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- Information_dimension abstract "In information theory, information dimension is an information measure for random vectors in Euclidean space, based on the normalized entropy of finely quantized versions of the random vectors. This concept was first introduced by Alfréd Rényi in 1959.Simply speaking, it is a measure of the dimension of a probability distribution. It characterizes the growth rate of the Shannon entropy given by successively finer discretizations of the space.In 2010, Wu and Verdú gave an operational characterization of Rényi information dimension as the fundamental limit of almost lossless data compression for analog sources under various regularity constraints of the encoder/decoder.".
- Information_dimension wikiPageExternalLink BF02063299.
- Information_dimension wikiPageExternalLink books?id=VWq5GG6ycxMC.
- Information_dimension wikiPageID "4705339".
- Information_dimension wikiPageLength "13178".
- Information_dimension wikiPageOutDegree "20".
- Information_dimension wikiPageRevisionID "704225334".
- Information_dimension wikiPageWikiLink Alfréd_Rényi.
- Information_dimension wikiPageWikiLink Category:Information_theory.
- Information_dimension wikiPageWikiLink Differential_entropy.
- Information_dimension wikiPageWikiLink Dimension.
- Information_dimension wikiPageWikiLink Entropy_(information_theory).
- Information_dimension wikiPageWikiLink Euclidean_space.
- Information_dimension wikiPageWikiLink IEEE_Transactions_on_Information_Theory.
- Information_dimension wikiPageWikiLink Information_theory.
- Information_dimension wikiPageWikiLink Lebesgues_decomposition_theorem.
- Information_dimension wikiPageWikiLink Normal_distribution.
- Information_dimension wikiPageWikiLink Probability_distribution.
- Information_dimension wikiPageWikiLink Probability_measure.
- Information_dimension wikiPageWikiLink Rectified_Gaussian_distribution.
- Information_dimension wikiPageWikiLink Rectifier.
- Information_dimension wikiPageWikiLink File:A_simple_continuous_function_which_are_used_to_be_quantized.png.
- Information_dimension wikiPageWikiLink File:A_standard_Gaussian_distribution_for_illustration_a_example.png.
- Information_dimension wikiPageWikiLink File:F(x)_which_has_already_been_quantized_to_several_dirac_function.png.
- Information_dimension wikiPageWikiLink File:Rectified_gaussian_distribution.png.
- Information_dimension wikiPageWikiLinkText "Information dimension".
- Information_dimension wikiPageWikiLinkText "information dimension".
- Information_dimension wikiPageUsesTemplate Template:Cite_book.
- Information_dimension wikiPageUsesTemplate Template:Cite_journal.
- Information_dimension wikiPageUsesTemplate Template:Reflist.
- Information_dimension wikiPageUsesTemplate Template:Underlinked.
- Information_dimension subject Category:Information_theory.
- Information_dimension hypernym Measure.
- Information_dimension type Software.
- Information_dimension comment "In information theory, information dimension is an information measure for random vectors in Euclidean space, based on the normalized entropy of finely quantized versions of the random vectors. This concept was first introduced by Alfréd Rényi in 1959.Simply speaking, it is a measure of the dimension of a probability distribution.".
- Information_dimension label "Information dimension".
- Information_dimension sameAs m.01p_sc.
- Information_dimension wasDerivedFrom Information_dimension?oldid=704225334.
- Information_dimension isPrimaryTopicOf Information_dimension.