Bridging multiple worlds: multi-marginal optimal transport for causal partial-identification problem
连接多个潜在世界:因果部分识别的多边际最优传输方法
Under the prevalent potential outcome model in causal inference, each unit is associated with multiple potential outcomes but at most one of which is observed, leading to many causal quantities being only partially identified. The inherent missing data issue echoes the multi-marginal optimal transport (MOT) problem, where marginal distributions are known, but how the marginals couple to form the joint distribution is unavailable. In this paper, we cast the causal partial…