Title	Combining sub-level and level-set persistence
Creator	Catanzaro, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-08-06T15:01
Description	Theoretical methods in persistent homology have traditionally considered one of two viewpoints: R-indexed/sub-level set persistence, or zig-zag/level-set persistence. Even in the case of a single variable real-valued function, there is still much to be understood by combining these two forms of persistence together. This version of multiparameter persistence naturally lends itself to analysis of families of functions on smooth manifolds, as well as generalized versions of Reeb graphs and Merge trees. In this talk, I will show what we hope to learn by mixing these two together through a variety of examples, ranging from manifolds to Arnold's Calculus of Snakes. This ongoing work is joint with Peter Bubenik.
Extent	24.0
Subject	Mathematics; Algebraic topology; Statistics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Florida
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377392
URI	http://hdl.handle.net/2429/69150
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos