Norms of structured random matrices

TL;DR

This paper analyzes the expected size of structured random matrices using mathematical bounds and norms.

Contribution

The paper provides optimal bounds for the expected norm of structured random matrices under various entry distributions.

Findings

Optimal bounds for the expected norm of structured random matrices are proven up to logarithmic terms.

Precise order of expected norms is determined in certain cases up to constants.

Results are derived using operator norms of Hadamard products of the structure matrix.

Abstract

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\begin{document}$$1\le p,q \le \infty $$\end{document}1≤p,q≤∞. We prove optimal bounds up to logarithmic terms when the underlying random matrix X has i.i.d. Gaussian entries, independent mean-zero bounded entries, or independent mean-zero \documentclass[12pt]{minimal}
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