| 引用本文: | 贾润达,毛志忠,常玉清,周俊武.基于投影寻踪的非线性鲁棒偏最小二乘法及应用[J].控制理论与应用,2010,27(3):391~394.[点击复制] |
| JIA Run-da,MAO Zhi-zhong,CHANG Yu-qing,ZHOU Jun-wu.Nonlinear robust partial least squares based on projection pursuit and its application[J].Control Theory and Technology,2010,27(3):391~394.[点击复制] |
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| 基于投影寻踪的非线性鲁棒偏最小二乘法及应用 |
| Nonlinear robust partial least squares based on projection pursuit and its application |
| 摘要点击 2999 全文点击 1754 投稿时间：2008-09-17 修订日期：2009-04-11 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.3.CCTA081001 |
| 2010,27(3):391-394 |
| 中文关键词 径向基函数 投影寻踪 偏最小二乘法 鲁棒性 非线性 |
| 英文关键词 radial basis function projection pursuit partial least squares robustness nonlinear |
| 基金项目 国家“863”高技术研究发展计划资助项目(2006AA060201). |
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| 中文摘要 |
| 来自工业现场的数据往往具有非线性特性且包含离群点, 利用非线性偏最小二乘(partial least squares, PLS)建模易受离群点的影响. 针对这一问题, 结合径向基函数(radial basis function, RBF)网络, 本文提出了一种基于投影寻踪的非线性鲁棒PLS方法. 该方法首先利用RBF变换将自变量与因变间的非线性关系转化为线性关系; 然后利用投影寻踪算法提取变换后自变量的鲁棒偏最小二乘法成分; 最后建立鲁棒PLS成分与因变量之间的鲁棒线性回归模型. 将该方法应用于湿法冶金萃余液pH值软测量建模问题, 结果验证了其有效性. |
| 英文摘要 |
| Data from industrial field usually possess nonlinear feature and contain outliers；modeling with nonlinear partial least squares(PLS) method may suffer from these outliers. For this case, combining with radial basis function(RBF) networks, we present a nonlinear robust PLS method based on the projection pursuit. First, the nonlinear relationship between independent and dependent variables is changed into a linear one by RBF transformation. Then, projection pursuit algorithm is employed to extract the robust PLS components of transformed independent variables. Finally a robust linear regression model is established between robust PLS components and the dependent variable. Applying the method to the soft-sensor modeling for pH value of raffinate solution in hydrometallurgy, we validate the effectiveness by the results. |