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A representation theoretic take on clustering Steen, Johan
Description
I will report on work in progress, joint with U. Bauer, M. Botnan and S. Oppermann. One of the main motivations for this project was to try to determine the complexity of 2-parameter clustering. Although this eventually led to purely representation theoretic results, the focus of this talk is what one of these results tells us in the realm of clustering. To be more precise, we show that the category of 2-parameter persistence modules with epimorphisms either horizontally, vertically, or both, is nearly as bad as the full category of 2-parameter persistence modules.
Item Metadata
Title |
A representation theoretic take on clustering
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-08-04T09:04
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Description |
I will report on work in progress, joint with U. Bauer, M. Botnan and S.
Oppermann.
One of the main motivations for this project was to try to determine the
complexity of 2-parameter clustering. Although this eventually led to
purely representation theoretic results, the focus of this talk is what
one of these results tells us in the realm of clustering.
To be more precise, we show that the category of 2-parameter persistence
modules with epimorphisms either horizontally, vertically, or both, is
nearly as bad as the full category of 2-parameter persistence modules.
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Extent |
30 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: NTNU, Trondheim
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Series | |
Date Available |
2018-02-01
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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 |
10.14288/1.0363345
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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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