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Kindler-Safra Theorem on the p-biased hypercube via agreement theorems Harsha, Prahladh
Description
Nisan and Szegedy showed that low degree Boolean functions are juntas, namely, they depend only on a constant number of their variables. Kindler and Safra showed a robust version of the above: low degree functions which are almost Boolean are close to juntas.
We study the same question on the p-biased hypercube, for very small p. The p-biased hypercube is a product probability space in which each coordinate is 1 with probability p and 0 otherwise. In this space most of the measure is on n-bit strings whose Hamming weight about pn
Item Metadata
| Title |
Kindler-Safra Theorem on the p-biased hypercube via agreement theorems
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2018-08-13T15:02
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| Description |
Nisan and Szegedy showed that low degree Boolean functions are juntas, namely, they depend only on a constant number of their variables. Kindler and Safra showed a robust version of the above: low degree functions which are almost Boolean are close to juntas.
We study the same question on the p-biased hypercube, for very small p. The p-biased hypercube is a product probability space in which each coordinate is 1 with probability p and 0 otherwise. In this space most of the measure is on n-bit strings whose Hamming weight about pn
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| Extent |
39.0
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Tata Institute of Fundamental Research, Mumbai
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| Series | |
| Date Available |
2019-03-28
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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 |
10.14288/1.0377634
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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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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International