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Numerical Issues in Maximum Likelihood Parameter Estimation for Gaussian Process Interpolation

2021/01/24 by Subhasish Basak, Sébastien Petit, Julien Bect +2 · 1 voice · 1 citation
Computer Science · Decision Sciences · #Advanced Multi-Objective Optimization Algorithms #Gaussian Processes and Bayesian Inference #Simulation Techniques and Applications

paper · pdf · doi:10.1007/978-3-030-95470-3_9

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.

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