Wasserstein度量矩阵及其计算特性
2025.10.21
投稿：邵奋芬部门：理学院浏览次数：
活动信息
报告题目 (Title)：The Wasserstein Metric Matrix and Its Computational Property （Wasserstein度量矩阵及其计算特性）
报告人 (Speaker)：白中治 研究员（中国科学院数学与系统科学研究院）
报告时间 (Time)：2025年10月23日（周四）14:00
报告地点 (Place)：校本部 F309
邀请人(Inviter)：张建军、谭福平
主办部门：理学院数学系
报告摘要： By further exploring and deeply analyzing the concrete algebraic structures and essential computational properties about the Wasserstein-1 metric matrices of one- and two-dimensions, we show that they can be essentially expressed by the Neumann series of nilpotent matrices and, therefore, the products of these matrices with a prescribed vector can be accomplished accurately and stably in the optimal computational complexities through solving unit bidiagonal triangular systems of linear equations. We also give appropriate generalizations of these one- and two-dimensional Wasserstein-1 metric matrices, as well as their corresponding extensions to higher dimensions, and demonstrate the algebraic structures and computational properties of these generalized and extended Wasserstein-1 metric matrices.
