• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 20 Issue 5
Oct.  2007
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Article Contents
BAI Yifeng, XIAO Jian, YU long. Block-Wise Kernel Partial Least-Squares Method[J]. Journal of Southwest Jiaotong University, 2007, 20(5): 626-630.
Citation: BAI Yifeng, XIAO Jian, YU long. Block-Wise Kernel Partial Least-Squares Method[J]. Journal of Southwest Jiaotong University, 2007, 20(5): 626-630.

Block-Wise Kernel Partial Least-Squares Method

  • Received Date: 14 Jun 2006
  • Publish Date: 25 Oct 2007
  • A method of block-wise kernel partial least-squares(BKPLS) was proposed to solve the problem of dimensional explosion of kernel matrix in batch-wise kernel partial least-squares(KPLS).In the BKPLS,the batch-wise method in the KPLS is transformed into a block-wise method based on the symmetric character of kernel matrix,so that it relaxes the requirement on computer hardware and decreases calculation time.Simulation result verifies that the BKPLS reduces calculation time effectively,and can implement the identification algorithm for the sample with a great size while KPLS fails.

     

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  • 王惠文.偏最小二乘回归方法及其应用[M].北京:国防工业初版社,1999.[2] BAI Yifeng,XIAO Jian,YU Long.Kernel partial least-squares regression[C]//Proceedings of International Joint Conference on Neural Networks (IJCNN) 2006.Vancouver:IEEE Press,2006:1 231-1 238.[3] TAYLOR J S,CRISTIANINI N.Kernel methods for pattern analysis[M].Cambridge University,2004.[4] ROSIPAL R,TREJO L J,MATTHEWS B.Kernel PLS-SVC for linear and nonlinear classification[C]//Proceedings of ICML.Washington:American Association for Artificial Intelligence Press,2003:640-647.[5] ROSIPAL R,TREJO L J.Kernel partial least squares regression in reproducing kernel Hilbert space[J].Journal of Machine Learning Research,2001,2:97-123.[6] VPANIK V.The nature of statistical learning theory[M].New York:Springer-Verlag,1995.[7] SCHOLKOPF B.Nonlinear component analysis as a kernel eigenvalue problem[J].Neural Computation,1998,10(5):1 299-1 319.[8] QIN S J.Recursive PLS algorithms for adaptive data modeling[J].Computers chem.Engng.,1998,22(4-5):503-514.
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