Numerical issues in maximum likelihood parameter estimation for Gaussian process interpolation
Machine Learning
2022-02-07 v2 Machine Learning
Computation
Abstract
This article investigates the origin of numerical issues in maximum likelihood parameter estimation for Gaussian process (GP) interpolation and investigates simple but effective strategies for improving commonly used open-source software implementations. This work targets a basic problem but a host of studies, particularly in the literature of Bayesian optimization, rely on off-the-shelf GP implementations. For the conclusions of these studies to be reliable and reproducible, robust GP implementations are critical.
Cite
@article{arxiv.2101.09747,
title = {Numerical issues in maximum likelihood parameter estimation for Gaussian process interpolation},
author = {Subhasish Basak and Sébastien Petit and Julien Bect and Emmanuel Vazquez},
journal= {arXiv preprint arXiv:2101.09747},
year = {2022}
}