最小二乘支持向量机算法及其应用研究

Mingguang Zhang, Zhan-ming Li, Wen-hui Li
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引用次数: 21

摘要

支持向量机(SVM)是一种基于小样本统计学习理论(SLT)的新型机器学习方法,对于小样本、非线性、高维和局部极小问题具有强大的解决能力。支持向量机在模式识别、故障诊断和函数估计等问题上取得了很大的成功。最小二乘支持向量机(Least squares support vector machines, LS-SVM)是一种包含相等约束而不是不等式约束的支持向量机,它使用最小二乘代价函数。讨论了最小二乘支持向量机(LS-SVM)估计算法,并介绍了该算法在非线性控制系统中的应用。然后提出了基于最小二乘支持向量机(LS-SVM)的MIMO模型识别和软测量建模方法。仿真结果表明,该方法为识别和软测量建模提供了有力的工具,在工业过程中具有广阔的应用前景
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Study on least squares support vector machines algorithm and its application
Support vector machines (SVM) is a novel machine learning method based on small-sample statistical learning theory (SLT), and is powerful for the problem with small sample, nonlinearity, high dimension, and local minima.SVM have been very successful in pattern recognition ,fault diagnoses and function estimation problems. Least squares support vector machines (LS-SVM) is an SVM version which involves equality instead of inequality constraints and works with a least squares cost function. This paper discusses least squares support vector machines (LS-SVM) estimation algorithm and introduces applications of the novel method for the nonlinear control systems. Then identification of MIMO models and soft-sensor modeling based on least squares support vector machines (LS-SVM) is proposed. The simulation results show that the proposed method provides a powerful tool for identification and soft-sensor modeling and has promising application in industrial process applications
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