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Distributional Matrix Completion via Nearest Neighbors in the Wasserstein Space

Distributional Matrix Completion via Nearest Neighbors in the Wasserstein Space

We introduce the problem of distributional matrix completion: Given a sparsely observed matrix of empirical distributions, we seek to impute the true distributions associated with both observed and unobserved matrix entries. This is a generalization of traditional matrix completion where the observations per matrix entry are scalar valued. To do …