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Partial Regularity for optimal transport...
De Philippis, Guido...
Partial Regularity for optimal transport maps by De Philippis, Guido ( Author )
Australian National University
27-07-2023
We prove that, for general cost functions on $\mathbb{R}^n$, or for the cost $d^2/2$ on a Riemannian manifold, optimal transport maps between smooth densities are always smooth outside a closed singular set of measure zero.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1209.5640
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