On regression analysis with Pad\'e approximants
Methodology
2022-08-23 v1 Machine Learning
Abstract
The advantages and difficulties of application of Pad\'e approximants to two-dimensional regression analysis are discussed. New formulation of residuals is suggested in the method of least squares. It leads to a system of linear equations in case of rational functions. The possibility of using Tikhonov regularization technique to avoid overfitting is demonstrated in this approach. To illustrate the efficiency of the suggested method, several practical cases from physics and reliability theory are considered.
Cite
@article{arxiv.2208.09945,
title = {On regression analysis with Pad\'e approximants},
author = {Glib Yevkin and Olexandr Yevkin},
journal= {arXiv preprint arXiv:2208.09945},
year = {2022}
}