We present an optimal transport framework for performing regression when both covariate and response are probability distributions on a compact Euclidean subset $\Omega\subset\mathbb{R}^d$, $d>1$.

翻译：我们提出一个最优传输框架，用于处理协变量和响应变量均为紧欧几里得子集 $\Omega\subset\mathbb{R}^d$（$d>1$）上概率分布时的回归问题。