Short Course

A short course on “Modern Optimization and Applications” wil given on June 22, 2024 by

Speaker: Prof. Jiawang Nie (University of California, USA)

Title: Moment and polynomial optimization

Abstract: This short course introduces basic theory and recent advances in moment and polynomial optimization. It will cover topics of sum of squares, nonnegative polynomials, ideals and quadratic modules, localizing matrices and vectors, flat extension and flat truncation,  Moment-SOS relaxations, and the asymptotic and finite convergence. We will also introduce recent advances in Lagrange multiplier expressions, tight relaxations, Nash equilibrium problems, bilevel optimization, multi-objective optimization and data science optimization.