Mathematical Foundations of Interacting Multi-Particle Systems for Optimization
MCML Authors
Konstantin Riedl
Dr.
* Former Member
Abstract
Konstantin Riedl
Dr.
* Former Member
Abstract
This dissertation lays mathematical foundations for the numerical analysis of interacting multi-particle systems in the setting of optimization. While such systems are of paramount importance in and beyond applied mathematics, their rigorous analysis largely remained elusive. Given the necessity for capable, reliable, and robust algorithms with informative and solid convergence guarantees, we provide an analytical framework that builds upon insights obtained by taking a mean-field perspective.
BibTeXKey: Rie24