• Thumbnail for Entropy (information theory)
    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...
    61 KB (7,728 words) - 20:23, 11 November 2024
  • In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision...
    21 KB (3,513 words) - 11:28, 5 November 2024
  • Differential entropy (also referred to as continuous entropy) is a concept in information theory that began as an attempt by Claude Shannon to extend...
    22 KB (2,728 words) - 17:43, 14 November 2024
  • Thumbnail for Conditional entropy
    In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable Y {\displaystyle...
    11 KB (2,071 words) - 00:39, 12 July 2024
  • 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...
    36 KB (4,530 words) - 03:52, 28 August 2024
  • arguing that the entropy of statistical mechanics and the information entropy of information theory are the same concept. Consequently, statistical mechanics...
    31 KB (4,196 words) - 13:25, 2 November 2024
  • message source Differential entropy, a generalization of Entropy (information theory) to continuous random variables Entropy of entanglement, related to...
    5 KB (707 words) - 10:14, 12 September 2024
  • In information theory, an entropy coding (or entropy encoding) is any lossless data compression method that attempts to approach the lower bound declared...
    4 KB (475 words) - 20:00, 15 November 2023
  • Thumbnail for Joint entropy
    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...
    7 KB (952 words) - 03:22, 10 November 2024
  • uncertainty) entropy encoding entropy (information theory) Fisher information Hick's law Huffman coding information bottleneck method information theoretic...
    1 KB (93 words) - 09:42, 8 August 2023
  • In the mathematical theory of probability, the entropy rate or source information rate is a function assigning an entropy to a stochastic process. For...
    5 KB (784 words) - 18:08, 6 November 2024
  • The joint quantum entropy generalizes the classical joint entropy to the context of quantum information theory. Intuitively, given two quantum states ρ...
    5 KB (827 words) - 13:37, 16 August 2023
  • Thumbnail for Mutual information
    concept of mutual information is intimately linked to that of entropy of a random variable, a fundamental notion in information theory that quantifies the...
    57 KB (8,727 words) - 16:23, 24 September 2024
  • 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 information theory, redundancy measures the fractional difference between the entropy H(X) of an ensemble X, and its maximum possible value log ⁡ (...
    8 KB (1,123 words) - 00:02, 24 August 2024
  • relative entropies, etc.) in the framework of quantum information theory to characterize the entropy of entanglement. John von Neumann established a rigorous...
    21 KB (3,026 words) - 19:19, 9 September 2024
  • 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...
    10 KB (1,106 words) - 17:26, 12 November 2024
  • random variable. The Shannon information is closely related to entropy, which is the expected value of the self-information of a random variable, quantifying...
    26 KB (4,345 words) - 21:25, 18 November 2024
  • Thumbnail for Entropy
    science, climate change, and information systems including the transmission of information in telecommunication. Entropy is central to the second law...
    108 KB (13,948 words) - 09:24, 20 November 2024
  • In information theory, the cross-entropy between two probability distributions p {\displaystyle p} and q {\displaystyle q} , over the same underlying...
    19 KB (3,249 words) - 17:51, 14 November 2024
  • distance Information gain in decision trees Information gain ratio Information theory and measure theory Jensen–Shannon divergence Quantum relative entropy Solomon...
    75 KB (12,662 words) - 16:23, 18 November 2024
  • entropy is an entropy measure used in quantum information theory. It is a generalization of the conditional entropy of classical information theory....
    4 KB (582 words) - 09:24, 6 February 2023
  • Thumbnail for Binary entropy function
    In information theory, the binary entropy function, denoted H ⁡ ( p ) {\displaystyle \operatorname {H} (p)} or H b ⁡ ( p ) {\displaystyle \operatorname...
    6 KB (1,071 words) - 05:06, 1 July 2024
  • In quantum information theory, quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical analog...
    13 KB (2,405 words) - 00:45, 29 December 2022
  • In statistical mechanics, entropy is formulated as a statistical property using probability theory. The statistical entropy perspective was introduced...
    18 KB (2,638 words) - 15:14, 21 September 2024
  • Thumbnail for Quantum information
    using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general...
    41 KB (4,542 words) - 01:00, 10 October 2024
  • Quantum Fisher information Other measures employed in information theory: Entropy (information theory) Kullback–Leibler divergence Self-information Robert, Christian...
    50 KB (7,558 words) - 04:41, 7 November 2024
  • Teachers of History proposing a theory of history based on the second law of thermodynamics and on the principle of entropy. The 1944 book What is Life?...
    63 KB (8,492 words) - 14:18, 26 September 2024