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Which are good books for applications of Shannon Information Theory?

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#probability #information-theory #signal-processing #applications #neural-networks
66
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Prove that something that can be learned from $S=\sum_{i=1}^n x_i$ is not less than what can be learned from $S+x_{n+1}$

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#linear-algebra #abstract-algebra #information-theory #mutual-information
519
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Why is the entropy of a posterior Gaussian distribution higher than its prior?

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#information-theory #entropy
256
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Find the parameter minimizing KL divergence

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#probability-distributions #optimization #information-theory #entropy #mutual-information
31
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Building Channels from Existing Channels: Changing an existing transmission matrix, maintaining reliability, and channel graph conceptuatlization

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#information-theory #coding-theory
301
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Approximate a function of binary entropy

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#real-analysis #approximation #information-theory #entropy
332
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Binary Symmetric Channels: Crossover probability and reliability

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#probability #probability-theory #information-theory #coding-theory
84
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Data Processing Inequality for Random Vectors forming a Markov Chain

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#markov-chains #information-theory #entropy #mutual-information
240
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Maximize a function involving binary entropy

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#optimization #numerical-methods #maxima-minima #information-theory #entropy
85
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Has anyone studied the quasimetric induced by the KL divergence?

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#probability #statistics #metric-spaces #information-theory #information-geometry
63
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Limit in definition of the Power Spectral Density

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#probability #measure-theory #stochastic-processes #information-theory #signal-processing
160
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Possible Dimensions of Linear Codes with length $n$ over $GF(q)$

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#combinatorics #information-theory #coding-theory
186
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Proving an inequality on Shannon entropy (non increasing under functions)

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#inequality #information-theory #entropy
45
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Is possible to construct a "relevant information theory" from the notion of filtration?

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#measure-theory #stochastic-processes #information-theory #filtrations
297
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Is entropy of a binomial distribution an increasing function of $n$?

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#probability #probability-distributions #random-variables #information-theory #entropy

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