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RemyDegenne committed Mar 8, 2024
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4 changes: 2 additions & 2 deletions blueprint/src/sections/f_divergence.tex
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Expand Up @@ -136,9 +136,9 @@ \section{Data-processing inequality}
%\lean{}
%\leanok
\uses{def:fDiv}
Let $\mu$ and $\nu$ be two measures on $\mathcal X \times \mathcal Y$, and $\mu_X, \nu_X$ be their marginals on $\mathcal X$.
Let $\mu$ and $\nu$ be two measures on $\mathcal X \times \mathcal Y$, and let $\mu_X, \nu_X$ be their marginals on $\mathcal X$.
Then $D_f(\mu_X, \nu_X) \le D_f(\mu, \nu)$.
Similarly, for $\mu_Y, \nu_Y$ be the marginals on $\mathcal Y$, $D_f(\mu_Y, \nu_Y) \le D_f(\mu, \nu)$.
Similarly, for $\mu_Y, \nu_Y$ the marginals on $\mathcal Y$, $D_f(\mu_Y, \nu_Y) \le D_f(\mu, \nu)$.
\end{theorem}

\begin{proof}
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