Author

Ro Jefferson

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Preprint Aug 2026

Deep neural networks as lattice gauge theories

We modify the NN/QFT duality [1] to incorporate the layerwise permutation symmetry of the network, resulting in a $(0\!+\!1)$-dimensional lattice gauge theory, in which each layer of $N$ neurons acts as an $N$-component lattice site, and the weight matrices play the role of gauge fields living on the links. In this fra...

Ro Jefferson, Shradha Ramakrishnan · 1 citation