Lattice Gauge Symmetry in Neural Networks

David I. Müller, Matteo Favoni, Andreas Ipp, Daniel Schuh
2022 Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)   unpublished
We review a novel neural network architecture called lattice gauge equivariant convolutional neural networks (L-CNNs), which can be applied to generic machine learning problems in lattice gauge theory while exactly preserving gauge symmetry. We discuss the concept of gauge equivariance which we use to explicitly construct a gauge equivariant convolutional layer and a bilinear layer. The performance of L-CNNs and non-equivariant CNNs is compared using seemingly simple nonlinear regression tasks,
more » ... where L-CNNs demonstrate generalizability and achieve a high degree of accuracy in their predictions compared to their non-equivariant counterparts.
doi:10.22323/1.396.0185 fatcat:bbhsdjpiprgehoww4kwinraw7y