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《Opto-Electronic Engineering》 2010-07
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Classifier Design Method Based on Conformal Geometric Algebra and Quadratic Programming

LI Mao-kuan,GUAN Jian (Naval Aeronautical and Astronautical University,Yantai 264001,Shangdong Province,China)  
A classifier design method based on conformal geometric algebra and quadratic programming is proposed.From a new point of view,the probability and simplicity of using the conformal geometric algebra to design optimal separation hyersphere is discussed.A geometrical representation of separating hypersphere is firstly introduced based on conformal geometric algebra,by which the two-class optimal separation hyersphere separation problem may be transformed into the training problem based on quadratic programming.According to this,the design and training of multi-class classifier are analyzed.The algorithm not only keeps the advantages of maximizing the margin,generalizing the optimal separating hyperplane to optimal separating hypersphere,but also simplifies computational complexity.Simulation results show that the algorithm is compact and explicit,and the integrations of algorithm have an important significance in the improvement of efficiency.
【Fund】: 教育部新世纪优秀人才支持计划(NCET-05-0912);; 国家自然科学基金(60672140 60802088);; “泰山学者”建设工程专项经费资助项目
【CateGory Index】: TP391.41
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【Citations】
Chinese Journal Full-text Database 6 Hits
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【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 LI Mao-kuan,GUAN Jian ( Naval Aeronautical and Astronautical University, Yantai 264001, Shangdong Province, China );Circle Detection Algorithm Based on Conformal Geometric Algebra and Radon Transform[J];Opto-Electronic Engineering;2010-04
2 LIU Shuang1,CHEN Peng2 1.College of Computer Science & Engineering,Dalian Nationalities University,Dalian,Liaoning 116600,China 2.Department of Computer Science & Technology,Neusoft Institute of Information,Dalian,Liaoning 116023,China;Improved hyper-sphere Support Vector Machine[J];Computer Engineering and Applications;2009-16
3 Li Hongbo(Key Laboratory of Mathematics Mechanization AMSS,Chinese Academy of Sciences,Beijing 100080);Conformal Geometric Algebra for Motion and Shape Description[J];Journal of Computer-Aided Design & Computer Graphics;2006-07
4 Li Hongbo (Key Laboratory of Mathematics Mechanization AMSS,Chinese Academy of Sciences,Beijing 100080);Conformal Geometric Algebra and Algebraic Manipulations of Geometric Invariants[J];Journal of Computer-Aided Design & Computer Graphics;2006-07
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【Secondary Citations】
Chinese Journal Full-text Database 8 Hits
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