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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
|
| 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.
|
| 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 |
2017-11-06
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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
|
| 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