2-Cats: 2D Copula Approximating Transforms

arXiv:2309.16391v2 Announce Type: replace
Abstract: Copulas are powerful statistical tools for capturing dependencies across multiple data dimensions. Applying Copulas involves estimating independent marginals, a straightforward task, followed by the much more challenging task of determining a single copulating function, $C$, that links these marginals. For bivariate data, a copula takes the form of a two-increasing function $C: (u,v)\in \mathbb{I}^2 \rightarrow \mathbb{I}$, where $\mathbb{I} = [0, 1]$. In this paper, we propose 2-Cats, a Neural Network (NN) model that learns two-dimensional …

abstract arxiv cats copula cs.ai cs.lg data dependencies dimensions form function independent multiple statistical tools type