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Detecting non-linear rank via the topology of hyperplane codes. Itskov, Vladimir
Description
Non-linear rank of a matrix M is the minimal possible rank of a matrix obtained by applying arbitrary monotone-increasing functions to each row of M. The problem of finding the non-linear rank often arises in neuroscience context. In this talk I will explain how the topology of hyperplane arrangements is closely related to the problem of finding the non-linear rank. I will then present an algebraic approach and computational results for estimating the nonlinear rank.
Item Metadata
Title |
Detecting non-linear rank via the topology of hyperplane codes.
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-10T09:46
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Description |
Non-linear rank of a matrix M is the minimal possible rank of a matrix obtained by applying
arbitrary monotone-increasing functions to each row of M. The problem of finding the
non-linear rank often arises in neuroscience context. In this talk I will explain how the
topology of hyperplane arrangements is closely related to the problem of finding the
non-linear rank. I will then present an algebraic approach and computational
results for estimating the nonlinear rank.
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Extent |
19 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: The Pennsylvania State University
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Series | |
Date Available |
2017-11-07
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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 |
10.14288/1.0357468
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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