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Sum-of-squares $\equiv_{avg}$ Spectral Algorithms Schramm, Tselil
Description
It is well-known that semidefinite programs (such as the Sum-of-Squares or SoS semidefinite programming relaxation) capture spectral arguments. A recent line of work has shown that the reverse is also true for many average-case problems: spectral algorithms are just as powerful as SoS for planted clique, refuting random CSPs, spiked random tensors, and more. In this talk, I will discuss a recent result which shows the equivalence of SoS and spectral algorithms is not a coincidence, and can be shown in a black-box fashion for a broad class of average-case problems.
Based on joint work with Sam Hopkins, Pravesh Kothari, Aaron Potechin, Prasad Raghavendra and David Steurer.
Item Metadata
| Title |
Sum-of-squares $\equiv_{avg}$ Spectral Algorithms
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-11-16T16:32
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| Description |
It is well-known that semidefinite programs (such as the Sum-of-Squares or SoS semidefinite programming relaxation) capture spectral arguments. A recent line of work has shown that the reverse is also true for many average-case problems: spectral algorithms are just as powerful as SoS for planted clique, refuting random CSPs, spiked random tensors, and more. In this talk, I will discuss a recent result which shows the equivalence of SoS and spectral algorithms is not a coincidence, and can be shown in a black-box fashion for a broad class of average-case problems.
Based on joint work with Sam Hopkins, Pravesh Kothari, Aaron Potechin, Prasad Raghavendra and David Steurer.
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| Extent |
30 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Simons Institute/UC Berkeley
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| Series | |
| Date Available |
2018-05-15
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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 |
10.14288/1.0366863
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International