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Riemannian Optimization with its Application on Elastic Shape Analysis

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时间:2019-09-23  来源:

题目:       Riemannian Optimization with its Application on Elastic Shape Analysis

报告人:     黄文 (厦门大学)

时间地点:   2019.09.24  16:00pm  N213

摘要:       Optimization on Riemannian manifolds, also called Riemannian optimization, considers finding an optimum of  a real-valued function defined on a Riemannian manifold. Riemannian optimization has been a topic of  much interest over the past few years due to many important applications, e.g., blind source separation, computations on symmetric positive matrices, low-rank learning, graph similarity, community detection, 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. Optimization problems in Elastic shape analysis of curves are used to demonstrate the efficiency and effectiveness of Riemannian optimization.

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