# 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.

## Key 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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