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Perspectives on Categorical Persistence de Silva, Vin
Description
Peter Bubenik and Jonathan Scott, in 2012, made the perspicuous suggestion that any functor, from a suitable source category into any target category, could be regarded as a "generalised persistence module" (GPM), and that categories of GPM carried natural distance functions called interleaving metrics. I will discuss several examples and constructions on GPM. These include Reeb graphs, merge trees, dynamical systems, Morse functions. I will also discuss a recently joint project, led by Anastasios Stefanou and Liz Munch, which extends the interleaving distance from GPM categories to, more generally, categories with a flow.
Item Metadata
Title |
Perspectives on Categorical Persistence
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-08-07T09:00
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Description |
Peter Bubenik and Jonathan Scott, in 2012, made the perspicuous suggestion that any functor, from a suitable source category into any target category, could be regarded as a "generalised persistence module" (GPM), and that categories of GPM carried natural distance functions called interleaving metrics. I will discuss several examples and constructions on GPM. These include Reeb graphs, merge trees, dynamical systems, Morse functions. I will also discuss a recently joint project, led by Anastasios Stefanou and Liz Munch, which extends the interleaving distance from GPM categories to, more generally, categories with a flow.
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Extent |
54.0
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Pomona College
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Series | |
Date Available |
2019-03-24
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0377388
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International