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Traces of Hypergraphs Alon, Noga
Description
What is the largest number of distinct projections onto $k$ coordinates guaranteed in every family of $m$ binary vectors of length $n$ This fundamental combinatorial question has applications in theoretical computer science, geometry, machine learning, probability and more, and is wide open for most settings of the parameters. I will briefly mention some of the history, motivation and known results, focusing on a recent asymptotic solution of the question, in joint work with Moshkovitz and Solomon, for linear $k$ and sub-exponential $m$.
Item Metadata
Title |
Traces of Hypergraphs
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-09-03T09:02
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Description |
What is the largest number of distinct projections onto $k$ coordinates
guaranteed in every family of $m$ binary vectors of length $n$
This fundamental combinatorial question has applications in theoretical
computer science, geometry, machine learning, probability and more, and
is wide open for most settings of the parameters.
I will briefly mention some of the history, motivation and known results,
focusing on a recent asymptotic solution of the question, in joint work
with Moshkovitz and Solomon, for linear $k$ and sub-exponential $m$.
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Extent |
40.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Princeton University and Tel Aviv University
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Series | |
Date Available |
2020-03-02
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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 |
10.14288/1.0388811
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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