Title	Distances between Persistence Diagrams: A Lattice Theoretic Perspective
Creator	Skraba, Primoz
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-07-31T15:33
Description	In this talk I will build on the generalized notion of a persistence diagram introduced by A. Patel to multidimensional persistence. I will introduce several lattice-theoretic notions which reduce to known results in the one dimensional parameter case, but generalize to higher dimensional cases. With this interpretation, I will also give a possible definition for a family of distances between diagrams which include the classical bottleneck and wasserstein metrics currently used in applications and time permitting sketch the proof for bottleneck stability for this type of multidimensional persistence.
Extent	32 minutes
Subject	Mathematics; Algebraic topology; Probability theory and stochastic processes; Data mining
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Jozef Stefan Institute
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-01-27
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363276
URI	http://hdl.handle.net/2429/64473
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos