Entropic Approach to Multiscale Clustering Analysis

Entropy

Manlio De Domenico¹ 

[1] School of Computer Science, University of Birmingham, Edgbaston B15 2TT Birmingham, UK

关键词: Kullback–Leibler divergence;    multiscale clustering;    ultra-high energy cosmic rays;    extreme value theory;   

DOI  :  10.3390/e14050865

来源: mdpi

【 摘 要 】

Recently, a novel method has been introduced to estimate the statistical significance of clustering in the direction distribution of objects. The method involves a multiscale procedure, based on the Kullback–Leibler divergence and the Gumbel statistics of extreme values, providing high discrimination power, even in presence of strong background isotropic contamination. It is shown that the method is: (i) semi-analytical, drastically reducing computation time; (ii) very sensitive to small, medium and large scale clustering; (iii) not biased against the null hypothesis. Applications to the physics of ultra-high energy cosmic rays, as a cosmological probe, are presented and discussed.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.