NDLI: Constructing re-substitution entropy estimator with discontinuous kernels

Content Provider	IEEE Xplore Digital Library
Author	Min Zhang Liyuan Xu Su-Juan Wang Yu-Lin He
Copyright Year	2013
Description	Author affiliation: Dept. of Electron. Bus., Shijiazhuang Inf. Eng. Vocational Coll., Shijiazhuang, China (Su-Juan Wang) \|\| Dept. of Inf. Eng., Cangzhou Vocational Coll. of Technol., Cangzhou, China (Min Zhang; Liyuan Xu) \|\| Coll. of Math. & Comput. Sci., Hebei Univ., Baoding, China (Yu-Lin He)
Abstract	Gaussian kernel is a continous kernel which is always used in the re-substitution entropy estimator (RSEE) to estimate the underlying entropy for the continuous random variable. Meanwhile, there are also some other discontinuous kernels that can be used to conduct the probability density function estimation and kernel regression analysis. The theoretical study indicates that some of these discontinuous kernels can obtain higher estimation efficiencies than Gaussian kernel. Thus, in this paper, we introduce six discontinuous kernels, i.e. Uniform, Triangular, Epanechnikov, Biweight, Triweight and Cosine, to establish the RESS. Firstly, we analyses mathematical properties of employed discontinuous kernels. Then, RESSs based discontinuous kernels are designed. Finally, extensive experiments are carried out to compare discontinuous kernels based RESSs with the Gaussian kernel based RESS in terms of estimation accuracy and stability. Experimental results show that discontinuous kernels can obtain better performances than Gaussian kernel.
Starting Page	128
Ending Page	135
File Size	1616117
Page Count	8
File Format	PDF
ISBN	9781479904150
ISSN	21585695
e-ISBN	9781479904174
DOI	10.1109/ICWAPR.2013.6599304
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-07-14
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Density estimation re-substitution entropy estimator Abstracts Iron discontinuous kernel gaussian kernel Kernel
Content Type	Text
Resource Type	Article

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