セミナー

理研AIPセミナー

タイトル	Homotopy interleaving distance on the filtered spaces
開催日時	2018年7月9日 13:00 - 14:30
主催者
講演者	Kei Hagihara氏（Keio University)
場所	慶應義塾大学理工学部 14棟 6階631A (Building 14, Room 631A)
内容	The speaker will provide an overview of the preprint "Blumberg - Lesnick: Universality of the homotopy interleaving distance(arXiv:1705.01690)". In this paper they attempt to establish homotopy-theoretical foundations of topological data analysis by introducing the notion of "homotopy interleaving distance". As an application, under this framework they naturally deduce the Rips inequality - one of the fundamental theorems in persistent homology theory.
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