Two ReLU Layers is All You Need

arXiv:2610.28587 · cs.CC, cs.CG, cs.LG · Submitted 2026-10-20 · Read on arXiv

cs.CC, cs.CG, cs.LG

Submitted: 2026-10-20

Updated: 2026-10-20

License: http://creativecommons.org/licenses/by/4.0/

The gist: We prove that every ReLU network can be exactly simulated by a ReLU network with two hidden layers.

Abstract

We prove that every ReLU network can be exactly simulated by a ReLU network with two hidden layers. We present two proofs: one that is based on fillings in homological algebra and a direct combinatorial proof.

Related papers