A Method for Dealing with the Systematic Errors of Partial EIV Semi-parametric Model

doi:10.11947/j.AGCS.2018.20160613

Abstract

Abstract: The estimated values are affected so that they are not reliable if the observations contain systematic errors under the solution of total least squares.Thus the bad effect on the estimated values should be weakened so the relatively reliable solution can be obtained.This paper adds non parametric part (systematic errors) in the partial errors-in-variables (Partial EIV) model,building Partial EIV semi-parametric model.The penalized least square criterion is introduced to derive formula,and choose the proper regularization matrix in the experiments.The smoothing factor is acquired by the method of L-curve.The results of experiments show that the algorithm of Partial EIV semi-parametric model can mitigate systematic errors to a certain extent and obtain the more reliable solution than the traditional method.So the validity of the algorithm is verified.

Key words: Partial EIV semi-parametric model, systematic errors, regularization matrix, L-curve, smoothing factor

CLC Number:

P207

WANG Leyang, XIONG Luyun. A Method for Dealing with the Systematic Errors of Partial EIV Semi-parametric Model[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(1): 25-34.

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