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, Chernozhukov, Victor, De Bie, Gwendoline, Galichon, Alfred
Other Authors: Massachusetts Institute of Technology. Department of Economics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2021
Online Access:https://hdl.handle.net/1721.1/131584