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The Cook Projection Index Estimation Using the Wavelet Kernel Function

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Advances in Neural Networks – ISNN 2004 (ISNN 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3173))

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Abstract

The key procedure of exploratory projection pursuit is to optimize a criterion function, which is called the projection pursuit index. The cook family index estimated by the wavelet kernel function is given in this paper. And the asymptotic unbiasedness and the convergence property of the projection index are proved. Also, as the fast computing of this kind projection index, it is suited for the processing of a large data. Some results of projection index based on the wavelet kernel estimation are compared with that of the Gauss kernel estimation.

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References

  1. Hall, P.: On Polynomial-based Projection Indices for Exploratory Projection Pursuit. Ann. Statistics 17, 589–605 (1989)

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, China

    Wei Lin, Tian Zheng & Fan He

  2. Department of Computer Science & Technology, Northwestern Polytechnical University, Xi’an, 710072, China

    Wei Lin, Tian Zheng & Xian-bin Wen

  3. Key Laboratory of Education Ministry for Image Processing and Intelligent Control, Huazhong University of Science & Technology, Wuhan, 430074, China

    Tian Zheng

Authors
  1. Wei Lin
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  2. Tian Zheng
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  3. Fan He
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  4. Xian-bin Wen
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Editor information

Editors and Affiliations

  1. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, China

    Fu-Liang Yin

  2. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  3. School of Electronic and Information Engineering, Dalian University of Technology, 116023, Dalian, Liaoning, China

    Chengan Guo

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© 2004 Springer-Verlag Berlin Heidelberg

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Lin, W., Zheng, T., He, F., Wen, Xb. (2004). The Cook Projection Index Estimation Using the Wavelet Kernel Function. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_135

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  • DOI: https://doi.org/10.1007/978-3-540-28647-9_135

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22841-7

  • Online ISBN: 978-3-540-28647-9

  • eBook Packages: Springer Book Archive

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