ar X iv : m at h - ph / 0 30 40 10 v 1 5 A pr 2 00 3 Correlation Analysis With Scale - local Entropy Measures
نویسندگان
چکیده
A novel method for correlation analysis using scale-dependent Rényi 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.
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