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Multi starts at one: Efficient computation of Vietorisâ Rips persistence barcodes Bauer, Ulrich
Description
I will discuss the efficient computation of the Vietorisâ Rips persistence barcode for a finite metric space. The implementation in the C++ code â Ripserâ focuses on memory and time efficiency, outperforming previous software on typical benchmark examples both in terms of time and memory. The improved computational efficiency is based on a close connection between persistent homology and discrete Morse theory, together with novel algorithmic design principles, avoiding the explicit construction of the filtration boundary matrix.
Item Metadata
Title |
Multi starts at one: Efficient computation of Vietorisâ Rips persistence barcodes
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-08-08T09:01
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Description |
I will discuss the efficient computation of the Vietorisâ Rips persistence barcode for a finite metric space. The implementation in the C++ code â Ripserâ focuses on memory and time efficiency, outperforming previous software on typical benchmark examples both in terms of time and memory. The improved computational efficiency is based on a close connection between persistent homology and discrete Morse theory, together with novel algorithmic design principles, avoiding the explicit construction of the filtration boundary matrix.
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Extent |
55.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Technische Universität München
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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 |
10.14288/1.0377395
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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