Comparison of Gaussian process modeling software

Abstract

Gaussian process fitting, or kriging, is often used to create a model from a set of data. Many available soft- ware packages do this, but we show that very different results can be obtained from different packages even when using the same data and model. We describe the parameterization, features, and optimiza- tion used by eight different fitting packages that run on four different platforms. We then compare these eight packages using various data functions and data sets, revealing that there are stark differences be- tween the packages. In addition to comparing the prediction accuracy, the predictive variance – which is important for evaluating precision of predictions and is often used in stopping criteria – is also evaluated.