RELATIVE PRINCIPLE COMPONENT AND RELATIVE PRINCIPLE COMPONENT ANALYSIS ALGORITHM  

作　　者：Wen Chenglin Wang Tianzhen Hu Jing 

机构地区：[1]Department of Automation, Hangzhou Dianzi University, Hangzhou 310018, China [2]Department of Electrical Automation, Shanghai Maritime University, Shanghai 200135, China [3]Department of Computer and Information Engineering, Henan University, Kaifeng 475001, China

出　　处：《Journal of Electronics(China)》2007年第1期108-111,共4页电子科学学刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.60434020, No.60374020);International Coop-eration Item of Henan Province (No.0446650006);Henan Province Outstanding Youth Science Fund (No.0312001900).

摘　　要：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),Ro-tundity 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.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.

关 键 词：Relative Principle Component （RPC） Relative Transform （RT） Rotundity Scatter （RS） 

分 类 号：O231[理学—运筹学与控制论]