| 基于三次B样条函数的非线性PLSR分析及其在泉流量预测中的应用 |
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| 引用本文： | 董贵明,田娟,隋旺华,孙强. 基于三次B样条函数的非线性PLSR分析及其在泉流量预测中的应用[J]. 吉林大学学报(地球科学版), 2011, 0(Z1): 279-284 |
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| 作者姓名： | 董贵明 田娟 隋旺华 孙强 |
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| 作者单位： | 中国矿业大学资源与地球科学学院;徐州师范大学城市与环境学院; |
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| 基金项目： | 国家“973”计划项目(2006CB403204); 中国矿业大学青年科研基金资助项目(2009A031);中国矿业大学人才引进资助项目; 徐州师范大学人才引进资助项目 |
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| 摘 要： | 地下水系统内部及其外界环境中的各种要素之间往往存在复杂的多重共线性和非线性,这是在建立统计模型时遇到的2个主要难点。介绍了基于三次B样条函数的非线性偏最小二乘建模方法和进行非线性结构分析的原理,分析了存在变量相关性的条件下该原理的适用性,并将其应用于黑龙洞泉流量的预测分析中。应用结果表明:模型拟合阶段平均误差7.6%,检验阶段平均误差11.2%,该方法能有效地处理建模过程中的多重共线性和非线性问题,并可进行非线性结构分析。
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| 关 键 词： | 样条 偏最小二乘回归 泉流量预测 非线性系统 结构分析 |
Analysis of Nonlinear Partial Least-Squares Regression Based on Cubic B-Spline Function and It's Application to Spring Flow Forecast |
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| DONG Gui-ming,TIAN Juan,SUI Wang-hua,SUN Qiang .School of Resource , Earth Science,China University of Mining , Technology,Xuzhou ,Jiangsu,China .City , Environment College,Xuzhou Normal University,China. Analysis of Nonlinear Partial Least-Squares Regression Based on Cubic B-Spline Function and It's Application to Spring Flow Forecast[J]. Journal of Jilin Unviersity:Earth Science Edition, 2011, 0(Z1): 279-284 |
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| Authors: | DONG Gui-ming TIAN Juan SUI Wang-hua SUN Qiang .School of Resource Earth Science China University of Mining Technology Xuzhou Jiangsu China .City Environment College Xuzhou Normal University China |
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| Affiliation: | DONG Gui-ming1,TIAN Juan2,SUI Wang-hua1,SUN Qiang1 1.School of Resource and Earth Science,China University of Mining and Technology,Xuzhou 221116,Jiangsu,China 2.City and Environment College,Xuzhou Normal University,China |
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| Abstract: | Complex multicollinearity and nonlinear between inner and outer environmental factors of groundwater system are two key difficulties when establishing relevant statistical models.So the model establishing method and principles of nonlinear structure analysis with nonlinear partial least-squares regression(PLSR) based on cubic B-spline function were introduced in this study.Furthermore,the applicability of this method was analyzed when the variables were correlated.Then it was employed to forecast Heilongdon... |
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| Keywords: | splines partial least-squares regression spring flow forecast nonlinear systems structural analysis |
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