In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential...
70 KB (10,021 words) - 04:30, 5 November 2024
similar to the information entropy by Claude Shannon and Ralph Hartley, developed in the 1940s. The defining expression for entropy in the theory of statistical...
29 KB (3,686 words) - 16:36, 19 November 2024
in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory include...
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In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable Y {\displaystyle...
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arguing that the entropy of statistical mechanics and the information entropy of information theory are the same concept. Consequently, statistical mechanics...
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In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision...
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In statistics and information theory, a maximum entropy probability distribution has entropy that is at least as great as that of all other members of...
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Differential entropy (also referred to as continuous entropy) is a concept in information theory that began as an attempt by Claude Shannon to extend...
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message source Differential entropy, a generalization of Entropy (information theory) to continuous random variables Entropy of entanglement, related to...
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The joint quantum entropy generalizes the classical joint entropy to the context of quantum information theory. Intuitively, given two quantum states ρ...
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uncertainty) entropy encoding entropy (information theory) Fisher information Hick's law Huffman coding information bottleneck method information theoretic...
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science, climate change, and information systems including the transmission of information in telecommunication. Entropy is central to the second law...
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In information theory, joint entropy is a measure of the uncertainty associated with a set of variables. The joint Shannon entropy (in bits) of two discrete...
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In the mathematical theory of probability, the entropy rate or source information rate is a function assigning an entropy to a stochastic process. For...
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concept of mutual information is intimately linked to that of entropy of a random variable, a fundamental notion in information theory that quantifies the...
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In information theory, redundancy measures the fractional difference between the entropy H(X) of an ensemble X, and its maximum possible value log (...
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using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general...
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In information theory, the cross-entropy between two probability distributions p {\displaystyle p} and q {\displaystyle q} , over the same underlying...
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Holographic principle (redirect from Holographic entropy bound)
used measure of information content, now known as Shannon entropy. As an objective measure of the quantity of information, Shannon entropy has been enormously...
32 KB (3,969 words) - 01:35, 22 November 2024
In quantum information theory, quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical analog...
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Negentropy (redirect from Negative entropy)
In information theory and statistics, negentropy is used as a measure of distance to normality. The concept and phrase "negative entropy" was introduced...
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In information theory, the binary entropy function, denoted H ( p ) {\displaystyle \operatorname {H} (p)} or H b ( p ) {\displaystyle \operatorname...
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In information theory, the information content, self-information, surprisal, or Shannon information is a basic quantity derived from the probability of...
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In information theory, an entropy coding (or entropy encoding) is any lossless data compression method that attempts to approach the lower bound declared...
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inference techniques rooted in Shannon information theory, Bayesian probability, and the principle of maximum entropy. These techniques are relevant to any...
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In statistical mechanics, entropy is formulated as a statistical property using probability theory. The statistical entropy perspective was introduced...
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signal. Entropy Entropy production Entropy rate History of entropy Entropy of mixing Entropy (information theory) Entropy (computing) Entropy (energy dispersal)...
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Coherent information is an entropy measure used in quantum information theory. It is a property of a quantum state ρ and a quantum channel N {\displaystyle...
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relative entropies, etc.) in the framework of quantum information theory to characterize the entropy of entanglement. John von Neumann established a rigorous...
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Quantum Fisher information Other measures employed in information theory: Entropy (information theory) Kullback–Leibler divergence Self-information Robert, Christian...
50 KB (7,557 words) - 07:30, 24 November 2024