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The Saddle Point Problem of Polynomials Nie, Jiawang
Description
This paper studies the saddle point problem of polynomials. We give an algorithm for computing saddle points, based on Lasserre's hierarchy of Moment-SOS relaxations. Under some genericity assumptions, we show that: i) if there exists a saddle point, the algorithm can get one by solving a finite number of relaxations; ii) if there is no saddle point, the algorithm can detect its nonexistence.
Item Metadata
Title |
The Saddle Point Problem of Polynomials
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-05-28T16:51
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Description |
This paper studies the saddle point problem of polynomials. We give an algorithm for computing saddle points, based on Lasserre's hierarchy of Moment-SOS relaxations. Under some genericity assumptions, we show that: i) if there exists a saddle point, the algorithm can get one by solving a finite number of relaxations; ii) if there is no saddle point, the algorithm can detect its nonexistence.
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Extent |
34.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of California San Diego
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Series | |
Date Available |
2020-09-11
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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 |
10.14288/1.0394321
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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