数学学科Seminar第2422讲 Comparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors

创建时间:  2023/07/11  龚惠英   浏览次数: 94   返回

报告题目 (Title):Comparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors

报告人 (Speaker): 张福振 教授(美国佛罗里达诺瓦东南大学)

报告时间 (Time):2023年7月14日(周五) 8:30-11:30

报告地点 (Place):校本部F309

邀请人(Inviter):王卿文 教授

主办部门:理学院数学系

报告摘要:The classical Birkhoff polytope theorem states that the polytope of n-by-n doubly stochastic matrices is generated by the n-by-n permutation matrices. We extend this notion to multi-dimensional arrays (aka hypermatrices or tensors). Studying the polytopes of line- and plane- stochastic tensors, we present some upper bounds for the number of the vertices of the polytopes via various approaches and show comparison of these bounds.

上一条:数学学科Seminar第2423讲 最小-最大原则下的特征值和奇异值不等式

下一条:数学学科Seminar第2421讲 McKean-Vlasov 随机微分方程的中心极限定理和中偏差原理


数学学科Seminar第2422讲 Comparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors

创建时间:  2023/07/11  龚惠英   浏览次数: 94   返回

报告题目 (Title):Comparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors

报告人 (Speaker): 张福振 教授(美国佛罗里达诺瓦东南大学)

报告时间 (Time):2023年7月14日(周五) 8:30-11:30

报告地点 (Place):校本部F309

邀请人(Inviter):王卿文 教授

主办部门:理学院数学系

报告摘要:The classical Birkhoff polytope theorem states that the polytope of n-by-n doubly stochastic matrices is generated by the n-by-n permutation matrices. We extend this notion to multi-dimensional arrays (aka hypermatrices or tensors). Studying the polytopes of line- and plane- stochastic tensors, we present some upper bounds for the number of the vertices of the polytopes via various approaches and show comparison of these bounds.

上一条:数学学科Seminar第2423讲 最小-最大原则下的特征值和奇异值不等式

下一条:数学学科Seminar第2421讲 McKean-Vlasov 随机微分方程的中心极限定理和中偏差原理