Title
Learning a Gauge Symmetry with Neural Networks.
Abstract
We explore the capacity of neural networks to detect a symmetry with complex local and non-local patterns: the gauge symmetry $Z_2$. This symmetry is present in physical problems from topological transitions to QCD, and controls the computational hardness of instances of spin-glasses. Here, we show how to design a neural network, and a dataset, able to learn this symmetry and to find compressed latent representations of the gauge orbits. Our method pays special attention to system-wrapping loops, the so-called Polyakov loops, known to be particularly relevant for computational complexity.
Year
Venue
DocType
2019
CoRR
Journal
Volume
Citations 
PageRank 
abs/1904.07637
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Aurélien Decelle100.34
Victor Martin-Mayor200.68
B. Seoane3112.78