On the validity of kernel approximations for orthogonally-initialized neural networks

James Martens

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arXiv · 2104.05878

On the validity of kernel approximations for orthogonally-initialized neural networks

James Martens

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Abstract

In this note we extend kernel function approximation results for neural networks with Gaussian-distributed weights to single-layer networks initialized using Haar-distributed random orthogonal matrices (with possible rescaling). This is accomplished using recent results from random matrix theory.

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James Martens. 2021-04-13. On the validity of kernel approximations for orthogonally-initialized neural networks. https://arxiv.org/abs/2104.05878

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