Intrinsic Sparsity of Kantorovich solutions
Let $X,Y$ be two finite sets of points having $\#X = m$ and $\#Y = n$ points with $\mu = (1/m)(\delta _{x_1} + \dots + \delta _{x_m})$ and $\nu = (1/n) (\delta _{y_1} + \dots + \delta _{y_n})$ being the associated uniform probability measures. A result of Birkhoff implies that if $m = n$, then the K...
Main Authors: | Hosseini, Bamdad, Steinerberger, Stefan |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2022-10-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.392/ |
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