Improving the precision matrix for precision cosmology

Autores
Paz, Dante Javier; Sánchez, Ariel G.
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The estimation of cosmological constraints from observations of the large-scale structure of the Universe, such as the power spectrum or the correlation function, requires the knowledge of the inverse of the associated covariance matrix, namely the precision matrix, Ψ. In most analyses, Ψ is estimated from a limited set of mock catalogues. Depending on howmany mocks are used, this estimation has an associated error which must be propagated into the final cosmological constraints. For future surveys such as Euclid and Dark Energy Spectroscopic Instrument, the control of this additional uncertainty requires a prohibitively large number of mock catalogues. In this work, we test a novel technique for the estimation of the precision matrix, the covariance tapering method, in the context of baryon acoustic oscillation measurements. Even though this technique was originally devised as a way to speed up maximum likelihood estimations, our results show that it also reduces the impact of noisy precision matrix estimates on the derived confidence intervals, without introducing biases on the target parameters. The application of this technique can help future surveys to reach their true constraining power using a significantly smaller number of mock catalogues.
Fil: Paz, Dante Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina
Fil: Sánchez, Ariel G.. Max Planck Institut fur extraterrestrische Physik; Alemania
Materia
LARGESCALE STRUCTURE OF UNIVERSE
METHODS: DATA ANALYSIS
METHODS: OBSERVATIONAL
METHODS: STATISTICAL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/70474

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spelling Improving the precision matrix for precision cosmologyPaz, Dante JavierSánchez, Ariel G.LARGESCALE STRUCTURE OF UNIVERSEMETHODS: DATA ANALYSISMETHODS: OBSERVATIONALMETHODS: STATISTICALhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The estimation of cosmological constraints from observations of the large-scale structure of the Universe, such as the power spectrum or the correlation function, requires the knowledge of the inverse of the associated covariance matrix, namely the precision matrix, Ψ. In most analyses, Ψ is estimated from a limited set of mock catalogues. Depending on howmany mocks are used, this estimation has an associated error which must be propagated into the final cosmological constraints. For future surveys such as Euclid and Dark Energy Spectroscopic Instrument, the control of this additional uncertainty requires a prohibitively large number of mock catalogues. In this work, we test a novel technique for the estimation of the precision matrix, the covariance tapering method, in the context of baryon acoustic oscillation measurements. Even though this technique was originally devised as a way to speed up maximum likelihood estimations, our results show that it also reduces the impact of noisy precision matrix estimates on the derived confidence intervals, without introducing biases on the target parameters. The application of this technique can help future surveys to reach their true constraining power using a significantly smaller number of mock catalogues.Fil: Paz, Dante Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; ArgentinaFil: Sánchez, Ariel G.. Max Planck Institut fur extraterrestrische Physik; AlemaniaOxford University Press2015-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/70474Paz, Dante Javier; Sánchez, Ariel G.; Improving the precision matrix for precision cosmology; Oxford University Press; Monthly Notices of the Royal Astronomical Society; 454; 4; 12-2015; 4326-43340035-8711CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1093/mnras/stv2259info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/mnras/article/454/4/4326/1000532info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:32:26Zoai:ri.conicet.gov.ar:11336/70474instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:32:26.369CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Improving the precision matrix for precision cosmology
title Improving the precision matrix for precision cosmology
spellingShingle Improving the precision matrix for precision cosmology
Paz, Dante Javier
LARGESCALE STRUCTURE OF UNIVERSE
METHODS: DATA ANALYSIS
METHODS: OBSERVATIONAL
METHODS: STATISTICAL
title_short Improving the precision matrix for precision cosmology
title_full Improving the precision matrix for precision cosmology
title_fullStr Improving the precision matrix for precision cosmology
title_full_unstemmed Improving the precision matrix for precision cosmology
title_sort Improving the precision matrix for precision cosmology
dc.creator.none.fl_str_mv Paz, Dante Javier
Sánchez, Ariel G.
author Paz, Dante Javier
author_facet Paz, Dante Javier
Sánchez, Ariel G.
author_role author
author2 Sánchez, Ariel G.
author2_role author
dc.subject.none.fl_str_mv LARGESCALE STRUCTURE OF UNIVERSE
METHODS: DATA ANALYSIS
METHODS: OBSERVATIONAL
METHODS: STATISTICAL
topic LARGESCALE STRUCTURE OF UNIVERSE
METHODS: DATA ANALYSIS
METHODS: OBSERVATIONAL
METHODS: STATISTICAL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The estimation of cosmological constraints from observations of the large-scale structure of the Universe, such as the power spectrum or the correlation function, requires the knowledge of the inverse of the associated covariance matrix, namely the precision matrix, Ψ. In most analyses, Ψ is estimated from a limited set of mock catalogues. Depending on howmany mocks are used, this estimation has an associated error which must be propagated into the final cosmological constraints. For future surveys such as Euclid and Dark Energy Spectroscopic Instrument, the control of this additional uncertainty requires a prohibitively large number of mock catalogues. In this work, we test a novel technique for the estimation of the precision matrix, the covariance tapering method, in the context of baryon acoustic oscillation measurements. Even though this technique was originally devised as a way to speed up maximum likelihood estimations, our results show that it also reduces the impact of noisy precision matrix estimates on the derived confidence intervals, without introducing biases on the target parameters. The application of this technique can help future surveys to reach their true constraining power using a significantly smaller number of mock catalogues.
Fil: Paz, Dante Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina
Fil: Sánchez, Ariel G.. Max Planck Institut fur extraterrestrische Physik; Alemania
description The estimation of cosmological constraints from observations of the large-scale structure of the Universe, such as the power spectrum or the correlation function, requires the knowledge of the inverse of the associated covariance matrix, namely the precision matrix, Ψ. In most analyses, Ψ is estimated from a limited set of mock catalogues. Depending on howmany mocks are used, this estimation has an associated error which must be propagated into the final cosmological constraints. For future surveys such as Euclid and Dark Energy Spectroscopic Instrument, the control of this additional uncertainty requires a prohibitively large number of mock catalogues. In this work, we test a novel technique for the estimation of the precision matrix, the covariance tapering method, in the context of baryon acoustic oscillation measurements. Even though this technique was originally devised as a way to speed up maximum likelihood estimations, our results show that it also reduces the impact of noisy precision matrix estimates on the derived confidence intervals, without introducing biases on the target parameters. The application of this technique can help future surveys to reach their true constraining power using a significantly smaller number of mock catalogues.
publishDate 2015
dc.date.none.fl_str_mv 2015-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/70474
Paz, Dante Javier; Sánchez, Ariel G.; Improving the precision matrix for precision cosmology; Oxford University Press; Monthly Notices of the Royal Astronomical Society; 454; 4; 12-2015; 4326-4334
0035-8711
CONICET Digital
CONICET
url http://hdl.handle.net/11336/70474
identifier_str_mv Paz, Dante Javier; Sánchez, Ariel G.; Improving the precision matrix for precision cosmology; Oxford University Press; Monthly Notices of the Royal Astronomical Society; 454; 4; 12-2015; 4326-4334
0035-8711
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1093/mnras/stv2259
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/mnras/article/454/4/4326/1000532
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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