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arXiv · 2507.18555

Neural Tangent Kernels and Fisher Information Matrices for Simple ReLU Networks with Random Hidden Weights

Jun'ichi Takeuchi·Yoshinari Takeishi·Noboru Murata·Kazushi Mimura·Ka Long Keith Ho·Hiroshi Nagaoka
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Abstract

Fisher information matrices and neural tangent kernels (NTK) for 2-layer ReLU networks with random hidden weight are argued. We discuss the relation between both notions as a linear transformation and show that spectral decomposition of NTK with concrete forms of eigenfunctions with major eigenvalues. We also obtain an approximation formula of the functions presented by the 2-layer neural networks.

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Jun'ichi Takeuchi, Yoshinari Takeishi, Noboru Murata, Kazushi Mimura, Ka Long Keith Ho, Hiroshi Nagaoka. 2025-07-24. Neural Tangent Kernels and Fisher Information Matrices for Simple ReLU Networks with Random Hidden Weights. https://arxiv.org/abs/2507.18555

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