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Equivalence of Relative Entropy for Product Measures

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#probability-theory #measure-theory #entropy #optimal-transport
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Interpretation of shanon entropy

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#probability #information-theory #entropy
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Lipschitz constant of softmax with cross-entropy

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#machine-learning #lipschitz-functions #entropy #neural-networks
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Is there a meaning to $\mathrm{e}^{H(p_{i})}$ or $2^{H(p_{i})}$?

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#statistics #entropy #descriptive-statistics #statistical-mechanics
65
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The entropy of sorted random variables

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#probability-distributions #entropy #order-statistics
56
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How do topological entropy of a flow and entropy of Poincare map relate?

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#dynamical-systems #entropy
257
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Archimedean Clayton copula entropy

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#probability-theory #statistics #closed-form #entropy #copula
200
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I want to prove that multivariate normal distribution maximizes the entropy

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#entropy
342
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Entropy of a Probability Measure after Push-forward

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#measure-theory #entropy #change-of-variable #pushforward
73
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Entropy of finding error in coffee can packing problem

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#information-theory #entropy
213
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Simplify $\mathbb{E}\left[ -\log c(u,v)\right] $, the expected logarithm of the copula density

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#integration #statistics #information-theory #entropy #copula
48
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How to formulate weighted differential entropy (multivariate) in integral form?

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#integration #matrix-equations #information-theory #entropy
117
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How to calculate multivariate entropy, based on multivariate conditional entropy?

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#conditional-expectation #information-theory #entropy #chain-rule
47
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"Information content" of entropy in layman terms for non-computer scientists

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#definition #information-theory #entropy
40
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Map real numbers to solution space of underdetermined nonlinear system

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#probability-distributions #nonlinear-system #entropy #neural-networks

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