Lectures related to Optimal Transport: Convex Analysis

Polynomial Optimization: SOS and SDP Log in to Mediaspace to watch this video

Explores Sum of Squares polynomials and Semidefinite Programming in Polynomial Optimization, enabling the approximation of non-convex polynomials with convex SDP.

Linear and Integer Programming Log in to Mediaspace to watch this video

Covers the theory of linear and integer programming, focusing on the integer hull and rational polyhedra.

Lagrangian Duality: Convex Optimization Log in to Mediaspace to watch this video

Explores Lagrangian duality in convex optimization, transforming problems into min-max formulations and discussing the significance of dual solutions.

Convex Relaxation: Negative Type Theorems Log in to Mediaspace to watch this video

Explores convex relaxation and negative type theorems in convex programs.

Convex Hulls: Complexity and Vertices Log in to Mediaspace to watch this video

Explores the complexity of convex hulls and the concept of vertices within them.

Optimal Transport: Theory and Applications Log in to Mediaspace to watch this video

Explores the theory of optimal transport, focusing on Lipschitz functions and uniqueness of solutions.