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In order to obtain high accuracy results, the gross errors in observations must be correctly detected and repaired. In this
paper, the theory and methods of singularity detection based on wavelet transform, support vector machine regression
model are introduced. The wavelet multi-resolution analysis (MRA) was carried out and the location of the gross errors
can be detected by ascertaining the points of modulus maximal value of the wavelet coefficients since the gross error can
be regarded as the singular point of the observation time series. Then the time series regression model based on support
vector machine (SVM) was established to repair the gross errors. Practical test results indicate that the gross errors can
be validly detected by wavelet method as well as be correctly repaired by the method based on support vector machine.
Tingye Tao,Fei Gao, andZhaofu Wu
"Gross error detection and correction based on wavelet transform and support vector machine", Proc. SPIE 7492, International Symposium on Spatial Analysis, Spatial-Temporal Data Modeling, and Data Mining, 74921E (14 October 2009); https://doi.org/10.1117/12.838574
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Tingye Tao, Fei Gao, Zhaofu Wu, "Gross error detection and correction based on wavelet transform and support vector machine," Proc. SPIE 7492, International Symposium on Spatial Analysis, Spatial-Temporal Data Modeling, and Data Mining, 74921E (14 October 2009); https://doi.org/10.1117/12.838574