What if we Increase the Number of Objectives? Theoretical and Empirical Implications for Many-objective Optimization

no code implementations • 6 Jun 2021 • Richard Allmendinger, Andrzej Jaszkiewicz, Arnaud Liefooghe, Christiane Tammer

The presence of many objectives typically introduces a number of challenges that affect the choice/design of optimization algorithms.

Vector Optimization with Domination Structures: Variational Principles and Applications

no code implementations • 16 Feb 2021 • Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran, Christiane Tammer

This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures.

Optimization and Control 49J53, 90C29, 92G99