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Results tagged with it.information-theory
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user 4362
Theoretical and experimental aspects of information theory and coding theory. This tag covers but is not limited to following branches: information theory, information geometry, optimal transportation theory, coding theory.
21
votes
Question about information measurement for continuous random variable
The core issue is that Shannon's definition of differential entropy was a mistake - it doesn't have any of the nice properties that you would expect from the discrete case. Here are a couple other ser …
- 29.2k
18
votes
2
answers
947
views
Is there an axiomatic characterization of the entropy of a continuous random variable?
Let $X$ be a random variable taking values in $\{1,\ldots,n\}$, and let $p_i$ denote the probability of the event $\{X = i\}$. Shannon defined the entropy of $X$ to be the quantity
$$H(X) = -\sum_i …
- 29.2k