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计算机工程 ›› 2008, Vol. 34 ›› Issue (3): 1-2,5. doi: 10.3969/j.issn.1000-3428.2008.03.001

• 博士论文 •    下一篇

基于相关向量回归的非线性时间序列预测方法

刘 芳1,周建中1,邱方鹏2,刘 力1   

  1. (1. 华中科技大学水电与数字化工程学院,武汉 430074;2. 华中科技大学管理学院,武汉 430074)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-02-05 发布日期:2008-02-05

Nonlinear Time Series Forecasting Based on Relevance Vector Regression

LIU Fang1, ZHOU Jian-zhong1, QIU Fang-peng2, LIU Li1   

  1. (1. School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074; 2. School of Management, Huazhong University of Science and Technology, Wuhan 430074)
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-02-05 Published:2008-02-05

摘要: 针对非线性时间序列预测建模的复杂性和不确定性,提出一种基于相关向量回归的非线性时间序列预测方法。该方法在传统的核函数基础上,融入Bayesian推理框架,得到具有概率特性的预报结果,无须对误差/边界参数进行预估计,具有学习算法简单、易实现的特点。仿真计算表明,该方法能反映非线性时间序列的内在特性,预测结果较好。

关键词: 稀疏Bayesian, 相关向量回归, 非线性时间序列, 径流预报

Abstract: A forecasting method for nonlinear time series based on Relevance Vector Machine(RVM) is proposed for the purpose of dealing with the complexity and uncertainty during engineering modeling. Based on the traditional kernel functions, RVM using a sparse kernel representation can directly provide probabilistic forecasting results under Bayesian frame. The method is simple and easy to be realized without pre-calculation of error/margin parameters. Simulation instance shows that the method reflects inherent characteristics of nonlinear time series, exhibits high model efficiency and provides satisfying forecasting precision.

Key words: sparse Bayesian, relevance vector regression, nonlinear time series, streamflow forecast

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