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alternate case: redundancy (information theory)
Kullback–Leibler divergence
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would be used instead of Q which is currently used. By analogy with information theory, it is called the relative entropy of P with respect to Q. ExpressedUnicity distance (980 words) [view diff] no match in snippet view article find links to article
to determine the key completely, assuming the underlying message has redundancy. Claude Shannon defined the unicity distance in his 1949 paper "CommunicationTotal correlation (1,437 words) [view diff] no match in snippet view article find links to article
In probability theory and in particular in information theory, total correlation (Watanabe 1960) is one of several generalizations of the mutual informationFeature selection (6,925 words) [view diff] no match in snippet view article find links to article
and can thus be removed without incurring much loss of information. Redundancy and irrelevance are two distinct notions, since one relevant feature mayInteraction information (2,426 words) [view diff] no match in snippet view article find links to article
In probability theory and information theory, the interaction information is a generalization of the mutual information for more than two variables. ThereW. Wesley Peterson (486 words) [view diff] no match in snippet view article find links to article
mathematician and computer scientist. He was best known for designing the cyclic redundancy check (CRC), for which research he was awarded the Japan Prize in 1999Set redundancy compression (636 words) [view diff] no match in snippet view article find links to article
In computer science and information theory, set redundancy compression are methods of data compression that exploits redundancy between individual dataBeta encoder (392 words) [view diff] no match in snippet view article find links to article
beta-expansion. In practice, beta encoders have attempted to exploit the redundancy provided by the non-uniqueness of the expansion in base beta to produceBlahut–Arimoto algorithm (1,334 words) [view diff] no match in snippet view article find links to article
function of a source or a source encoding (i.e. compression to remove the redundancy). They are iterative algorithms that eventually converge to one of theComputer engineering compendium (840 words) [view diff] no match in snippet view article find links to article
multithreading Dependability Active redundancy Dual modular redundancy Triple modular redundancy High-availability Seamless Redundancy N-version programming RAIDVladimir Levenshtein (1,747 words) [view diff] no match in snippet view article find links to article
September 2017) was a Russian and Soviet scientist who did research in information theory, error-correcting codes, and combinatorial design. Among other contributionsCode (1,981 words) [view diff] no match in snippet view article find links to article
so-called error-correcting code works by including carefully crafted redundancy with the stored (or transmitted) data. Examples include Hamming codesEntropy in thermodynamics and information theory (3,734 words) [view diff] no match in snippet view article find links to article
Because the mathematical expressions for information theory developed by Claude Shannon and Ralph Hartley in the 1940s are similar to the mathematics ofRobustness (computer science) (1,178 words) [view diff] no match in snippet view article
the ways biological systems adapt to environments is through the use of redundancy. Many organs are redundant in humans. The kidney is one such example.Fountain code (1,460 words) [view diff] no match in snippet view article find links to article
to massive savings on the number of storage units for a given level of redundancy and reliability. The requirements of erasure code design for data storageSpace–time block code (3,788 words) [view diff] no match in snippet view article find links to article
copies of the data may be closer to the original signal than others. This redundancy results in a higher chance of being able to use one or more of the receivedRank error-correcting code (1,205 words) [view diff] no match in snippet view article find links to article
that could detect and correct multiple random rank errors. By adding redundancy with coding k-symbol word to a n-symbol word, a rank code can correctHybrid automatic repeat request (1,390 words) [view diff] no match in snippet view article find links to article
to be transmitted using an error-detecting (ED) code such as a cyclic redundancy check (CRC). Receivers detecting a corrupted message will request a newDecoding Reality (1,598 words) [view diff] no match in snippet view article find links to article
Vedral published by Oxford University Press in 2010. Vedral examines information theory and proposes information as the most fundamental building block ofTheoretical computer science (4,803 words) [view diff] no match in snippet view article find links to article
probabilistic computation, quantum computation, automata theory, information theory, cryptography, program semantics and verification, algorithmic gameLogical connective (3,164 words) [view diff] no match in snippet view article find links to article
compound statements are logically equivalent. A less trivial example of a redundancy is the classical equivalence between ¬ p ∨ q {\displaystyle \neg p\veeDon't-care term (2,327 words) [view diff] no match in snippet view article find links to article
