Chimera

An atlas of regular vines on up to 8 nodes

Journal article (2023)

Authors

O. Morales Napoles Hydraulic Structures and Flood Risk - CEG
Mojtaba Rajabi-Bahaabadi Yazd University
G.A. Torres Alves Hydraulic Structures and Flood Risk - CEG
C.M.P. 't Hart Tunnel Engineering Consultants, Hydraulic Structures and Flood Risk - CEG
Research Group
Hydraulic Structures and Flood Risk (CEG) (TU Delft)
Copyright: © 2023 O. Morales Napoles, Mojtaba Rajabi-Bahaabadi, G.A. Torres Alves, C.M.P. 't Hart
DOI: https://doi.org/10.1038/s41597-023-02252-6
More Info
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Published Date

2023

Language

English

Faculty

Civil Engineering & Geosciences

Department

Hydraulic Engineering

Research Group

Hydraulic Structures and Flood Risk

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.