2025
10.13
暨南经院统计学系列Seminar第177期:李挺(香港理工大学)
主题:Principal Component Analysis in Geodesic Space主讲人:李挺香港理工大学主持人:姜云卢暨南大学时间:2025年10月10日(周五)上午11:00-12:00地点:暨南大学石牌校区经济学院(中惠楼)323室摘要Principal Component Analysis (PCA) has been widely applied and extensively studied. However, it presents significant challenges to extend it for complex data in metric spaces. In this work, we propose Geodesic-PCA (G-PCA), a unified framework that extends PCA to geodesic spaces beyond manifolds. We develop robust and optimal theoretical results for G-PCA and validate i