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Results tagged with entropy
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user 317106
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Continuity of entropies, replica trick and Hausdorff moment problem
Suppose I know that for any positive integer $m$, the entropy functional
\begin{align}
I^{(m)}[c] = \int dx p^m(x|c)
\end{align}
is maximized at the same value $c_* $. … Does it follow that (negative of the) differential entropy
\begin{align}
I[c] = \int dx p(x|c) \log(p(x|c))
\end{align}
is also maximized at $c_*$? …
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