Chimera: An atlas of regular vines on up to 8 nodes

Vine copulas have become the standard tool for modelling complex probabilistic dependence. It has been shown that the number of regular vines grows extremely quickly with the number of nodes. Chimera is the first attempt to map the vast space of regular vines. Software for operating with regular vin...

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Autores principales: Morales-Nápoles, Oswaldo, Rajabi-Bahaabadi, Mojtaba, Torres-Alves, Gina Alexandra, ’t Hart, Cornelis Marcel Pieter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Data Descriptor
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10230490/
https://www.ncbi.nlm.nih.gov/pubmed/37258539
http://dx.doi.org/10.1038/s41597-023-02252-6
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author Morales-Nápoles, Oswaldo
Rajabi-Bahaabadi, Mojtaba
Torres-Alves, Gina Alexandra
’t Hart, Cornelis Marcel Pieter
author_facet Morales-Nápoles, Oswaldo
Rajabi-Bahaabadi, Mojtaba
Torres-Alves, Gina Alexandra
’t Hart, Cornelis Marcel Pieter
author_sort Morales-Nápoles, Oswaldo
collection PubMed
description Vine copulas have become the standard tool for modelling complex probabilistic dependence. It has been shown that the number of regular vines grows extremely quickly with the number of nodes. Chimera is the first attempt to map the vast space of regular vines. Software for operating with regular vines is available for R, matlab and Python. However, no dataset containing all regular vines is available. Our atlas of regular vines, Chimera, comprises all 24 4 × 4 matrices representing regular vines on 4 nodes, 480 5 × 5 matrices representing regular vines on 5 nodes, 23,040 6 × 6 matrices representing regular vines on 6 nodes, 2,580,480 7 × 7 matrices representing regular vines on 7 nodes and 660,602,880 8 × 8 matrices representing regular vines on 8 nodes. Regular vines in Chimera are classified according to their tree-equivalence class. We fit all regular vines to synthetic data to demonstrate the potential of Chimera. Chimera provides thus a tool for researchers to navigate this vast space in an orderly fashion.
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spelling pubmed-102304902023-06-01 Chimera: An atlas of regular vines on up to 8 nodes Morales-Nápoles, Oswaldo Rajabi-Bahaabadi, Mojtaba Torres-Alves, Gina Alexandra ’t Hart, Cornelis Marcel Pieter Sci Data Data Descriptor Vine copulas have become the standard tool for modelling complex probabilistic dependence. It has been shown that the number of regular vines grows extremely quickly with the number of nodes. Chimera is the first attempt to map the vast space of regular vines. Software for operating with regular vines is available for R, matlab and Python. However, no dataset containing all regular vines is available. Our atlas of regular vines, Chimera, comprises all 24 4 × 4 matrices representing regular vines on 4 nodes, 480 5 × 5 matrices representing regular vines on 5 nodes, 23,040 6 × 6 matrices representing regular vines on 6 nodes, 2,580,480 7 × 7 matrices representing regular vines on 7 nodes and 660,602,880 8 × 8 matrices representing regular vines on 8 nodes. Regular vines in Chimera are classified according to their tree-equivalence class. We fit all regular vines to synthetic data to demonstrate the potential of Chimera. Chimera provides thus a tool for researchers to navigate this vast space in an orderly fashion. Nature Publishing Group UK 2023-05-31 /pmc/articles/PMC10230490/ /pubmed/37258539 http://dx.doi.org/10.1038/s41597-023-02252-6 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Data Descriptor
Morales-Nápoles, Oswaldo
Rajabi-Bahaabadi, Mojtaba
Torres-Alves, Gina Alexandra
’t Hart, Cornelis Marcel Pieter
Chimera: An atlas of regular vines on up to 8 nodes
title Chimera: An atlas of regular vines on up to 8 nodes
title_full Chimera: An atlas of regular vines on up to 8 nodes
title_fullStr Chimera: An atlas of regular vines on up to 8 nodes
title_full_unstemmed Chimera: An atlas of regular vines on up to 8 nodes
title_short Chimera: An atlas of regular vines on up to 8 nodes
title_sort chimera: an atlas of regular vines on up to 8 nodes
topic Data Descriptor
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10230490/
https://www.ncbi.nlm.nih.gov/pubmed/37258539
http://dx.doi.org/10.1038/s41597-023-02252-6
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