[arXiv] BigDataFr recommends: Amplifying Inter-message Distance: On Information Divergence Measures in Big Data

information diversionBigDataFr recommends: Amplifying Inter-message Distance: On Information Divergence Measures in Big Data

[…] Subjects: Information Theory (cs.IT)

Message identification (M-I) divergence is an important measure of the information distance between probability distributions, similar to Kullback-Leibler (K-L) and Renyi divergence. In fact, M-I divergence with a variable parameter can make an effect on characterization of distinction between two distributions. Furthermore, by choosing an appropriate parameter of M-I divergence, it is possible to amplify the information distance between adjacent distributions while maintaining enough gap between two nonadjacent ones. Therefore, M-I divergence can play a vital role in distinguishing distributions more clearly. In this paper, we first define a parametric M-I divergence in the view of information theory and then present its major properties. In addition, we design a M-I divergence estimation algorithm by means of the ensemble estimator of the proposed weight kernel estimators, which can improve the convergence of mean squared error from O(Γ−j/d) to O(Γ−1) (j∈(0,d]). We also discuss the decision with M-I divergence for clustering or classification, and investigate its performance in a statistical sequence model of big data for the outlier detection problem. […]

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By Rui She, Shanyun Liu, Pingyi Fan (Senior Member, IEEE)
Source: arxiv.org

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