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Discovering the building blocks of dark matter halo density profiles with neural networks

Lucie-Smith, Luisa; Peiris, Hiranya V; Pontzen, Andrew; Nord, Brian; Thiyagalingam, Jeyan; Piras, Davide; (2022) Discovering the building blocks of dark matter halo density profiles with neural networks. Physical Review D , 105 , Article 103533. 10.1103/PhysRevD.105.103533. Green open access

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Abstract

The density profiles of dark matter halos are typically modeled using empirical formulae fitted to the density profiles of relaxed halo populations. We present a neural network model that is trained to learn the mapping from the raw density field containing each halo to the dark matter density profile. We show that the model recovers the widely-used Navarro-Frenk-White (NFW) profile out to the virial radius, and can additionally describe the variability in the outer profile of the halos. The neural network architecture consists of a supervised encoder-decoder framework, which first compresses the density inputs into a low-dimensional latent representation, and then outputs \rho(r) for any desired value of radius r. The latent representation contains all the information used by the model to predict the density profiles. This allows us to interpret the latent representation by quantifying the mutual information between the representation and the halos' ground-truth density profiles. A two-dimensional representation is sufficient to accurately model the density profiles up to the virial radius; however, a three-dimensional representation is required to describe the outer profiles beyond the virial radius. The additional dimension in the representation contains information about the infalling material in the outer profiles of dark matter halos, thus discovering the splashback boundary of halos without prior knowledge of the halos' dynamical history.

Type: Article
Title: Discovering the building blocks of dark matter halo density profiles with neural networks
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.105.103533
Publisher version: https://doi.org/10.1103/PhysRevD.105.103533
Language: English
Additional information: © 2022 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10149396
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