A Seminar on Tuesday, December 29, 16:30-17:30

Center for Mathematical Sciences, Room 813

Speaker:Huang Wen, Catholic University of Louvain, Belgium

Title:An Introduction to Riemannian Optimization and its Applications

Abstract:Riemannian optimization, also called optimization on Riemannian manifolds, considers finding an optimum of a real-valued function f defined on a Riemannian manifold M. Riemannian optimization has been a topic of much interest over the past few years due to many important applications, e.g., blind source separation, matrix completion problems, matrix mean computation, and elastic shape analysis.

In this presentation, the framework of Riemannian optimization is introduced, and the history and current state of Riemannian optimization algorithms are briefly reviewed. Elastic shape analysis of curves is used to demonstrate the efficiency and effectiveness of Riemannian optimization.