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Universal Estimation of Information Measures for Analog Sources



Author(s): Qing Wang;Sanjeev R. Kulkarni;Sergio Verdú

Source:
    Journal:Foundations and Trends® in Communications and Information Theory
    ISSN Print:1567-2190,  ISSN Online:1567-2328
    Publisher:Now Publishers
    Volume 5 Number 3,
Pages: 89 (265-353)
DOI: 10.1561/0100000021

Abstract:

This monograph presents an overview of universal estimation of information measures for continuous-alphabet sources. Special attention is given to the estimation of mutual information and divergence based on independent and identically distributed (i.i.d.) data. Plug-in methods, partitioning-based algorithms, nearest-neighbor algorithms as well as other approaches are reviewed, with particular focus on consistency, speed of convergence and experimental performance.