Meshes that trap random subspaces

Mihailo Stojnic

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arXiv · 1304.0003

Meshes that trap random subspaces

Mihailo Stojnic

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Abstract

In our recent work \cite{StojnicCSetam09,StojnicUpper10} we considered solving under-determined systems of linear equations with sparse solutions. In a large dimensional and statistical context we proved results related to performance of a polynomial $\ell_1$-optimization technique when used for solving such systems. As one of the tools we used a probabilistic result of Gordon \cite{Gordon88}. In this paper we revisit this classic result in its core form and show how it can be reused to in a sense prove its own optimality.

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BibTeX RIS

Mihailo Stojnic. 2013-03-29. Meshes that trap random subspaces. https://arxiv.org/abs/1304.0003

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