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| visits | member for | 1 year, 11 months |
| seen | Jun 28 '11 at 17:33 | |
| stats | profile views | 4 |
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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. |
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Jun 24 |
awarded | Student |
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Jun 24 |
asked | Bounding mutual information given bounds on pointwise mutual information |