Human vs. machine -- 1:3. Joint analysis of classical and ML-based summary statistics of the Lyman-$α$ forest

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Chang, S., Nayak, P., Walther, M., Gruen, D.
Natura: Preprint
Pubblicazione: 2025
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866915428361568256
author Chang, S.
Nayak, P.
Walther, M.
Gruen, D.
author_facet Chang, S.
Nayak, P.
Walther, M.
Gruen, D.
contents In order to compress and more easily interpret Lyman-$α$ forest (Ly$α$F) datasets, summary statistics, e.g. the power spectrum, are commonly used. However, such summaries unavoidably lose some information, weakening the constraining power on parameters of interest. Recently, machine learning (ML)-based summary approaches have been proposed as an alternative to human-defined statistical measures. This raises a question: can ML-based summaries contain the full information captured by traditional statistics, and vice versa? In this study, we apply three human-defined techniques and one ML-based approach to summarize mock Ly$α$F data from hydrodynamical simulations and infer two thermal parameters of the intergalactic medium, assuming a power-law temperature-density relation. We introduce a metric for measuring the improvement in the figure of merit when combining two summaries. Consequently, we demonstrate that the ML-based summary approach not only contains almost all of the information from the human-defined statistics, but also that it provides significantly stronger constraints by a ratio of better than 1:3 in terms of the posterior volume on the temperature-density relation parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2508_03264
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Human vs. machine -- 1:3. Joint analysis of classical and ML-based summary statistics of the Lyman-$α$ forest
Chang, S.
Nayak, P.
Walther, M.
Gruen, D.
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
In order to compress and more easily interpret Lyman-$α$ forest (Ly$α$F) datasets, summary statistics, e.g. the power spectrum, are commonly used. However, such summaries unavoidably lose some information, weakening the constraining power on parameters of interest. Recently, machine learning (ML)-based summary approaches have been proposed as an alternative to human-defined statistical measures. This raises a question: can ML-based summaries contain the full information captured by traditional statistics, and vice versa? In this study, we apply three human-defined techniques and one ML-based approach to summarize mock Ly$α$F data from hydrodynamical simulations and infer two thermal parameters of the intergalactic medium, assuming a power-law temperature-density relation. We introduce a metric for measuring the improvement in the figure of merit when combining two summaries. Consequently, we demonstrate that the ML-based summary approach not only contains almost all of the information from the human-defined statistics, but also that it provides significantly stronger constraints by a ratio of better than 1:3 in terms of the posterior volume on the temperature-density relation parameters.
title Human vs. machine -- 1:3. Joint analysis of classical and ML-based summary statistics of the Lyman-$α$ forest
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2508.03264