The curved exponential family of a staged tree
Staged tree models are a discrete generalization of Bayesian networks. We show that these form curved exponential families and derive their natural parameters, sufficient statistic, and cumulant-generating function as functions of their graphical representation. We give necessary and sufficient grap...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | IE |
| Repositorio: | Repositorio IE |
| OAI Identifier: | oai:repositorio.ie.edu:20.500.14417/3680 |
| Acceso en línea: | https://doi.org/10.1214/22-EJS1984 https://hdl.handle.net/20.500.14417/3680 |
| Access Level: | acceso abierto |
| Palabra clave: | Bayesian information criterion Chain event graph Curved exponential family Graphical model Staged tree. 12 Matemáticas ODS 9 - Industria, innovación e infraestructura |
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The curved exponential family of a staged treeLeonelli, ManueleGörgen, ChristianeMarigliano, OrlandoBayesian information criterionChain event graphCurved exponential familyGraphical modelStaged tree.12 MatemáticasODS 9 - Industria, innovación e infraestructuraStaged tree models are a discrete generalization of Bayesian networks. We show that these form curved exponential families and derive their natural parameters, sufficient statistic, and cumulant-generating function as functions of their graphical representation. We give necessary and sufficient graphical criteria for classifying regular subfamilies and discuss implications for model selection.yesPublishedProject euclidhttps://ror.org/02jjdwm75202520252022info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://doi.org/10.1214/22-EJS1984https://hdl.handle.net/20.500.14417/3680reponame:Repositorio IEinstname:IEInglésIE School of Science & TechnologyIE UniversityComputer Science and AIAttribution 4.0 Internationalhttps://creativecommons.org/licenses/by/4.0/deedinfo:eu-repo/semantics/openAccessoai:repositorio.ie.edu:20.500.14417/36802026-06-15T12:40:57Z |
| dc.title.none.fl_str_mv |
The curved exponential family of a staged tree |
| title |
The curved exponential family of a staged tree |
| spellingShingle |
The curved exponential family of a staged tree Leonelli, Manuele Bayesian information criterion Chain event graph Curved exponential family Graphical model Staged tree. 12 Matemáticas ODS 9 - Industria, innovación e infraestructura |
| title_short |
The curved exponential family of a staged tree |
| title_full |
The curved exponential family of a staged tree |
| title_fullStr |
The curved exponential family of a staged tree |
| title_full_unstemmed |
The curved exponential family of a staged tree |
| title_sort |
The curved exponential family of a staged tree |
| dc.creator.none.fl_str_mv |
Leonelli, Manuele Görgen, Christiane Marigliano, Orlando |
| author |
Leonelli, Manuele |
| author_facet |
Leonelli, Manuele Görgen, Christiane Marigliano, Orlando |
| author_role |
author |
| author2 |
Görgen, Christiane Marigliano, Orlando |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
https://ror.org/02jjdwm75 |
| dc.subject.none.fl_str_mv |
Bayesian information criterion Chain event graph Curved exponential family Graphical model Staged tree. 12 Matemáticas ODS 9 - Industria, innovación e infraestructura |
| topic |
Bayesian information criterion Chain event graph Curved exponential family Graphical model Staged tree. 12 Matemáticas ODS 9 - Industria, innovación e infraestructura |
| description |
Staged tree models are a discrete generalization of Bayesian networks. We show that these form curved exponential families and derive their natural parameters, sufficient statistic, and cumulant-generating function as functions of their graphical representation. We give necessary and sufficient graphical criteria for classifying regular subfamilies and discuss implications for model selection. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022 2025 2025 |
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info:eu-repo/semantics/article |
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article |
| dc.identifier.none.fl_str_mv |
https://doi.org/10.1214/22-EJS1984 https://hdl.handle.net/20.500.14417/3680 |
| url |
https://doi.org/10.1214/22-EJS1984 https://hdl.handle.net/20.500.14417/3680 |
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Inglés |
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Inglés |
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IE School of Science & Technology IE University Computer Science and AI |
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Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/deed info:eu-repo/semantics/openAccess |
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Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/deed |
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openAccess |
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application/pdf application/pdf |
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Project euclid |
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Project euclid |
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reponame:Repositorio IE instname:IE |
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IE |
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Repositorio IE |
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Repositorio IE |
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