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- Universal_code_(data_compression) abstract "In data compression, a universal code for integers is a prefix code that maps the positive integers onto binary codewords, with the additional property that whatever the true probability distribution on integers, as long as the distribution is monotonic (i.e., p(i) ≥ p(i + 1) for all positive i), the expected lengths of the codewords are within a constant factor of the expected lengths that the optimal code for that probability distribution would have assigned. A universal code is asymptotically optimal if the ratio between actual and optimal expected lengths is bounded by a function of the information entropy of the code that, in addition to being bounded, approaches 1 as entropy approaches infinity.In general, most prefix codes for integers assign longer codewords to larger integers. Such a code can be used to efficiently communicate a message drawn from a set of possible messages, by simply ordering the set of messages by decreasing probability and then sending the index of the intended message. Universal codes are generally not used for precisely known probability distributions, and no universal code is known to be optimal for any distribution used in practice.A universal code should not be confused with universal source coding, in which the data compression method need not be a fixed prefix code and the ratio between actual and optimal expected lengths must approach one. However, note that an asymptotically optimal universal code can be used on independent identically-distributed sources, by using increasingly large blocks, as a method of universal source coding.".
- Universal_code_(data_compression) thumbnail Fibonacci,_Elias_Gamma,_and_Elias_Delta_encoding_schemes.GIF?width=300.
- Universal_code_(data_compression) wikiPageExternalLink scholar?cluster=13442560459874106744.
- Universal_code_(data_compression) wikiPageExternalLink integers.html.
- Universal_code_(data_compression) wikiPageExternalLink levenstein_1968_on_the_redundancy_and_delay.pdf.
- Universal_code_(data_compression) wikiPageExternalLink pucrunch.
- Universal_code_(data_compression) wikiPageExternalLink DC-Sec3.html.
- Universal_code_(data_compression) wikiPageExternalLink itila.
- Universal_code_(data_compression) wikiPageExternalLink book.html.
- Universal_code_(data_compression) wikiPageID "2522009".
- Universal_code_(data_compression) wikiPageRevisionID "644928560".
- Universal_code_(data_compression) hasPhotoCollection Universal_code_(data_compression).
- Universal_code_(data_compression) subject Category:Data_compression.
- Universal_code_(data_compression) subject Category:Lossless_compression_algorithms.
- Universal_code_(data_compression) type Abstraction100002137.
- Universal_code_(data_compression) type Act100030358.
- Universal_code_(data_compression) type Activity100407535.
- Universal_code_(data_compression) type Algorithm105847438.
- Universal_code_(data_compression) type Event100029378.
- Universal_code_(data_compression) type LosslessCompressionAlgorithms.
- Universal_code_(data_compression) type Procedure101023820.
- Universal_code_(data_compression) type PsychologicalFeature100023100.
- Universal_code_(data_compression) type Rule105846932.
- Universal_code_(data_compression) type YagoPermanentlyLocatedEntity.
- Universal_code_(data_compression) comment "In data compression, a universal code for integers is a prefix code that maps the positive integers onto binary codewords, with the additional property that whatever the true probability distribution on integers, as long as the distribution is monotonic (i.e., p(i) ≥ p(i + 1) for all positive i), the expected lengths of the codewords are within a constant factor of the expected lengths that the optimal code for that probability distribution would have assigned.".
- Universal_code_(data_compression) label "Code universel".
- Universal_code_(data_compression) label "Universal code (data compression)".
- Universal_code_(data_compression) label "Универсальный код".
- Universal_code_(data_compression) label "범용 부호".
- Universal_code_(data_compression) sameAs Code_universel.
- Universal_code_(data_compression) sameAs 범용_부호.
- Universal_code_(data_compression) sameAs m.07kpsw.
- Universal_code_(data_compression) sameAs Q4176366.
- Universal_code_(data_compression) sameAs Q4176366.
- Universal_code_(data_compression) sameAs Universal_code_(data_compression).
- Universal_code_(data_compression) wasDerivedFrom Universal_code_(data_compression)?oldid=644928560.
- Universal_code_(data_compression) depiction Fibonacci,_Elias_Gamma,_and_Elias_Delta_encoding_schemes.GIF.
- Universal_code_(data_compression) isPrimaryTopicOf Universal_code_(data_compression).
