From 72b5777f0fc2e027e4c82759122415a6d9a64dbb Mon Sep 17 00:00:00 2001 From: Louis Lacoste Date: Thu, 23 May 2024 09:58:06 +0200 Subject: [PATCH] Ajout Wasserstein --- backup-slides.tex | 8 +++++--- presentation.pdf | Bin 810596 -> 814931 bytes 2 files changed, 5 insertions(+), 3 deletions(-) diff --git a/backup-slides.tex b/backup-slides.tex index 38510c9..289aec9 100644 --- a/backup-slides.tex +++ b/backup-slides.tex @@ -724,6 +724,8 @@ % Fonction de perte possible \end{frame} -% \begin{frame}{Distance de Wasserstein} -% TODO -% \end{frame} \ No newline at end of file +\begin{frame}{Distance de Wasserstein} + % TODO + $$W_p(\mu, \nu):=\bigl( \inf_{\pi \in \Pi(\mu,\nu)} \int_{\mathcal{X}\times\mathcal{X}} d(x,y)^p \,d\pi(x,y) \bigr)^{1/p}$$ + où $\Pi(\mu,\nu)$ est l'ensemble des mesures de probabilités sur $\mathcal{X}\times\mathcal{X}$ dont les marginales sont $\mu$ et $\nu$ +\end{frame} \ No newline at end of file diff --git a/presentation.pdf b/presentation.pdf index 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