»ã±¨±êÌâ (Title)£ºComparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors.£¨ÏßËæ»úÕÅÁ¿¶à°ûÌ嶥µãµÄÉϽç±ÈÁ¦£©

»ã±¨ÈË (Speaker)£º ÕŸ£Õñ ½ÌÊÚ£¨ÃÀ¹ú·ðÂÞÀï´ïŵÍ߶«ÄÏ´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê7ÔÂ14ÈÕ(ÖÜÎå) 8:30-11:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

Ô¼ÇëÈË(Inviter)£ºÍõÇäÎÄ ½ÌÊÚ

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»ã±¨ÌáÒª£ºThe 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.