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Jensen's inequality and LOTUS applied to entropy in probability

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#probability #probability-distributions #entropy #jensen-inequality
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Kullback-Leibler divergence nonnegative proof

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#probability #proof-explanation #expected-value #entropy
79
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Computing Maximum Entropy Distribution

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#probability-distributions #optimization #physics #statistical-inference #entropy
105
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Does "expected entropy" make sense?

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#probability #combinatorics #algorithms #information-theory #entropy
175
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Understanding mutual information

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#entropy
393
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Gaussian approximation to arbitrary distribution in Kullback–Leibler divergence

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#probability #statistics #normal-distribution #information-theory #entropy
41
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$H[X_1, .., X_{n-1}|X_n] = H[X_n , ..., X_2|X_1]$ for a stationary source

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#entropy
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Prove the maximum value of entropy function

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#probability #summation #solution-verification #information-theory #entropy
352
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How to show negative entropy is a proper closed convex function

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#functional-analysis #functions #convex-analysis #entropy
302
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How to get the formula for entropy loss in linear filters in frequency domain?

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#information-theory #entropy
165
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Maximize the entropy of Hamming distance

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#optimization #algorithms #computer-science #entropy #bit-strings
123
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Maximizing entropy of a joint distribution subject to marginals and probabilities on the diagonal

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#information-theory #entropy
193
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Means and entropy: what's the relationship?

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#statistics #means #entropy
490
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conditional entropy proof

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#information-theory #entropy
66
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When do we have $H(f(X)) = 0$?

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#information-theory #entropy

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