Communicating Likelihoods with Normalising Flows

Fuente: arXiv
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Autores principales: Araz, Jack Y., Beck, Anja, Reboud, Méril, Spannowsky, Michael, van Dyk, Danny
Formato: Preprint
Publicado: 2025
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author Araz, Jack Y.
Beck, Anja
Reboud, Méril
Spannowsky, Michael
van Dyk, Danny
author_facet Araz, Jack Y.
Beck, Anja
Reboud, Méril
Spannowsky, Michael
van Dyk, Danny
contents We present a machine-learning-based workflow to model an unbinned likelihood from its samples. A key advancement over existing approaches is the validation of the learned likelihood using rigorous statistical tests of the joint distribution, such as the Kolmogorov-Smirnov test of the joint distribution. Our method enables the reliable communication of experimental and phenomenological likelihoods for subsequent analyses. We demonstrate its effectiveness through three case studies in high-energy physics. To support broader adoption, we provide an open-source reference implementation, nabu.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09494
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Communicating Likelihoods with Normalising Flows
Araz, Jack Y.
Beck, Anja
Reboud, Méril
Spannowsky, Michael
van Dyk, Danny
High Energy Physics - Phenomenology
Machine Learning
High Energy Physics - Experiment
Data Analysis, Statistics and Probability
We present a machine-learning-based workflow to model an unbinned likelihood from its samples. A key advancement over existing approaches is the validation of the learned likelihood using rigorous statistical tests of the joint distribution, such as the Kolmogorov-Smirnov test of the joint distribution. Our method enables the reliable communication of experimental and phenomenological likelihoods for subsequent analyses. We demonstrate its effectiveness through three case studies in high-energy physics. To support broader adoption, we provide an open-source reference implementation, nabu.
title Communicating Likelihoods with Normalising Flows
topic High Energy Physics - Phenomenology
Machine Learning
High Energy Physics - Experiment
Data Analysis, Statistics and Probability
url https://arxiv.org/abs/2502.09494