logic, a don't-care term (abbreviated DC, historically also known as redundancies, irrelevancies, optional entries, invalid combinations, vacuous combinationsConvolutional code (2,834 words) [view diff] no match in snippet view article find links to article
channel encoded stream. n is less than k because channel coding inserts redundancy in the input bits. The memory is often called the "constraint length"Digital data (1,813 words) [view diff] no match in snippet view article find links to article
Digital data, in information theory and information systems, is information represented as a string of discrete symbols, each of which can take on oneLow-density parity-check code (4,601 words) [view diff] no match in snippet view article find links to article
closely-related turbo codes) have gained prominence in coding theory and information theory since the late 1990s. The codes today are widely used in applicationsScene statistics (1,233 words) [view diff] no match in snippet view article find links to article
images/scenes, one can study the characteristics of information related to redundancy and efficient coding. Across-domain statistics determine how an autonomousThad McIntosh Guyer (2,411 words) [view diff] no match in snippet view article find links to article
legal precedents in U.S. federal and state courts. Guyer developed an information theory framework for the proper functioning of whistleblower reporting channelsErasure code (2,287 words) [view diff] no match in snippet view article find links to article
application of the parity check erasure code. In the simple case where k = 2, redundancy symbols may be created by sampling different points along the line betweenGolomb ruler (1,471 words) [view diff] no match in snippet view article find links to article
the antennas in a Golomb ruler configuration in order to obtain minimum redundancy of the Fourier component sampling. Multi-ratio current transformers useVariety (cybernetics) (2,897 words) [view diff] no match in snippet view article
logarithm of the same quantity. Variety is used in cybernetics as an information theory that is easily related to deterministic finite automata, and lessRule of inference (7,292 words) [view diff] no match in snippet view article find links to article
minimalistic frameworks to represent foundational principles without redundancy. Rules of inference are relevant to many areas, such as proofs in mathematicsBerlekamp–Welch algorithm (1,600 words) [view diff] no match in snippet view article find links to article
number of errors e = ⌊(n-k)/2⌋. If the equations can not be solved (due to redundancy), e is reduced by 1 and the process repeated, until the equations canKees Schouhamer Immink (3,698 words) [view diff] no match in snippet view article find links to article
Immink, in addition to his practical contributions, has contributed to information theory. He has written over 120 articles and four books, including CodesList of algorithms (7,945 words) [view diff] no match in snippet view article find links to article
bits in a binary word Redundancy checks Adler-32 Cyclic redundancy check Damm algorithm Fletcher's checksum Longitudinal redundancy check (LRC) Luhn algorithm:Compressed sensing (5,874 words) [view diff] no match in snippet view article find links to article
recovery of that solution. Compressed sensing takes advantage of the redundancy in many interesting signals—they are not pure noise. In particular, manyHamming code (4,043 words) [view diff] no match in snippet view article find links to article
any two columns are pairwise linearly independent. Due to the limited redundancy that Hamming codes add to the data, they can only detect and correct errorsPer Martin-Löf (2,874 words) [view diff] no match in snippet view article find links to article
the Church–Turing thesis. Following Martin-Löf's work, algorithmic information theory defines a random string as one that cannot be produced from any computerFrederick Jelinek (3,164 words) [view diff] no match in snippet view article find links to article
entropy, redundancy, do not solve all our problems." During the next decade, a combination of factors shut down the application of information theory to naturalGenetic code (8,070 words) [view diff] no match in snippet view article find links to article
Degeneracy is the redundancy of the genetic code. This term was given by Bernfield and Nirenberg. The genetic code has redundancy but no ambiguity (seeData warehouse (4,775 words) [view diff] no match in snippet view article find links to article
the absence of a data warehousing architecture, an enormous amount of redundancy was required to support multiple decision support environments. In largerSemantic compression (702 words) [view diff] no match in snippet view article find links to article
descriptors (reduced effect of language diversity – limited language redundancy, a step towards a controlled dictionary). As in the example above, itFourier–Motzkin elimination (2,492 words) [view diff] no match in snippet view article find links to article
reduced system are redundant. Redundancy may be implied by other inequalities or by inequalities in information theory (a.k.a. Shannon type inequalities)Jensen–Shannon divergence (2,308 words) [view diff] no match in snippet view article find links to article
S2CID 12121632. Schneidman, Elad; Bialek, W; Berry, M.J. II (2003). "Synergy, Redundancy, and Independence in Population Codes". Journal of Neuroscience. 23 (37):Codon usage bias (3,187 words) [view diff] no match in snippet view article find links to article
many amino acids to be encoded by more than one codon. Because of such redundancy it is said that the genetic code is degenerate. The genetic codes of differentGauge theory (6,775 words) [view diff] no match in snippet view article find links to article
