The main objectives of the 2025 Midwest Optimization Meeting are to communicate recent advances and developing trends in optimization, convex and variational analysis, computational mathematics and in their applications such as to control, machine learning / data analytics, logistics, and multi-disciplinary design optimization domains. The intent of the meeting is to embrace both theory and diverse applications of the field, to enrich participants perception of active research areas and open problems in optimization and its applications, and help inform new future research directions and collaborations.