数学科学学院学术报告
Manifold Identification and Second-Order Algorithms for sparse problems on the Stiefel Manifold
陈士祥
（中国科学技术大学）
报告时间：2025年12月30日 星期二 下午17：00-18：00
报告地点：沙河校区E806
报告摘要：In this talk, we investigate manifold identification for the nonsmooth optimization problem on the Stiefel manifold. We first show that the manifold proximal gradient method is capable of identifying the active structure of the solution under mild conditions. Next, we demonstrate that the intersection of the identified active manifold with the Stiefel manifold constitutes a smooth submanifold with certain sparsity assumptions. Leveraging this structure, we design a novel second-order algorithm based on retraction and tailored specifically to the geometry of the intersected submanifold. Numerical experiments confirm that the proposed method achieves superlinear convergence and significantly outperforms existing approaches.
报告人简介：陈士祥，中国科学技术大学数学科学学院特任研究员。主要从事非凸优化算法设计和分析等方向的研究，相关成果发表在SIAM Review、SIAM J. Opt.、IEEE TPAMI、IEEE TAC、IEEE TSP 等期刊，以及ICML、NeurIPS会议。
邀请人：谢家新
