Algebraic statistics in practice: applications to networks

Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical statistics. In this review, we illustrate this on three problems related to networks...

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Detalles Bibliográficos
Autores: Casanellas Rius, Marta|||0000-0002-1724-8358, Petrovic, Sonja, Uhler, Caroline
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/344004
Acceso en línea:https://hdl.handle.net/2117/344004
https://dx.doi.org/10.1146/annurev-statistics-031017-100053
Access Level:acceso abierto
Palabra clave:Algebraic statistics
Network models
Graphical models
Causal structure discovery
Phylogenetics
Classificació AMS::08 General algebraic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling Algebraic statistics in practice: applications to networksCasanellas Rius, Marta|||0000-0002-1724-8358Petrovic, SonjaUhler, CarolineAlgebraic statisticsNetwork modelsGraphical modelsCausal structure discoveryPhylogeneticsClassificació AMS::08 General algebraic systemsÀrees temàtiques de la UPC::Matemàtiques i estadísticaAlgebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical statistics. In this review, we illustrate this on three problems related to networks: network models for relational data, causal structure discovery, and phylogenetics. For each problem, we give an overview of recent results in algebraic statistics, with emphasis on the statistical achievements made possible by these tools and their practical relevance for applications to other scientific disciplines.Peer Reviewed20202020-01-0120212021-04-20journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/344004https://dx.doi.org/10.1146/annurev-statistics-031017-100053reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3440042026-05-27T15:37:01Z
dc.title.none.fl_str_mv Algebraic statistics in practice: applications to networks
title Algebraic statistics in practice: applications to networks
spellingShingle Algebraic statistics in practice: applications to networks
Casanellas Rius, Marta|||0000-0002-1724-8358
Algebraic statistics
Network models
Graphical models
Causal structure discovery
Phylogenetics
Classificació AMS::08 General algebraic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Algebraic statistics in practice: applications to networks
title_full Algebraic statistics in practice: applications to networks
title_fullStr Algebraic statistics in practice: applications to networks
title_full_unstemmed Algebraic statistics in practice: applications to networks
title_sort Algebraic statistics in practice: applications to networks
dc.creator.none.fl_str_mv Casanellas Rius, Marta|||0000-0002-1724-8358
Petrovic, Sonja
Uhler, Caroline
author Casanellas Rius, Marta|||0000-0002-1724-8358
author_facet Casanellas Rius, Marta|||0000-0002-1724-8358
Petrovic, Sonja
Uhler, Caroline
author_role author
author2 Petrovic, Sonja
Uhler, Caroline
author2_role author
author
dc.subject.none.fl_str_mv Algebraic statistics
Network models
Graphical models
Causal structure discovery
Phylogenetics
Classificació AMS::08 General algebraic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Algebraic statistics
Network models
Graphical models
Causal structure discovery
Phylogenetics
Classificació AMS::08 General algebraic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
description Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical statistics. In this review, we illustrate this on three problems related to networks: network models for relational data, causal structure discovery, and phylogenetics. For each problem, we give an overview of recent results in algebraic statistics, with emphasis on the statistical achievements made possible by these tools and their practical relevance for applications to other scientific disciplines.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01
2021
2021-04-20
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/344004
https://dx.doi.org/10.1146/annurev-statistics-031017-100053
url https://hdl.handle.net/2117/344004
https://dx.doi.org/10.1146/annurev-statistics-031017-100053
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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