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

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arxiv 2211.00454 v2 pith:EEENM4US submitted 2022-11-01 hep-ph cs.LGhep-ex

classification hep-phcs.LGhep-ex
keywords networkphysicsarchitecturelearninglorentzmachineparticletask
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Explicit or Implicit? Encoding Physics at the Precision Frontier

    hep-ph 2026-03 conditional novelty 6.0 of 10

    On three precision classification tasks — reweighting-based unfolding, likelihood-ratio estimation, and weakly supervised anomaly detection — a Lorentz-equivariant transformer and a pretrained foundation model perform...

  2. Learning Broken Symmetries with Approximate Invariance

    hep-ph 2024-12 accept novelty 6.0 of 10

    A dual-subnet network with a learned pT-dependent weighting learns broken symmetries faster than unconstrained networks while avoiding the performance ceiling of exactly invariant networks.

  3. KIGNet: Physics-Motivated Multi-Graph Representation Learning for Explainable Jet Tagging

    hep-ph 2025-12 conditional novelty 5.0 of 10

    E-PCN reaches 94.67% macro-accuracy on 10-class jet tagging by weighting graphs with angular separation, transverse momentum, momentum fraction, and invariant mass, with Grad-CAM showing the first two account for 76% ...

  4. Transformer networks for Heavy flavor jet tagging

    hep-ph 2024-11 conditional novelty 2.0 of 10

    A review of transformer-based jet tagging that highlights the authors' CA-Mixer network as a state-of-the-art, faster alternative to Particle Transformer.

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