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Neural Network-Based Approach to Phase Space Integration

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arxiv 1810.11509 v3 pith:63UATL33 submitted 2018-10-26 hep-ph hep-exphysics.comp-phstat.ML

classification hep-phhep-exphysics.comp-phstat.ML
keywords phasealgorithmapproachbeencarlocrossexamplesfeatures
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Monte Carlo methods are widely used in particle physics to integrate and sample probability distributions (differential cross sections or decay rates) on multi-dimensional phase spaces. We present a Neural Network (NN) algorithm optimized to perform this task. The algorithm has been applied to several examples of direct relevance for particle physics, including situations with non-trivial features such as sharp resonances and soft/collinear enhancements. Excellent performance has been demonstrated in all examples, with the properly trained NN achieving unweighting efficiencies of between 30% and 75%. In contrast to traditional Monte Carlo algorithms such as VEGAS, the NN-based approach does not require that the phase space coordinates be aligned with resonant or other features in the cross section.

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Cited by 3 Pith papers

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

  1. Schr\"{o}dinger Generator for High-Dimensional Integration and Sampling on Quantum Many-Body States

    nucl-th 2026-08 reject novelty 6.0 of 10

    A two-stage sampler (adaptive marginal map plus normalizing flow, then resampling) is proposed and shown on model nuclear densities up to D=624, though a core Jacobian equation appears sign-inconsistent.

  2. FASTColor -- Full-color Amplitude Surrogate Toolkit for QCD

    hep-ph 2025-09 conditional novelty 6.0 of 10

    An ML surrogate for the leading-to-full-color reweighting factor accelerates QCD event generation by up to a factor of two while preserving full-color accuracy.

  3. LeStrat-Net: Lebesgue style stratification for Monte Carlo simulations powered by machine learning

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A neural network learns isocontour-defined partition regions of an integrand, providing cheap region classification and volume estimates for stratified Monte Carlo integration and event unweighting.

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