Heaviside Composite Optimization - A New Paradigm of Optimization

Explore a comprehensive seminar presentation by Distinguished Professor Jong-Shi Pang introducing Heaviside composite optimization as a groundbreaking paradigm in the field of optimization mathematics. Delve into the fundamental concepts of univariate Heaviside functions and their composition with continuous multivariate functions, examining their applications in modeling physical phenomena. Learn about the breadth of modeling capabilities, theoretical foundations of optimizers and stationary solutions, connections to discrete optimization, and the progressive integer programming method. Gain insights from this pioneering research program that addresses the theoretical frameworks, practical applications, and algorithmic approaches for solving these complex optimization problems. The presentation draws from collaborative work with researchers from various institutions and forms the basis of an upcoming monograph. Delivered by a National Academy of Engineering member and USC's Epstein Family Chair holder, this technical discussion bridges historical optimization approaches with innovative mathematical concepts for solving contemporary challenges.