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Autores principales: Adamo, Joseph, Huang, Hung-Jin, Eifler, Tim
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2405.00125
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author Adamo, Joseph
Huang, Hung-Jin
Eifler, Tim
author_facet Adamo, Joseph
Huang, Hung-Jin
Eifler, Tim
contents We train neural networks to quickly generate redshift-space galaxy power spectrum covariances from a given parameter set (cosmology and galaxy bias). This covariance emulator utilizes a combination of traditional fully-connected network layers and transformer architecture to accurately predict covariance matrices for the high redshift, north galactic cap sample of the BOSS DR12 galaxy catalog. We run simulated likelihood analyses with emulated and brute-force computed covariances, and we quantify the network's performance via two different metrics: 1) difference in $χ^2$ and 2) likelihood contours for simulated BOSS DR 12 analyses. We find that the emulator returns excellent results over a large parameter range. We then use our emulator to perform a re-analysis of the BOSS HighZ NGC galaxy power spectrum, and find that varying covariance with cosmology along with the model vector produces $Ω_m = 0.276^{+0.013}_{-0.015}$, $H_0 = 70.2\pm 1.9$ km/s/Mpc, and $σ_8 = 0.674^{+0.058}_{-0.077}$. These constraints represent an average $0.46σ$ shift in best-fit values and a $5\%$ increase in constraining power compared to fixing the covariance matrix ($Ω_m = 0.293\pm 0.017$, $H_0 = 70.3\pm 2.0$ km/s/Mpc, $σ_8 = 0.702^{+0.063}_{-0.075}$). This work demonstrates that emulators for more complex cosmological quantities than second-order statistics can be trained over a wide parameter range at sufficiently high accuracy to be implemented in realistic likelihood analyses.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00125
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Neural network based emulation of galaxy power spectrum covariances -- A reanalysis of BOSS DR12 data
Adamo, Joseph
Huang, Hung-Jin
Eifler, Tim
Cosmology and Nongalactic Astrophysics
We train neural networks to quickly generate redshift-space galaxy power spectrum covariances from a given parameter set (cosmology and galaxy bias). This covariance emulator utilizes a combination of traditional fully-connected network layers and transformer architecture to accurately predict covariance matrices for the high redshift, north galactic cap sample of the BOSS DR12 galaxy catalog. We run simulated likelihood analyses with emulated and brute-force computed covariances, and we quantify the network's performance via two different metrics: 1) difference in $χ^2$ and 2) likelihood contours for simulated BOSS DR 12 analyses. We find that the emulator returns excellent results over a large parameter range. We then use our emulator to perform a re-analysis of the BOSS HighZ NGC galaxy power spectrum, and find that varying covariance with cosmology along with the model vector produces $Ω_m = 0.276^{+0.013}_{-0.015}$, $H_0 = 70.2\pm 1.9$ km/s/Mpc, and $σ_8 = 0.674^{+0.058}_{-0.077}$. These constraints represent an average $0.46σ$ shift in best-fit values and a $5\%$ increase in constraining power compared to fixing the covariance matrix ($Ω_m = 0.293\pm 0.017$, $H_0 = 70.3\pm 2.0$ km/s/Mpc, $σ_8 = 0.702^{+0.063}_{-0.075}$). This work demonstrates that emulators for more complex cosmological quantities than second-order statistics can be trained over a wide parameter range at sufficiently high accuracy to be implemented in realistic likelihood analyses.
title Neural network based emulation of galaxy power spectrum covariances -- A reanalysis of BOSS DR12 data
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2405.00125