Regularization to orthogonal-polynomials fitting with application to magnetization data

2016/03/11 by Xu Bao, Xu, Bao
Mathematics · #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.1603.03532

openalex publication_date 2016/03/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

An obstacle encountered in applying orthogonal-polynomials fitting is how to select out the proper fitting expression. By adding a Laplace term to the error expression and introducing the concept of overfitting degree, a regularization and corresponding cross validation scheme is proposed for two-variable polynomials fitting. While the Fortran implementation of above scheme is applied to magnetization data, a satisfactory fitting precision is reached, and overfitting problem can be quantitatively assessed, which therefore offers the quite reliable base for future comprehensive investigations of magnetocaloric and phase-transition properties of magnetic functional materials.

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