Print Email Facebook Twitter Chimera Title Chimera: An atlas of regular vines on up to 8 nodes Author Morales Napoles, O. (TU Delft Hydraulic Structures and Flood Risk) Rajabi-Bahaabadi, Mojtaba (Yazd University) Torres Alves, G.A. (TU Delft Hydraulic Structures and Flood Risk) 't Hart, C.M.P. (TU Delft Hydraulic Structures and Flood Risk; Tunnel Engineering Consultants) Date 2023 Abstract 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. Subject OA-Fund TU Delft To reference this document use: http://resolver.tudelft.nl/uuid:9afe30e2-1338-4fc8-98a0-7462eb659944 DOI https://doi.org/10.1038/s41597-023-02252-6 ISSN 2052-4463 Source Scientific Data, 10 (1) Part of collection Institutional Repository Document type journal article Rights © 2023 O. Morales Napoles, Mojtaba Rajabi-Bahaabadi, G.A. Torres Alves, C.M.P. 't Hart Files PDF s41597_023_02252_6.pdf 1.79 MB Close viewer /islandora/object/uuid:9afe30e2-1338-4fc8-98a0-7462eb659944/datastream/OBJ/view