Classification Using the Zipfian Kernel

0420984 - ÚI 2016 RIV US eng J - Journal Article
Jiřina, Marcel - Jiřina jr., M.
Classification Using the Zipfian Kernel.
Journal of Classification. Roč. 32, č. 2 (2015), s. 305-326. ISSN 0176-4268. E-ISSN 1432-1343
R&D Projects: GA TA ČR TA01010490
Institutional support: RVO:67985807
Keywords : kernel machine * Zipfian kernel * multivariate data * correlation dimension * harmonic series * classification
Subject RIV: JC - Computer Hardware ; Software
Impact factor: 1.147, year: 2015

We propose to use the Zipfian distribution as a kernel for design of a nonparametric classifier in contrast to the Gaussian distribution used in most of 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.
Permanent Link: http://hdl.handle.net/11104/0227432