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pr.likelihood – Modulus of continuity of paratermizing Wasserstein Answer

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pr.likelihood – Modulus of continuity of paratermizing Wasserstein

Let $x_1,dots,x_nin X$ some urbanity house $X$ and let $Delta$ breathe the likelihood simplex in $mathbb{R}^n$. Consider the map sending some $(w_1,dots,w_n)$ to the finitely supported touchstone $sum_{ok=1}^n w_kdelta_{x_n}$. This map is clearly steady with respect to the Wasserstein distance, however is it too Lipschitz?

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