Cutting Plane Methods

This lecture covers cutting plane methods, including the center of gravity method and the ellipsoid algorithm. It explains the intuition behind cutting plane methods, convex sets, and the process of finding the optimal point. The instructor discusses the analysis of cutting plane methods and how to determine the optimal point. The lecture also delves into the ellipsoid method, focusing on the algorithm and the process of finding the optimal point within an ellipsoid. Additionally, it explores the concept of minimum volume ellipsoids and the techniques for obtaining a competitive algorithm for the online Steiner forest problem.