| 基于多元整体最小二乘优化的多点灰色动态变形分析模型 |
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| 引用本文： | 吴开岩,张献州,马龙,罗烈,张拯,喻巧.基于多元整体最小二乘优化的多点灰色动态变形分析模型[J].大地测量与地球动力学,2016,36(8):682-685. |
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| 作者姓名： | 吴开岩 张献州 马龙 罗烈 张拯 喻巧 |
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| 摘 要： | 提出一种多元整体最小二乘优化的多点灰色动态模型,并结合实例验证优化的MGM(1,n)模型的优越性。将优化的MGM(1,n)模型与一般的MGM(1,n)模型进行对比,分析两种模型的建模值和预测值。结果表明，优化的MGM(1,n)模型在建模数据多于4期的情况下建模精度更高，预测精度更准确,更符合实际情况。
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| 关 键 词： | 多元整体最小二乘法 多点动态灰色模型 变形分析 灰色预测 |
A Multivariable Grey Deformation Analysis Model Based on Multivariate Total Least-Squares Optimization |
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| WU Kaiyan,ZHANG Xianzhou,MA Long,LUO Lie,ZHANG Zheng,YU Qiao.A Multivariable Grey Deformation Analysis Model Based on Multivariate Total Least-Squares Optimization[J].Journal of Geodesy and Geodynamics,2016,36(8):682-685. |
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| Authors: | WU Kaiyan ZHANG Xianzhou MA Long LUO Lie ZHANG Zheng YU Qiao |
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| Abstract: | In the process of deformation analysis, it is more reasonable and reliable that multiple monitoring points are applied to modeling and analyzing of grey system in the same deformation monitoring network compared with single monitoring point. But the traditional multivariable grey model (MGM(1,n)) has some short comings. This paper proposes a multivariable grey model based on multivariate total least-squares optimization. And the superiority of this model is proved by some examples. Simultaneously, comparing this model with the traditional MGM(1,n) and analyzing the modeling value and predictive value of these two models. The results show that the modeling and prediction accuracy of this model are higher than MGM(1,n) and this model is more suitable for the actual circumstances when the number of data modeling is over four. This model can be referred to the analysis and forecast of deformation monitoring data in further research. |
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| Keywords: | multivariate total least-squares multivariable grey model deformation analysis grey prediction |
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