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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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How does a statistical divergence change under a Lipschitz push-forward map?
Let $\mu, \nu$ be two probability measures on a space $X$ (assume Polish space).
$T: X \rightarrow Y$ is a Lipschitz-map that acts as a push-forward on these measures; let $\mu^\prime = T_{\#\mu}$ and …