A remark on the diameter of random sections of convex bodies

Shahar Mendelson

doi:10.1007/978-3-319-09477-9_25

A remark on the diameter of random sections of convex bodies

Shahar Mendelson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles.

Original language	English
Pages (from-to)	395-404
Number of pages	10
Journal	Lecture Notes in Mathematics
Volume	2116
DOIs	https://doi.org/10.1007/978-3-319-09477-9_25
Publication status	Published - 2014
Externally published	Yes

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title = "A remark on the diameter of random sections of convex bodies",

abstract = "We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles.",

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AB - We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles.

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DO - 10.1007/978-3-319-09477-9_25

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SN - 0075-8434

VL - 2116

SP - 395

EP - 404

JO - Lecture Notes in Mathematics

JF - Lecture Notes in Mathematics

ER -

A remark on the diameter of random sections of convex bodies

Abstract

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