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Distances between Persistence Diagrams: A Lattice Theoretic Perspective Skraba, Primoz
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.
Item Metadata
Title |
Distances between Persistence Diagrams: A Lattice Theoretic Perspective
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-07-31T15:33
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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.
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Extent |
32 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Jozef Stefan Institute
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Series | |
Date Available |
2018-01-27
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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 |
10.14288/1.0363276
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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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