spacetime. Both gauge invariance and diffeomorphism invariance reflect a redundancy in the description of the system. An alternative theory of gravitationInformation behavior (3,709 words) [view diff] no match in snippet view article find links to article
information, considering time limit, diminishing relevance, increasing redundancy, exhausting resources Sense of relief, sometimes satisfaction, sometimesWavelet packet decomposition (1,273 words) [view diff] no match in snippet view article find links to article
the overall number of coefficients is still the same and there is no redundancy. From the point of view of compression, the standard wavelet transformSelf-organization (6,806 words) [view diff] no match in snippet view article find links to article
stability (e.g. Nyquist stability criterion). Warren McCulloch proposed "Redundancy of Potential Command" as characteristic of the organization of the brainTimeline of algorithms (2,073 words) [view diff] no match in snippet view article find links to article
Rabin and Dana Scott 1960 – Karatsuba multiplication 1961 – CRC (Cyclic redundancy check) invented by W. Wesley Peterson 1962 – AVL trees 1962 – QuicksortIndex of electronics articles (2,802 words) [view diff] no match in snippet view article find links to article
Logic – Log-periodic antenna – Long-haul communications – Longitudinal redundancy check – Long-tailed pair – Long-term stability – Loop – Loop gain – Loop-backChallenge point framework (1,257 words) [view diff] no match in snippet view article find links to article
variables to the skill level of the individual, task difficulty, and information theory concepts. The fundamental idea is that “motor tasks represent differentExpectation–maximization algorithm (7,512 words) [view diff] no match in snippet view article find links to article
of Rolf Sundberg. Stockholm University. Martin-Löf, P. The notion of redundancy and its use as a quantitative measure of the deviation between a statisticalSpatial correlation (wireless) (1,507 words) [view diff] no match in snippet view article
analyzed mathematically by majorization of vectors with eigenvalues. In information theory, the ergodic channel capacity represents the amount of informationList of engineering branches (517 words) [view diff] no match in snippet view article find links to article
statistics Front-end engineering Knowledge engineering Life-cycle engineering Redundancy (engineering) Reverse engineering Sustainable engineering TraditionalOutline of machine learning (3,386 words) [view diff] no match in snippet view article find links to article
LogitBoost Manifold alignment Markov chain Monte Carlo (MCMC) Minimum redundancy feature selection Mixture of experts Multiple kernel learning Non-negativeScalability (2,132 words) [view diff] no match in snippet view article find links to article
number of redundant physical data copies. Clusters which provide "lazy" redundancy by updating copies in an asynchronous fashion are called 'eventually consistent'History of ancient numeral systems (2,961 words) [view diff] no match in snippet view article find links to article
enclosed tokens in their sizes, shapes, and quantities. Eventually, the redundancy created by the tokens inside and impressions outside a bulla seems toMacy conferences (3,618 words) [view diff] no match in snippet view article find links to article
Shannon's information theory Language, symbols and neurosis Intelligibility in speech communications A formal analysis of semantic redundancy in printedCyclic code (5,214 words) [view diff] no match in snippet view article find links to article
rate and when m {\displaystyle m} and t {\displaystyle t} are equal, redundancy is least and is equal to 3 t − 1 {\displaystyle 3t-1} . By using multipleNewton Faller (314 words) [view diff] no match in snippet view article find links to article
Faller Award". D. A. Huffman, "A Method for the Construction of Minimum Redundancy Codes," Proc. IRE, Vol. 40, No. 9, pp. 1098–1101, 1952. Robert G. GallagerVerhoeff algorithm (1,513 words) [view diff] no match in snippet view article find links to article
Transactions on Information Theory. 31 (1): 102–105. doi:10.1109/TIT.1985.1056991. Sisson, Roger L. (May 1958). "An improved decimal redundancy check". CommunicationsReed–Solomon error correction (12,395 words) [view diff] no match in snippet view article find links to article
In information theory and coding theory, Reed–Solomon codes are a group of error-correcting codes that were introduced by Irving S. Reed and Gustave SolomonFunctional completeness (1,957 words) [view diff] no match in snippet view article find links to article
which means that set is functionally complete. However, it contains redundancy: this set is not a minimal functionally complete set, because the conditionalNeural correlates of consciousness (5,439 words) [view diff] no match in snippet view article find links to article
quantum consciousness based on quantum mechanics. There is an apparent redundancy and parallelism in neural networks so, while activity in one group ofFree energy principle (6,424 words) [view diff] no match in snippet view article find links to article
density). This relates free energy minimization to the principle of minimum redundancy. Free energy minimisation provides a useful way to formulate normativeNetwork calculus (4,434 words) [view diff] no match in snippet view article find links to article
of the side-effects on latency bounds of combinations of scheduling, redundancy and synchronization mechanisms in time-sensitive networks (Doctorat deMax Bense (2,539 words) [view diff] no match in snippet view article find links to article
