A new scheme to learn a kernel in regularization networks

  • Authors:
  • Jie Chen;Fei Ma;Jian Chen

  • Affiliations:
  • Department of Mathematics, Yibin University, Yibin 644000, PR China;Xinhu Futures Co. Ltd., 36F, InterContinental Bussiness Center, No.100 Yutong Rd, Shanghai 200070, PR China;Department of Mathematics, Foshan University, Foshan 528000, PR China

  • Venue:
  • Neurocomputing
  • Year:
  • 2011

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Abstract

In this paper, we propose a new scheme to learn a kernel function from the convex combination of finite given kernels in regularization networks. We show that the corresponding variational problem is convex and under certain conditions, the variational problem can be approximated by a semidefinite programming problem which coincides with the Micchelli and Pontil's (MP's) Model (Micchelli and Pontil, 2005 [10]).