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Classification Using the Zipfian Kernel

Classification Using the Zipfian Kernel We propose to use the Zipfian distribution as a kernel for the design of a nonparametric classifier in contrast to the Gaussian distribution used in most kernel methods. We show that the Zipfian distribution takes into account multifractal nature of data and gives a true picture of scaling properties inherent in data. We also show that this new look at data structure can lead to a simple classifier that can, for some tasks, outperform more complex systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Classification Springer Journals

Classification Using the Zipfian Kernel

Journal of Classification , Volume 32 (2) – Apr 12, 2015

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References (24)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Classification Society of North America
Subject
Statistics; Statistical Theory and Methods; Pattern Recognition; Bioinformatics; Signal, Image and Speech Processing; Psychometrics; Marketing
ISSN
0176-4268
eISSN
1432-1343
DOI
10.1007/s00357-015-9174-2
Publisher site
See Article on Publisher Site

Abstract

We propose to use the Zipfian distribution as a kernel for the design of a nonparametric classifier in contrast to the Gaussian distribution used in most kernel methods. We show that the Zipfian distribution takes into account multifractal nature of data and gives a true picture of scaling properties inherent in data. We also show that this new look at data structure can lead to a simple classifier that can, for some tasks, outperform more complex systems.

Journal

Journal of ClassificationSpringer Journals

Published: Apr 12, 2015

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