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arXiv · 2504.03148

Spectral norm bound for the product of random Fourier-Walsh matrices

Libin Zhu·Damek Davis·Dmitriy Drusvyatskiy·Maryam Fazel
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Abstract

We consider matrix products of the form $A_1(A_2A_2)^\top\ldots(A_{m}A_{m}^\top)A_{m+1}$, where $A_i$ are normalized random Fourier-Walsh matrices. We identify an interesting polynomial scaling regime when the operator norm of the expected matrix product tends to zero as the dimension tends to infinity.

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Libin Zhu, Damek Davis, Dmitriy Drusvyatskiy, Maryam Fazel. 2025-04-04. Spectral norm bound for the product of random Fourier-Walsh matrices. https://arxiv.org/abs/2504.03148

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