High-Dimensional Data Dimension Reduction Based on KECA

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Kernel entropy component analysis (KECA) reveals the original data’s structure by kernel matrix. This structure is related to the Renyi entropy of the data. KECA maintains the invariance of the original data’s structure by keeping the data’s Renyi entropy unchanged. This paper described the original data by several components on the purpose of dimension reduction. Then the KECA was applied in celestial spectra reduction and was compared with Principal Component Analysis (PCA) and Kernel Principal Component Analysis (KPCA) by experiments. Experimental results show that the KECA is a good method in high-dimensional data reduction.

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1101-1104

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February 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] LI Xiangru, LU Yu, ZHOU Jianming, WANG Yong-jun, Galaxy/Quasar Classification Based on Nearest Neighbor Method, Spectroscopy and Spectral Analysis, Vol. 31(2011), No. 9, 2582-2585.

Google Scholar

[2] JIANG Bin, PAN Jingchang, GUO Qiang, YI Zhenping, 2-D PCA based Spectra Data Dimension Reduction Method, Modern Electronics Technique, 14: 21-23, (2007).

DOI: 10.1109/icinfa.2008.4607982

Google Scholar

[3] YANG Jinfu, XU Xin, WU Fuchao, ZHAO Yongheng, Studies of Spectra Classification Based on Kernel Covering Algorithm, Spectroscopy and Spectral Analysis, Vo1. 27(2007), No. 3, 602—605.

Google Scholar

[4] Robert Jenssen, Kernel Entropy Component Analysis, Ieee Transactions on Pattern Analysis and Machine Intelligence, Vol. 32. No. 5, (2010).

DOI: 10.1109/tpami.2009.100

Google Scholar

[5] A. Renyi, On Measures of Entropy and Information, Selected Papers of Alfred Renyi, Vol. 2 (1976), 565-580.

Google Scholar

[6] E. Parzen, On the Estimation of a Probability Density Function and the Mode, The Annals of Math Statistics, Vol. 32( 1962), 1065-1076.

DOI: 10.1214/aoms/1177704472

Google Scholar

[7] BIAN Zhaoqi, Pattern Recognition, Tsing Hua University Press, (2000).

Google Scholar