Abstract
We give a statistical interpretation of entropic optimal transport by showing that performing maximum-likelihood estimation for Gaussian deconvolution corresponds to calculating a projection with respect to the entropic optimal transport distance. This structural result gives theoretical support for the wide adoption of these tools in the machine learning community.
Original language | English (US) |
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Pages (from-to) | 1228-1235 |
Number of pages | 8 |
Journal | Comptes Rendus Mathematique |
Volume | 356 |
Issue number | 11-12 |
DOIs | |
State | Published - Nov 1 2018 |
ASJC Scopus subject areas
- General Mathematics