A Class of Random-Kernel Network Models

James Tian

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arXiv · 2509.01090

A Class of Random-Kernel Network Models

James Tian

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Abstract

We introduce random-kernel networks, a multilayer extension of random feature models where depth is created by deterministic kernel composition and randomness enters only in the outermost layer. We prove that deeper constructions can approximate certain functions with fewer Monte Carlo samples than any shallow counterpart, establishing a depth separation theorem in sample complexity.

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James Tian. 2025-09-01. A Class of Random-Kernel Network Models. https://arxiv.org/abs/2509.01090

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