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Optimal data compression for Lyman-α forest cosmology
ABSTRACT The Lyman-α three-dimensional correlation functions have been widely used to perform cosmological inference using the baryon acoustic oscillation scale. While the traditional inference approach employs a data vector with several thousand data points, we apply near-maximal score compression...
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Published in: | Monthly notices of the Royal Astronomical Society 2024-01, Vol.528 (2), p.2667-2678 |
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creator | Gerardi, Francesca Cuceu, Andrei Joachimi, Benjamin Nadathur, Seshadri Font-Ribera, Andreu |
description | ABSTRACT
The Lyman-α three-dimensional correlation functions have been widely used to perform cosmological inference using the baryon acoustic oscillation scale. While the traditional inference approach employs a data vector with several thousand data points, we apply near-maximal score compression down to tens of compressed data elements. We show that carefully constructed additional data beyond those linked to each inferred model parameter are required to preserve meaningful goodness of fit tests that guard against unknown systematics, and to avoid information loss due to non-linear parameter dependences. We demonstrate, on suites of realistic mocks and Data Release 16 data from the Extended Baryon Oscillation Spectroscopic Survey, that our compression approach is lossless and unbiased, yielding a posterior that is indistinguishable from that of the traditional analysis. As an early application, we investigate the impact of a covariance matrix estimated from a limited number of mocks, which is only well conditioned in compressed space. |
doi_str_mv | 10.1093/mnras/stae092 |
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The Lyman-α three-dimensional correlation functions have been widely used to perform cosmological inference using the baryon acoustic oscillation scale. While the traditional inference approach employs a data vector with several thousand data points, we apply near-maximal score compression down to tens of compressed data elements. We show that carefully constructed additional data beyond those linked to each inferred model parameter are required to preserve meaningful goodness of fit tests that guard against unknown systematics, and to avoid information loss due to non-linear parameter dependences. We demonstrate, on suites of realistic mocks and Data Release 16 data from the Extended Baryon Oscillation Spectroscopic Survey, that our compression approach is lossless and unbiased, yielding a posterior that is indistinguishable from that of the traditional analysis. As an early application, we investigate the impact of a covariance matrix estimated from a limited number of mocks, which is only well conditioned in compressed space.</abstract><pub>Oxford University Press</pub><doi>10.1093/mnras/stae092</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0001-9070-3102</orcidid><orcidid>https://orcid.org/0000-0002-2169-0595</orcidid><orcidid>https://orcid.org/0000-0002-3033-7312</orcidid><oa>free_for_read</oa></addata></record> |
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title | Optimal data compression for Lyman-α forest cosmology |
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