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arXiv · 1312.3608

A remark on the diameter of random sections of convex bodies

Shahar Mendelson
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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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Shahar Mendelson. 2013-12-12. A remark on the diameter of random sections of convex bodies. https://arxiv.org/abs/1312.3608

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