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KL Divergence: Show that $D(P_{X,Y} \|Q_{X,Y}) = D(P_X\|Q_X) + D(P_{Y |X}\|Q_{Y\|X}|P_X)$

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#convergence-divergence #machine-learning #entropy
105
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Conditional Entropy Inequality $H(X) \geq H(X | Y = y)$

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#probability #entropy
64
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How to calculate the entropy of bigrams of a language H(X|X)

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#entropy
52
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von Neumann entropy in a reduced state space

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#matrices #mathematical-physics #entropy #projection-matrices
79
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Why does this approximation for binary entropy of $\cos^ {2}(t)$ hold?

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#probability #number-theory #trigonometry #approximation #entropy
33
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Discrete joint probability of 2 random variables

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#information-theory #entropy
11
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Varying coefficeint of entropic linearized program, can we bound the change in solutions?

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#linear-programming #entropy
80
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Proof that Polygonal Billiards Have Zero Entropy

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#dynamical-systems #entropy #ergodic-theory #polygons #billiards
143
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An Upper Bound for Entropy $H(X)$ in Terms of $\mathbb{E}(\log X)$

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#probability #analysis #upper-lower-bounds #entropy
21
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infinite binary sequences of a certain family

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#sequences-and-series #combinatorics #entropy #noise #erdos-conjecture
135
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Maximum entropy distribution with given mean, variance and skewness?

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#probability-distributions #entropy #maximum-principle
30
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calculation of matrix-based transformation of differential entropy

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#information-theory #entropy
36
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Embedded subshift in $[0,1]$ has dimension $0$?

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#dynamical-systems #entropy #ergodic-theory #dimension-theory-analysis #hausdorff-measure
112
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Fano's Inequality and the Best Estimator

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#probability #random-variables #conditional-probability #information-theory #entropy
113
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Dimensional analysis and differential entropy

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#entropy #dimensional-analysis

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