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

Published 10 Jul 2025 in math.PR and cs.LG | (2507.07625v1)

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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