Question

Consider a fair coin flip. What is the mutual information between the top side and the bottom side of the coin?

score 185 · Answer 1 · 2026-02-23 08:28:28

185

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Consider a fair coin flip. What is the mutual information between the top side and the bottom side of the coin?

Published on 23 Feb 2026 - 8:28

score 40 · Answer 2 · 2026-03-28 20:04:24

40

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Generating Sequences with Monotonically Increasing Entropy

Published on 28 Mar 2026 - 20:04

score 213 · Answer 3 · 2023-09-16 18:36:48

213

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implement a fair 0-1 random variable using a biased coin with head p, while minimizing the expected number of coin tosses to $1/H(p)$

Published on 16 Sep 2023 - 18:36

score 275 · Answer 4 · 2026-03-29 17:31:22

275

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How much data can I store on used punch cards?

Published on 29 Mar 2026 - 17:31

score 130 · Answer 5 · 2023-09-22 14:17:59

130

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Vector-gaussian rate distortion theory with a covariance constraint

Published on 22 Sep 2023 - 14:17

score 70 · Answer 6 · 2026-03-29 17:31:41

70

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How would having a codeword withweight two affect the coset priority here?

Published on 29 Mar 2026 - 17:31

score 40 · Answer 7 · 2023-09-26 12:14:15

40

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Values of Lebesgue integrable function from the integral of the product of a known function.

Published on 26 Sep 2023 - 12:14

score 121 · Answer 8 · 2026-03-28 20:11:41

121

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Inequailities on conditional entropy of a markov chain

Published on 28 Mar 2026 - 20:11

score 21 · Answer 9 · 2026-03-29 16:49:32

21

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Zero as many correlations as possible while retaining as much correlation information as possible

Published on 29 Mar 2026 - 16:49

score 34 · Answer 10 · 2023-10-03 05:51:00

34

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Connection between error probability and MSE

Published on 03 Oct 2023 - 5:51

score 44 · Answer 11 · 2026-03-28 20:08:12

44

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Entropy: Show that $2[H(X, Y ) + H(Y, Z) + H(Z, X)]\geq 3H(X, Y, Z) + H(X) + H(Y ) + H(Z)$.

Published on 28 Mar 2026 - 20:08

score 45 · Answer 12 · 2026-03-28 20:08:15

45

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Prove that that $H(X,Y) + H(Y,Z) + H(Z,X) \geq 2H(X,Y,Z)$

Published on 28 Mar 2026 - 20:08

score 39 · Answer 13 · 2023-10-04 08:47:03

39

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On the non-equivalency of information density between radices

Published on 04 Oct 2023 - 8:47

score 44 · Answer 14 · 2026-02-23 06:18:48

44

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Computational Formula for Geodesic Distance on a Statistical Manifold

Published on 23 Feb 2026 - 6:18

score 28 · Answer 15 · 2026-03-30 02:11:47

28

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Analysis of Gaussian mixture probability densities and Gaussian mixture approximations

Published on 30 Mar 2026 - 2:11

List Question

Consider a fair coin flip. What is the mutual information between the top side and the bottom side of the coin?

Generating Sequences with Monotonically Increasing Entropy

implement a fair 0-1 random variable using a biased coin with head p, while minimizing the expected number of coin tosses to $1/H(p)$

How much data can I store on used punch cards?

Vector-gaussian rate distortion theory with a covariance constraint

How would having a codeword withweight two affect the coset priority here?

Values of Lebesgue integrable function from the integral of the product of a known function.

Inequailities on conditional entropy of a markov chain

Zero as many correlations as possible while retaining as much correlation information as possible

Connection between error probability and MSE

Entropy: Show that $2[H(X, Y ) + H(Y, Z) + H(Z, X)]\geq 3H(X, Y, Z) + H(X) + H(Y ) + H(Z)$.

Prove that that $H(X,Y) + H(Y,Z) + H(Z,X) \geq 2H(X,Y,Z)$

On the non-equivalency of information density between radices

Computational Formula for Geodesic Distance on a Statistical Manifold

Analysis of Gaussian mixture probability densities and Gaussian mixture approximations

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