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Is there a chain rule for Sibson's mutual information?

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#information-theory #mutual-information #renyi-entropy
51
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Why does the common information $C\equiv X\wedge Y$ give $H(X)=H(CX)$?

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#information-theory #entropy #mutual-information
22
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$X \to Y \to Z$ PGM with $X,Y,Z ~ \text{MVN}(0,\Sigma)$. What is mutual information $I(X;Z)$? (Cover & Thomas 8.9)

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#self-learning #mutual-information
61
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Derivative of a mutual information for a Gaussian channel

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#calculus #derivatives #information-theory #mutual-information
78
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Intuition on Mutual information in XAI

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#artificial-intelligence #mutual-information
35
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Need help finding the stationary points of a function

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#real-analysis #derivatives #optimization #information-theory #mutual-information
21
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Computing covariances of features/landmarks in environment in scan-matching algorithm

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#probability-theory #information-theory #covariance #robotics #mutual-information
46
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Total Correlation is difference of relative entropies in general?

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#probability-theory #information-theory #entropy #mutual-information
124
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What is the mutual information between ingredients of a mixture of Gaussians?

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#normal-distribution #mutual-information
31
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Characterization of functions that have the data processing inequality

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#information-theory #mutual-information
40
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Mutual information of dependent variables

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#information-theory #mutual-information
244
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$f$-mutual information and chain rule

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#probability #statistics #information-theory #mutual-information
17
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Finding mutual information in discrete linear partial observation stochastic process

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#stochastic-processes #normal-distribution #stochastic-analysis #discrete-time #mutual-information
76
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Is Entropy of a Discrete Random Variable Condition on a Continuous Random Variable Always bigger than or Equal to Zero?

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#probability-theory #information-theory #entropy #mutual-information
184
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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?

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#probability #information-theory #mutual-information

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