective optimization

Invited abstract in session TC-10: Continuous Multi-Objective Optimization: Algorithms and Complexity Analyses, stream Multiobjective and Vector Optimization.

Tuesday, 14:00-16:00
Room: B100/8011

Authors (first author is the speaker)

1. Giampaolo Liuzzi
DIAG, Sapienza Univ. of Rome
2. Andrea Cristofari
Department of Civil Engineering and Computer Science Engineering, University of Rome "Tor Vergata"
3. Marianna De Santis
University of Florence
4. Stefano Lucidi
Department of Computer, Control, and Management Science, University of Rome "La Sapienza"

Abstract

In this work, we consider unconstrained a-posteriori multi-objective optimization problems. The main aim of the work is to give worst-case complexity bounds for multi-objective optimization methods which adopt a linesearch technique along steepest descent directions. We show that the considered methods enjoy the same worst-case complexity bounds recently proved in the literature for derivative-free methods.

Keywords

Status: accepted


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