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Alternative axiomatic derivation of the Shannon entropy

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#information-theory #entropy
42
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Proof of $I(X; Y) = H(Y) - H(Y\vert X)$?

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#statistics #information-theory #entropy #mutual-information
86
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How to interpret the term 'average doubling rate'?

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#terminology #information-theory #entropy #gambling #bernoulli-distribution
80
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Pinsker $\sigma$-algebra is $T$ invariant

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#probability #measure-theory #dynamical-systems #entropy #ergodic-theory
54
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How to understand powers of operators in the Petz-Renyi relative entropy?

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#entropy #quantum-information
154
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Matrix Logarithm for cvx package of optimization

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#optimization #convex-optimization #matlab #entropy #semidefinite-programming
93
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Quantity of information in a 8 letter word

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#information-theory #entropy
116
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How to find $\delta$ such that $ \delta \log \frac{1}{\delta} + (1-\delta) \log \frac{1}{1-\delta} < \epsilon$ for any $\epsilon > 0$?

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#probability #inequality #upper-lower-bounds #entropy
32
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Prove that $|a - b| \le \Delta \implies |h(a) - h(b)| \le \Delta$

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#logarithms #absolute-value #epsilon-delta #upper-lower-bounds #entropy
620
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The Taylor expansion of the binary entropy

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#taylor-expansion #information-theory #entropy
148
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Minimize the entropy with zero mean and given standard deviation

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#inequality #optimization #entropy
71
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How to simplify $\log_2$ more easily? Need guidance

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#logarithms #entropy #gray-code
69
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Minimum of Normalized Joint Entropy

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#entropy
169
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An inequality relating the Kullback-Leibler divergence of two discrete distributions with constant reference distribution

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#probability-distributions #entropy
62
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Maximize entropy under Kulback-Leibler divergence

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#inequality #optimization #entropy

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