Gauge-equivariant neural networks as preconditioners in lattice QCD

Christoph Lehner, Tilo Wettig
2/10/2023
hep-latcs.LGmath.NA

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Abstract

We demonstrate that a state-of-the art multi-grid preconditioner can be learned efficiently by gauge-equivariant neural networks. We show that the models require minimal re-training on different gauge configurations of the same gauge ensemble and to a large extent remain efficient under modest modifications of ensemble parameters. We also demonstrate that important paradigms such as communication avoidance are straightforward to implement in this framework.

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@article{lehner2023gaugeequivariant,
  title  = {Gauge-equivariant neural networks as preconditioners in lattice QCD},
  author = {Christoph Lehner and Tilo Wettig},
  year   = {2023},
  eprint = {2302.05419},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2302.05419v1}
}

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