List questions from information-theory

Published on 09 Apr 2026 - 11:41

41

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Channel capacity with transition $\Pi:=\begin{bmatrix} 1-p & p & 0 \\ 0 & 1-p & p \\ p & 0 & 1-p \end{bmatrix}$

Published on 02 Jan 2023 - 19:42

83

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How much information is in a message?

Published on 10 Apr 2026 - 18:50

110

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Transformation of entropy

Published on 10 Apr 2026 - 15:02

60

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Entropy-like expression

Published on 11 Apr 2026 - 2:38

40

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Taking two limits vs using a single parameter for both limits

Published on 09 Apr 2026 - 14:38

170

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Calculating the information entropy of a discrete signal on a calculator

Published on 11 Apr 2026 - 5:35

410

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Prove $|f(y) − f(x)| \leq f(|y − x|)$ if $|y − x| ≤ 1/2$ given $f(x)=-x\log_2 x$

Published on 09 Jan 2023 - 7:51

80

Views

What is $\;\mathbb{E}[p(X,Y)/p(X)p(Y)]\;$?

Published on 09 Jan 2023 - 16:34

269

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Maximum value of Rényi entropy

Published on 09 Apr 2026 - 14:36

402

Views

Complete Codes and Kraft Inequality

Published on 25 Mar 2026 - 14:20

133

Views

How do I calculate conditional entropy?

Published on 08 Apr 2026 - 20:17

33

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Is there a lower bound on the rate of growth of distinct algorithms (vs. description size) in a Turing-complete system?

Published on 25 Mar 2026 - 20:36

154

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Upper bound on the mutual information for a mixture distribution

Published on 20 Jan 2023 - 22:03

55

Views

Is there a standard term for the log cardinality, or entropy, of the pre-image of an element with respect to a function?

Published on 11 Apr 2026 - 22:08

List Question

Kolmogorov Complexity and Compression Schemes

Channel capacity with transition $\Pi:=\begin{bmatrix} 1-p & p & 0 \\ 0 & 1-p & p \\ p & 0 & 1-p \end{bmatrix}$

How much information is in a message?

Transformation of entropy

Entropy-like expression

Taking two limits vs using a single parameter for both limits

Calculating the information entropy of a discrete signal on a calculator

Prove $|f(y) − f(x)| \leq f(|y − x|)$ if $|y − x| ≤ 1/2$ given $f(x)=-x\log_2 x$

What is $\;\mathbb{E}[p(X,Y)/p(X)p(Y)]\;$?

Maximum value of Rényi entropy

Complete Codes and Kraft Inequality

How do I calculate conditional entropy?

Is there a lower bound on the rate of growth of distinct algorithms (vs. description size) in a Turing-complete system?

Upper bound on the mutual information for a mixture distribution

Is there a standard term for the log cardinality, or entropy, of the pre-image of an element with respect to a function?

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