Chimera - regular vines Python (4 to 8 nodes)

Vine copulas have become the standard tool for modelling complex probabilistic dependence. It has been shown that thenumber of regular vines grows extremely quickly with the number of nodes. Chimera is the first attempt to map the vast space ofregular vines. No dataset containing all regular vines is available. The atlas of regular vines, Chimera, comprises all 24 4×4 matrices representing regular vineson 4 nodes, 480 5×5 matrices representing regular vines on 5 nodes, 23,040 6×6 matrices representing regular vines on 6nodes, 2,580,480 7×7 matrices representing regular vines on 7 nodes and 660,602,880 8×8 matrices representing regularvines on 8 nodes. Regular vines in Chimera are classified according to their tree-equivalence class. All regular vines were fitted to synthetic data to demonstrate the potential of Chimera. It provides thus a tool for researchers to navigate this vast space in an orderly fashion.This dataset contain vine matrices in for Python <br>藤Copula（Vine Copula）已成为建模复杂概率依赖关系的标准工具。已有研究表明，正则藤（regular vine）的数量会随节点数的增加极速增长。Chimera是首个用于系统遍历正则藤广阔空间的数据集，此前尚无包含全部正则藤的公开数据集。作为正则藤图集的Chimera，涵盖了对应4个节点的全部24个4×4正则藤矩阵、对应5个节点的480个5×5正则藤矩阵、对应6个节点的23040个6×6正则藤矩阵、对应7个节点的2580480个7×7正则藤矩阵，以及对应8个节点的660602880个8×8正则藤矩阵。Chimera中的正则藤将根据其树等价类进行分类。为验证Chimera的应用潜力，研究人员将所有正则藤适配至合成数据集，以此展示该数据集的价值。本数据集为研究人员提供了有序遍历该庞大空间的工具，同时包含适用于Python的藤矩阵文件。