Luis F. Seoane (Universitat Pompeu Fabra, Spain)
Abstract. We developed a framework to interpret the outcome of multiobjective optimization. In doing so, we came across a solid theory for the definition and classification of qualitative changes in the nature of the optima as some specific parameters are varied. We argue that these changes are akin to phase transitions and that our theory provides a robust mathematical grounding for them. We show how some classic, thermodynamic phase transitions are parsimoniously explained by our theoretical scheme.