Florian

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seen Jun 28 '11 at 17:33
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Jun
27
comment Bounding mutual information given bounds on pointwise mutual information
Yes, it is certainly true that pmi$(x,y)$ can be equal for all $x$ and $y$, but that does not rule out a tighter bound. For example, it is not hard to prove that $I(X; Y) \leq k(e^k-1)$. This is $\approx k^2$ when $k < 1$, and is a non-trivial strengthening of the bound $k$ when $k < 1$. I am wondering if there are non-trivial bounds that hold more generally.
Jun
24
awarded  Student
Jun
24
asked Bounding mutual information given bounds on pointwise mutual information