Robust Regression

Joseph L. Awange (), Béla Paláncz (), Robert H. Lewis () and Lajos Völgyesi ()
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Joseph L. Awange: Curtin University, Department of Spatial Sciences, School of Earth and Planetary Sciences
Béla Paláncz: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering
Robert H. Lewis: Fordham University
Lajos Völgyesi: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering

Chapter 14 in Mathematical Geosciences, 2023, pp 517-626 from Springer

Abstract: Abstract The concept of robust regression is explained. Different techniques, such as maximum likelihood employing Gröbner basis, Danish algorithm with Gröbner basis, and PCA are introduced and demonstrated via examples. RANSAC algorithm with Gröbner basis is introduced. Combination of RANSAC with SOM is demonstrated via detecting outliers. Application of parallel computation is also demonstrated.

Date: 2023
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DOI: 10.1007/978-3-030-92495-9_14

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