信息扩散函数在半参数地壳形变分析中的应用  

Application of Information Diffusion Function in Semi-Parametric Crustal Deformation Analysis

作　　者：石雨燕 王靖予 杨鹏 张俊[1] SHI Yuyan;WANG Jingyu;YANG Peng;ZHANG Jun(College of Mining,Guizhou University,515 South-Jiaxiu Road,Guiyang 550025,China)

机构地区：[1]贵州大学矿业学院,贵阳市550025

出　　处：《大地测量与地球动力学》2023年第6期646-650,共5页Journal of Geodesy and Geodynamics

基　　金：贵州省大学生创新创业训练计划(贵大(省)创字[2021]119号);贵州省科技厅科技支撑计划(黔科合支撑[2022]一般204);贵州省科学技术基础研究计划(黔科合基础[2017]1054);贵州大学测绘科学与技术研究生创新实践基地建设项目(贵大研CXJD[2014]002)。

摘　　要：提出一种利用信息扩散函数构建正则矩阵的新方法。首先,仅保留半参数模型的参数化模型部分,利用最小二乘估计获取参数模型的最小二乘残差;然后,将此残差向量作为信号,计算信号的信息扩散函数估值;最后,将信息扩散估计值作为正则矩阵的主对角元素构建正则矩阵。与时间序列法相比,新方法淡化了对信号连续性和光滑性的要求,且信息扩散函数估值本质上是残差的概率分布,相当于事先合理地确定了信号权阵,使得参数估计具有良好的稳健性。中国大陆华北块体的半参数地壳形变分析结果表明,新方法具有明显优势。We propose a new method of using information diffusion function to construct regular matrix.Firstly,only the parametric model part of the semi parametric model is retained,and using the least square estimation we obtain the least square residual of the parametric model.Then,we use the residual vector as a signal to calculate the information diffusion function estimation of the signal.Finally,we use the calculated information diffusion estimation as the main diagonal element of the regular matrix to construct the regular matrix.Compared with the time series method,the new method desalinates the requirements for the continuity and smoothness of the signal,and the information diffusion function estimation essentially obtains the probability distribution of the residual,which is equivalent to reasonably determining the weight matrix of the signal in advance,thus making the parameter estimation robust.The semi-parametric crustal deformation analysis results of the north China block in Chinese mainland show that the new method has obvious advantages.

关 键 词：地壳形变分析 信息扩散函数 半参数模型 正则矩阵 

分 类 号：P315[天文地球—地震学] P227[天文地球—固体地球物理学]