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Connect definition of 1st-order Wasserstein distance given CDFs and general definition of Wasserstein distance

In this post, the definition of the 1st-order Wasserstein distance is $\int_{-\infty}^{\infty} |F_1 (x)-F_2(x)| dx$ In Wikipedia, I see something completely different. How do I connect the 2 ...
Iterator516's user avatar
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Bregman divergence from Wasserstein distance

I was wondering whether one has studied the Bregman divergence arising from a squared Wasserstein distance. More precisely, let $\Omega\subset \mathbb{R}^d$ be a compact set and $c\in \Omega\times \...
John's user avatar
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How to derive the $W_1$ Wasserstein distance written with the quantile functions (i.e. with inverse cumulative distribution functions) [closed]

INTRODUCTION. Either downloading the slides on Optimal Transport (OT) from the Marco Cuturi website (go to section "Teaching ENSAE --> OT --> Optimal Transport (Spring 2023) [slides]" ...
Ommo's user avatar
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