Correlation Analysis With Scale-local Entropy Measures

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dc.creatorReid, J. G.
dc.creatorTrainor, T. A.
dc.date2003-04-05
dc.date.accessioned2026-07-07T04:29:57Z
dc.date.available2026-07-07T04:29:57Z
dc.descriptionA novel method for correlation analysis using scale-dependent Renyi entropies is described. The method involves calculating the entropy of a data distribution as an explicit function of the scale of a d-dimensional partition of d-cubes, which is dithered to remove bias. Analytic expressions for dithered scale-local entropy and dimension for a uniform random point set are derived and compared to Monte Carlo results. Simulated nontrivial point-set correlations representing condensation and clustering are similarly analyzed.
dc.description12 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0304010
dc.identifierhttp://arxiv.org/abs/math-ph/0304010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57351
dc.subjectMathematical Physics
dc.titleCorrelation Analysis With Scale-local Entropy Measures
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