AI RESEARCH

Stochastic set-valued optimization and its application to robust learning

arXiv CS.LG

ArXi:2603.17691v1 Announce Type: cross In this paper, we develop a stochastic set-valued optimization (SVO) framework tailored for robust machine learning. In the SVO setting, each decision variable is mapped to a set of objective values, and optimality is defined via set relations. We focus on SVO problems with hyperbox sets, which can be reformulated as multi-objective optimization (MOO) problems with finitely many objectives and serve as a foundation for representing or approximating general mapped sets.