Abstract: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.
SHI Yuyan,WANG Jingyu,YANG Peng et al. Application of Information Diffusion Function in Semi-Parametric Crustal Deformation Analysis[J]. jgg, 2023, 43(6): 646-650.