Lutz, Kolmogorov complexity, complexity cores, and the dis- tribution of hardness, in preparation.D. W. Juedes and J. H. Lutz, Kolmogorov complexity, complexity cores, and the distribution of hardness, In O. Watanabe, editor, Kol- mogorov Complexity: Theory and Relations to Computational ...
was concerned with randomness of a sequence, while Algorithmic Probability became associated with Solomonoff, who focused on prediction using his invention of the universal prior probability distribution. The broader area encompassing descriptional complexity and probability is often calledKolmogorov complexity...
The book presents a thorough treatment of the subject with a wide range of illustrative applications. Such applications include the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and ...
摘要: Then we use this fact to derive complexity theoretic proofs for the base independence of the randomness of real numbers and for some properties of Liouville numbers. 展开 会议名称: Fundamentals of Computation Theory, 12th International Symposium, FCT '99, Iasi, Romania, August 30 - ...
Application of Kolmogorov-Smirnove Test to Concrete Strength Test; 柯尔莫哥洛夫检验在混凝土强度检测中的应用 entropy of a transformation 柯尔莫哥洛夫-希奈不变量 Kolmogorov consistency conditions 柯尔莫哥洛夫相容性条件 Kolmogorov:Euclid in the Complexity Research ...
Mutual Information for Shannon and Kolmogorov: Entropy and Kolmogorovcomplexity are concerned with information in a single object: A random vari-able (Shannon) or an individual sequence (Kolmogorov). Both theories providea(distinct) notion ofmutual information that measures the information that one...
Although information content is invariant up to an additive constant, the range of possible additive constants applicable to programming languages is so large that in practice it plays a major role in the actual evaluation of K(s), the Kolmogorov-Chaitin complexity of a string s. Some attempts ...
kolmogorov复杂性compressionminingcomplexity压缩 Parameter-FreeSpatialDataMiningUsingMDL.S.Papadimitriou,A.Gionis,P.Tsaparas,R.A.Väisänen,H.Mannila,andC.Faloutsos.InternationalConferenceonDataMining2005Problems: Findingpatternsofspatialcorrelationandfeatureco-occurrence. Automatically Thatis,parameter-free. Si...
∗delahaye@lifl.fr†hector.zenil-chavez@malix.univ-paris1.fr1February1,20082:11WorldScientificReviewVolume-9inx6inExperimentalUniversalDistribution2Jean-PaulDelahayeandHectorZenilTheKolmogorov-Chaitincomplexity(oralgorithmiccomplexity)ofastringsisthelengthofitsshortestdescriptionponauniversalTuringmachineU,...
amodifiedempirical-distribution-function(EDF)basedteststatisticsisproposed,insteadofbasedonteststatistichigh-orderCumulantswithhighcomputationalcomplexity.Andalsoasinglecarrier/OFDMsignalrecognitionmodelispresented,theop鄄timalempiricaldistributionevaluationcriteriafunctionestablished,theoptimalempiricaldistributionfunc鄄tion...