Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (1): 121-128 .doi: https://doi.org/10.1007/s10483-009-0113-x

• Articles • Previous Articles    

An iterative modified kernel based on training data

Zhi-xiang ZHOU1;Feng-qing HAN2   

  1. 1. College of Civil Engineering and Architecture,Chongqing Jiaotong University,Chongqing 400074, P. R. China; 2. School of Science, Chongqing Jiaotong University,Chongqing 400074, P. R. China
  • Received:2008-07-18 Revised:2008-11-11 Online:2009-01-01 Published:2009-01-01
  • Contact: Zhi-xiang ZHOU

Abstract: To improve performance of a support vector regression, a new method for a modified kernel function is proposed. In this method, information of all samples is included in the kernel function with conformal mapping. Thus the kernel function is data-dependent. With a random initial parameter, the kernel function is modified repeatedly until a satisfactory result is achieved. Compared with the conventional model, the improved approach does not need to select parameters of the kernel function. Simulation is carried out for the one-dimension continuous function and a case of strong earthquakes. The results show that the improved approach has better learning ability and forecasting precision than the traditional model. With the increase of the iteration number, the figure of merit decreases and converges. The speed of convergence depends on the parameters used in the algorithm.

2010 MSC Number: 

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