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PELICAN: Permutation Equivariant and Lorentz Invariant or Covariant Aggregator Network for Particle Physics - 2022

PELICAN: Permutation Equivariant and Lorentz Invariant or Covariant Aggregator Network for Particle Physics

Research paper on Permutation Equivariant and Lorentz Invariant or Covariant Aggregator Network for Particle Physics

Research Area:  Metaheuristic Computing

Abstract:

Many current approaches to machine learning in particle physics use generic architectures that require large numbers of parameters and disregard underlying physics principles, limiting their applicability as scientific modeling tools. In this work, we present a machine learning architecture that uses a set of inputs maximally reduced with respect to the full 6-dimensional Lorentz symmetry, and is fully permutation-equivariant throughout. We study the application of this network architecture to the standard task of top quark tagging and show that the resulting network outperforms all existing competitors despite much lower model complexity. In addition, we present a Lorentz-covariant variant of the same network applied to a 4-momentum regression task.

Keywords:  
Permutation Equivariant
Lorentz Invariant
Covariant
Aggregator Network

Author(s) Name:   Alexander Bogatskiy, Timothy Hoffman, David W. Miller, Jan T. Offermann

Journal name:  Phenomenology

Conferrence name:  

Publisher name:  arXiv:2211.00454

DOI:  10.48550/arXiv.2211.00454

Volume Information: