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Structures of Neural Network Effective Theories

High Energy Physics - Theory 2023-05-12 v1 Disordered Systems and Neural Networks Machine Learning High Energy Physics - Phenomenology Machine Learning

Abstract

We develop a diagrammatic approach to effective field theories (EFTs) corresponding to deep neural networks at initialization, which dramatically simplifies computations of finite-width corrections to neuron statistics. The structures of EFT calculations make it transparent that a single condition governs criticality of all connected correlators of neuron preactivations. Understanding of such EFTs may facilitate progress in both deep learning and field theory simulations.

Keywords

Cite

@article{arxiv.2305.02334,
  title  = {Structures of Neural Network Effective Theories},
  author = {Ian Banta and Tianji Cai and Nathaniel Craig and Zhengkang Zhang},
  journal= {arXiv preprint arXiv:2305.02334},
  year   = {2023}
}

Comments

7+13 pages, 5 figures

R2 v1 2026-06-28T10:24:54.213Z