Title
Data driven conditional optimal transport
Abstract
A data-driven procedure is developed to compute the optimal map between two conditional probabilities rho(x vertical bar z(1), ..., z(L)) and mu(y vertical bar z(1), ..., z(L)), known only through samples and depending on a set of covariates z(l). The procedure is tested on synthetic data from the ACIC Data Analysis Challenge 2017 and it is applied to non-uniform lightness transfer between images. Exactly solvable examples and simulations are performed to highlight the differences with ordinary optimal transport.
Year
DOI
Venue
2021
10.1007/s10994-021-06060-0
MACHINE LEARNING
Keywords
DocType
Volume
Optimal transport, Conditional average treatment effect, Uncertainty quantification, Color transfer, Image restoration
Journal
110
Issue
ISSN
Citations 
11-12
0885-6125
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Esteban G. Tabak1147.45
Giulio Trigila201.01
Wenjun Zhao301.01