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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 levenstein_1968_on_the_redundancy_and_delay.pdf.
- Universal_code_(data_compression) wikiPageExternalLink itila.
- Universal_code_(data_compression) wikiPageExternalLink scholar?cluster=13442560459874106744.
- Universal_code_(data_compression) wikiPageExternalLink integers.html.
- Universal_code_(data_compression) wikiPageExternalLink pucrunch.
- Universal_code_(data_compression) wikiPageExternalLink DC-Sec3.html.
- Universal_code_(data_compression) wikiPageID "2522009".
- Universal_code_(data_compression) wikiPageLength "7108".
- Universal_code_(data_compression) wikiPageOutDegree "47".
- Universal_code_(data_compression) wikiPageRevisionID "703716323".
- Universal_code_(data_compression) wikiPageWikiLink Arithmetic_coding.
- Universal_code_(data_compression) wikiPageWikiLink Asterisk.
- Universal_code_(data_compression) wikiPageWikiLink Audio_codec.
- Universal_code_(data_compression) wikiPageWikiLink Block_code.
- Universal_code_(data_compression) wikiPageWikiLink Byte_coding.
- Universal_code_(data_compression) wikiPageWikiLink Category:Data_compression.
- Universal_code_(data_compression) wikiPageWikiLink Category:Lossless_compression_algorithms.
- Universal_code_(data_compression) wikiPageWikiLink Comma_code.
- Universal_code_(data_compression) wikiPageWikiLink Dagger_(typography).
- Universal_code_(data_compression) wikiPageWikiLink Data_compression.
- Universal_code_(data_compression) wikiPageWikiLink David_J._C._MacKay.
- Universal_code_(data_compression) wikiPageWikiLink Elias_delta_coding.
- Universal_code_(data_compression) wikiPageWikiLink Elias_gamma_coding.
- Universal_code_(data_compression) wikiPageWikiLink Elias_omega_coding.
- Universal_code_(data_compression) wikiPageWikiLink Entropy_(information_theory).
- Universal_code_(data_compression) wikiPageWikiLink Expected_value.
- Universal_code_(data_compression) wikiPageWikiLink Exponential-Golomb_coding.
- Universal_code_(data_compression) wikiPageWikiLink FLAC.
- Universal_code_(data_compression) wikiPageWikiLink Fibonacci_coding.
- Universal_code_(data_compression) wikiPageWikiLink Gauss–Kuzmin_distribution.
- Universal_code_(data_compression) wikiPageWikiLink Geometric_distribution.
- Universal_code_(data_compression) wikiPageWikiLink Golden_ratio.
- Universal_code_(data_compression) wikiPageWikiLink Golomb_coding.
- Universal_code_(data_compression) wikiPageWikiLink MPEG-4_AVC.
- Universal_code_(data_compression) wikiPageWikiLink Hexadecimal.
- Universal_code_(data_compression) wikiPageWikiLink Huffman_coding.
- Universal_code_(data_compression) wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Universal_code_(data_compression) wikiPageWikiLink Kullback–Leibler_divergence.
- Universal_code_(data_compression) wikiPageWikiLink Levenshtein_coding.
- Universal_code_(data_compression) wikiPageWikiLink Lexicographical_order.
- Universal_code_(data_compression) wikiPageWikiLink List_of_numeral_systems.
- Universal_code_(data_compression) wikiPageWikiLink Nibble.
- Universal_code_(data_compression) wikiPageWikiLink Optimal_code.
- Universal_code_(data_compression) wikiPageWikiLink Power_law.
- Universal_code_(data_compression) wikiPageWikiLink Prefix_code.
- Universal_code_(data_compression) wikiPageWikiLink Probability_distribution.
- Universal_code_(data_compression) wikiPageWikiLink Unary_coding.
- Universal_code_(data_compression) wikiPageWikiLink Universal_source_coding.
- Universal_code_(data_compression) wikiPageWikiLink University_of_California,_Irvine.
- Universal_code_(data_compression) wikiPageWikiLink Zeta_distribution.
- Universal_code_(data_compression) wikiPageWikiLink Zipfs_law.
- Universal_code_(data_compression) wikiPageWikiLink File:Fibonacci,_Elias_Gamma,_and_Elias_Delta_encoding_schemes.GIF.
- Universal_code_(data_compression) wikiPageWikiLink File:RiceEncodingScheme.GIF.
- Universal_code_(data_compression) wikiPageWikiLinkText "''implied probability distribution''".
- Universal_code_(data_compression) wikiPageWikiLinkText "Relationship of universal codes to practical compression".
- Universal_code_(data_compression) wikiPageWikiLinkText "Universal code (data compression)".
- Universal_code_(data_compression) wikiPageWikiLinkText "Universal code".
- Universal_code_(data_compression) wikiPageWikiLinkText "Universal codes".
- Universal_code_(data_compression) wikiPageWikiLinkText "Universal coding".
- Universal_code_(data_compression) wikiPageWikiLinkText "universal code".
- Universal_code_(data_compression) wikiPageWikiLinkText "universal codes".
- Universal_code_(data_compression) wikiPageUsesTemplate Template:Compression_Methods.
- Universal_code_(data_compression) wikiPageUsesTemplate Template:Refimprove.
- Universal_code_(data_compression) subject Category:Data_compression.
- Universal_code_(data_compression) subject Category:Lossless_compression_algorithms.
- Universal_code_(data_compression) hypernym Code.
- Universal_code_(data_compression) type Film.
- Universal_code_(data_compression) type Algorithm.
- Universal_code_(data_compression) type Datum.
- 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 "Universal code (data compression)".
- Universal_code_(data_compression) sameAs Q4176366.
- 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 Универсальный_код.
- Universal_code_(data_compression) sameAs Q4176366.
- Universal_code_(data_compression) wasDerivedFrom Universal_code_(data_compression)?oldid=703716323.
- Universal_code_(data_compression) depiction Fibonacci,_Elias_Gamma,_and_Elias_Delta_encoding_schemes.GIF.
- Universal_code_(data_compression) isPrimaryTopicOf Universal_code_(data_compression).