Information Theoretic Learning
Renyi's Entropy and Kernel Perspectives
Authors: Principe, Jose C.
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- About this book
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This book presents the first cohesive treatment of Information Theoretic Learning (ITL) algorithms to adapt linear or nonlinear learning machines both in supervised or unsupervised paradigms. ITL is a framework where the conventional concepts of second order statistics (covariance, L2 distances, correlation functions) are substituted by scalars and functions with information theoretic underpinnings, respectively entropy, mutual information and correntropy.
ITL quantifies the stochastic structure of the data beyond second order statistics for improved performance without using full-blown Bayesian approaches that require a much larger computational cost. This is possible because of a non-parametric estimator of Renyi’s quadratic entropy that is only a function of pairwise differences between samples. The book compares the performance of ITL algorithms with the second order counterparts in many engineering and machine learning applications.
Students, practitioners and researchers interested in statistical signal processing, computational intelligence, and machine learning will find in this book the theory to understand the basics, the algorithms to implement applications, and exciting but still unexplored leads that will provide fertile ground for future research.
José C. Principe is Distinguished Professor of Electrical and Biomedical Engineering, and BellSouth Professor at the University of Florida, and the Founder and Director of the Computational NeuroEngineering Laboratory. He is an IEEE and AIMBE Fellow, Past President of the International Neural Network Society, Past Editor-in-Chief of the IEEE Trans. on Biomedical Engineering and the Founder Editor-in-Chief of the IEEE Reviews on Biomedical Engineering. He has written an interactive electronic book on Neural Networks, a book on Brain Machine Interface Engineering and more recently a book on Kernel Adaptive Filtering, and was awarded the 2011 IEEE Neural Network Pioneer Award.
- About the authors
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José C. Principe is Distinguished Professor of Electrical and Biomedical Engineering, and BellSouth Professor at the University of Florida, and the Founder and Director of the Computational NeuroEngineering Laboratory. He is an IEEE and AIMBE Fellow, Past President of the International Neural Network Society, Past Editor-in-Chief of the IEEE Trans. on Biomedical Engineering and the Founder Editor-in-Chief of the IEEE Reviews on Biomedical Engineering. He has written an interactive electronic book on Neural Networks, a book on Brain Machine Interface Engineering and more recently a book on Kernel Adaptive Filtering, and was awarded the 2011 IEEE Neural Network Pioneer Award.
- Reviews
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From the book reviews:
“The book is remarkable in various ways in the information it presents on the concept and use of entropy functions and their applications in signal processing and solution of statistical problems such as M-estimation, classification, and clustering. Students of engineering and statistics will greatly benefit by reading it.” (C. R. Rao, Technometrics, Vol. 55 (1), February, 2013)
- Table of contents (11 chapters)
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Information Theory, Machine Learning, and Reproducing Kernel Hilbert Spaces
Pages 1-45
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Renyi’s Entropy, Divergence and Their Nonparametric Estimators
Pages 47-102
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Adaptive Information Filtering with Error Entropy and Error Correntropy Criteria
Pages 103-140
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Algorithms for Entropy and Correntropy Adaptation with Applications to Linear Systems
Pages 141-179
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Nonlinear Adaptive Filtering with MEE, MCC, and Applications
Pages 181-218
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Information Theoretic Learning
- Book Subtitle
- Renyi's Entropy and Kernel Perspectives
- Authors
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- Jose C. Principe
- Series Title
- Information Science and Statistics
- Copyright
- 2010
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer-Verlag New York
- eBook ISBN
- 978-1-4419-1570-2
- DOI
- 10.1007/978-1-4419-1570-2
- Hardcover ISBN
- 978-1-4419-1569-6
- Softcover ISBN
- 978-1-4614-2585-4
- Series ISSN
- 1613-9011
- Edition Number
- 1
- Number of Pages
- XIV, 448
- Topics
