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One-sided epsilon-approximants Bukh, Boris
Description
Suppose $A$ and $P$ are sets in $\mathbb{R}^d$ such that every convex set containing α-fraction of points P contains at least $(\alpha -\epsilon)$-fraction of points of $A$, for every $\alpha$. In such a case, set $A$ is called a one-sided $\epsilon$-approximant to $P$. We show that every $P$ admits a one-sided $\epsilon$-approximant of size depending only on $\epsilon$ and on $d$. (Joint work with Gariel Nivasch.)
Item Metadata
| Title |
One-sided epsilon-approximants
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-10-25T15:55
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| Description |
Suppose $A$ and $P$ are sets in $\mathbb{R}^d$ such that every convex set containing α-fraction of points P contains at least $(\alpha -\epsilon)$-fraction of points of $A$, for every $\alpha$. In such a case, set $A$ is called a one-sided $\epsilon$-approximant to $P$. We show that every $P$ admits a one-sided $\epsilon$-approximant of size depending only on $\epsilon$ and on $d$. (Joint work with Gariel Nivasch.)
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| Extent |
47 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Carnegie Mellon University
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| Series | |
| Date Available |
2017-06-07
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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 |
10.14288/1.0348141
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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