American mathematician George David Birkhoff. Thus some termini like "redundancy" and "entropy" have to be equated with "Ordnungsmaß" and "Materialverbrauch"Mathematical proof (4,780 words) [view diff] no match in snippet view article find links to article
invalidating a computer-assisted proof can be reduced by incorporating redundancy and self-checks into calculations, and by developing multiple independentBubacarr Bah (844 words) [view diff] no match in snippet view article find links to article
dimensionality reduction that uses bi-Lipschitz embeddings, which can exploit data redundancy. In 2016 Bah was appointed the German Chair in Mathematics at the AfricanMeme (8,551 words) [view diff] no match in snippet view article find links to article
mechanisms (vaguely resembling those of gene transcription) enabled by the redundancy and other properties of most meme expression languages which stabilizePattern recognition (4,259 words) [view diff] no match in snippet view article find links to article
smaller-dimensionality vector that is easier to work with and encodes less redundancy, using mathematical techniques such as principal components analysis (PCA)Systems theory (6,120 words) [view diff] no match in snippet view article find links to article
social science Pattern language Recursion (computer science) Reductionism Redundancy (engineering) Reversal theory Social rule system theory SociotechnicalRadar (12,042 words) [view diff] no match in snippet view article find links to article
Conference. Mark R. Bell (1993). "Information theory and radar waveform design". IEEE Transactions on Information Theory. 39 (5): 1578–1597. doi:10.1109/18Arousal (6,759 words) [view diff] no match in snippet view article find links to article
cerebral cortex. All of these five systems are linked and show similar redundancy. The pathways described are ascending pathways, but there also arousalOutline of organizational theory (656 words) [view diff] no match in snippet view article find links to article
communication Technology–organization–environment framework Voluntary redundancy Job characteristic theory Leader–member exchange theory Organisation climateSmart grid (14,205 words) [view diff] no match in snippet view article find links to article
capital cost and faster start-up times), together with the necessary redundancy in the electricity grid, resulting in high costs to the electricity companiesSudoku code (2,927 words) [view diff] no match in snippet view article find links to article
One Sudoku code can be seen as 72.5 bits of information and 184.3 bits redundancy. Theoretically a string of 72 bits can be mapped to one sudoku that isMultirate filter bank and multidimensional directional filter banks (4,934 words) [view diff] no match in snippet view article find links to article
Construction, Angular resolution, Perfect reconstruction, and Small redundancy. N-dimensional directional filter banks (NDFB) can be used in capturingEvolution of sexual reproduction (9,514 words) [view diff] no match in snippet view article find links to article
sex differences, hypothesised that the male sex might also provide a "redundancy pruning" function. Ilan Eshel suggested that sex prevents rapid evolutionBiological network inference (3,831 words) [view diff] no match in snippet view article find links to article
models, e.g. Least-angle regression, by Bayesian network or based on Information theory approaches. it can also be done by the application of a correlation-basedBloom filter (10,780 words) [view diff] no match in snippet view article find links to article
the bits will be set, and these will be apparently random, minimizing redundancy and maximizing information content. Assume that a hash function selectsCat state (4,717 words) [view diff] no match in snippet view article find links to article
encode information. The numerous dimensions enable a first degree of redundancy and hence of error protection within a single physical degree of freedomList decoding (3,774 words) [view diff] no match in snippet view article find links to article
\epsilon >0} . In other words, this is error-correction with optimal redundancy. This answered a question that had been open for about 50 years. ThisVon Neumann–Bernays–Gödel set theory (15,666 words) [view diff] no match in snippet view article find links to article
sets; the second, denoted by "η", is between a set and a class. This redundancy is required by many-sorted logic because variables of different sortsGlossary of artificial intelligence (29,481 words) [view diff] no match in snippet view article find links to article
repeating or continuous process. algorithmic probability In algorithmic information theory, algorithmic probability, also known as Solomonoff probability, isGlossary of computer science (23,802 words) [view diff] no match in snippet view article find links to article
reliable data transmission methods. This typically involves the removal of redundancy and the correction or detection of errors in the transmitted data. cognitiveIan F. Akyildiz (5,198 words) [view diff] no match in snippet view article find links to article
engineering notion of event-to-sink reliability, which leverages the inherent redundancy and spatio-temporal correlation in sensor networks to maximize the networkIndex of philosophy articles (I–Q) (12,318 words) [view diff] no match in snippet view article
Informal mathematics Information bias (psychology) Information ethics Information theory Informed consent Informed refusal Infoshop Infoshop.org Ingeborg Bachmann