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mutual information is a concept from information theory. It is a measure of joint dependence between two random variables, which is not, like the usual correlation coefficient, limited to scalar variables.

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Can mutual information gain value be greater than 1

It depends on whether the alphabet of interest is finite with a known finite cardinality $K$, a finite but unknown cardinality $K$, or an infinite countable alphabet. If you are talking about mutual …
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