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Topology as a tool for obtaining global from local information Sazdanovic, Radmila
Description
Data can often be encoded by a graph or a point cloud. Homology groups of associated simplicial complex, and other tools of Topological Data Analysis (TDA) can be used to compare data sets and detect properties and patterns in the data. We focus on the theoretical results that can be used to address computational challenges caused by the complexity and size of the data. For example, we show that the (local) bottleneck distance between zig-zag persistence modules restricted to an interval provides a lower bound on the bottleneck distance and analyze persistence of metric wedge sums and metric gluings. This is joint work with Henry Adams, Michael Adamaszek, Ellen Gasparovic, Maria Gommel, Emilie Purvine, Bei Wang, Yusu Wang, and Lori Ziegelmeier.
Item Metadata
| Title |
Topology as a tool for obtaining global from local information
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-03-26T13:35
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| Description |
Data can often be encoded by a graph or a point cloud. Homology groups of associated simplicial complex, and other tools of Topological Data Analysis (TDA) can be used to compare data sets and detect properties and patterns in the data. We focus on the theoretical results that can be used to address computational challenges caused by the complexity and size of the data. For example, we show that the (local) bottleneck distance between zig-zag persistence modules restricted to an interval provides a lower bound on the bottleneck distance and analyze persistence of metric wedge sums and metric gluings. This is joint work with Henry Adams, Michael Adamaszek, Ellen Gasparovic, Maria Gommel, Emilie Purvine, Bei Wang, Yusu Wang, and Lori Ziegelmeier.
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| Extent |
25.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: North Carolina State University
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| Series | |
| Date Available |
2019-09-23
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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 |
10.14288/1.0380941
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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
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International