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Relative principle component and relative principle component analysis algorithm

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Journal of Electronics (China)

Abstract

In this letter, the new concept of Relative Principle Component (RPC) and method of RPC Analysis (RPCA) are put forward. Meanwhile, the concepts such as Relative Transform (RT), Rotundity Scatter (RS) and so on are introduced. This new method can overcome some disadvantages of the classical Principle Component Analysis (PCA) when data are rotundity scatter. The RPC selected by RPCA are more representative, and their significance of geometry is more notable, so that the application of the new algorithm will be very extensive. The performance and effectiveness are simply demonstrated by the geometrical interpretation proposed.

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Authors and Affiliations

  1. Department of Automation, Hangzhou Dianzi University, Hangzhou, 310018, China

    Wen Chenglin Ph.D. (male, professor) & Wang Tianzhen

  2. Department of Electrical Automation, Shanghai Maritime University, Shanghai, 200135, China

    Wang Tianzhen

  3. Department of Computer and Information Engineering, Henan University, Kaifeng, 475001, China

    Hu Jing

Authors
  1. Wen Chenglin Ph.D.
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  2. Wang Tianzhen
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  3. Hu Jing
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Corresponding author

Correspondence to Wen Chenglin Ph.D..

Additional information

Supported by the National Natural Science Foundation of China (No.60434020, No.60374020), International Cooperation Item of Henan Province (No.0446650006), and Henan Province Outstanding Youth Science Fund (No.0312001900).

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Wen, C., Wang, T. & Hu, J. Relative principle component and relative principle component analysis algorithm. J. of Electron.(China) 24, 108–111 (2007). https://doi.org/10.1007/s11767-006-0097-2

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  • DOI: https://doi.org/10.1007/s11767-006-0097-2

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