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The Accelerated Power Method for Kernel Principal Component Analysis

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Applied Informatics and Communication (ICAIC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 225))

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Abstract

When faced with the large-scale data set, Kernel principal component analysis (KPCA) is infeasible because of the storage and computational problem. To overcome these disadvantages, an accelerated power method of computing kernel principal components is proposed. First, the accelerated Power iteration is introduced to compute the first eigenvalue and corresponding eigenvector. Then the deflation method is repeatedly applied to achieve other higher order eigenvectors. The space and time complexity of the proposed method is greatly reduced. Experimental results confirm the effectiveness of proposed method.

This work is partially supported by NSF of Henan Educational Committee under contract 2010B520005 and Doctor Fund of Henan University of Technology under contract 2009BS013.

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Shi, W., Zhang, W. (2011). The Accelerated Power Method for Kernel Principal Component Analysis. In: Zeng, D. (eds) Applied Informatics and Communication. ICAIC 2011. Communications in Computer and Information Science, vol 225. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23220-6_71

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  • DOI: https://doi.org/10.1007/978-3-642-23220-6_71

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23219-0

  • Online ISBN: 978-3-642-23220-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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