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arXiv · 2210.06809

The five gradients inequality for non quadratic costs

Thibault Caillet
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Abstract

We give a proof of the "five gradients inequality" of Optimal Transportation Theory for general costs of the form $c(x,y)=h(x-y)$ where $h$ is a $C^1$ strictly convex radially symmetric function.

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Thibault Caillet. 2022-10-13. The five gradients inequality for non quadratic costs. https://arxiv.org/abs/2210.06809

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