Vector quantile regression and optimal transport, from theory to numerics

Abstract In this paper, we first revisit the Koenker and Bassett variational approach to (univariate) quantile regression, emphasizing its link with latent factor representations and correlation maximization problems. We then review the multivariate extension due to Carlier et al. (Ann Statist 44(3)...

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Bibliographic Details
Main Authors: Carlier, Guillaume (Author), Chernozhukov, Victor (Author), De Bie, Gwendoline (Author), Galichon, Alfred (Author)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2021-09-20T17:28:49Z.
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