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arXiv · 2507.07625

Concentration of measure for non-linear random matrices with applications to neural networks and non-commutative polynomials

Radosław Adamczak
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Abstract

We prove concentration inequalities for several models of non-linear random matrices. As corollaries we obtain estimates for linear spectral statistics of the conjugate kernel of neural networks and non-commutative polynomials in (possibly dependent) random matrices.

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Radosław Adamczak. 2025-07-10. Concentration of measure for non-linear random matrices with applications to neural networks and non-commutative polynomials. https://arxiv.org/abs/2507.07625

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