Predicting Time Series Using Incremental Langrangian Support Vector Regression

  • Authors:
  • Hua Duan;Weizhen Hou;Guoping He;Qingtian Zeng

  • Affiliations:
  • Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P.R. China and College of Information Science and Engineering, Shandong University of Science and, Technology, Qingdao 266 ...;College of Information Science and Engineering, Shandong University of Science and, Technology, Qingdao 266510, China;College of Information Science and Engineering, Shandong University of Science and, Technology, Qingdao 266510, China;College of Information Science and Engineering, Shandong University of Science and, Technology, Qingdao 266510, China

  • Venue:
  • ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
  • Year:
  • 2007

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Abstract

A novel Support Vector Regression(SVR) algorithm has been proposed recently by us. This approach, called Lagrangian Support Vector Regression(LSVR), is an reformulation on the standard linear support vector regression, which leads to the minimization problem of an unconstrained differentiable convex function. During the process of computing, the inversion of matrix after incremented is solved based on the previous results, therefore it is not necessary to relearn the whole training set to reduce the computation process. In this paper, we implemented the LSVR and tested it on Mackey-Glass time series to compare the performances of different algorithms. According to the experiment results, we achieve a high-quality prediction about time series.