Clustered Gaussian process model with an application to solar irradiance emulation

Chih‐Li Sung, Benjamin Adam Haaland, Youngdeok Hwang, Siyuan Lu · arXiv (Cornell University) · 2019

A Gaussian process has been one of the important approaches for emulating computer simulations. However, the stationarity assumption for a Gaussian process and the intractability for large-scale dataset limit its availability in practice. In this article, we propose a clustered Gaussian process model which segments the input data into multiple clusters, in each of which a Gaussian process is performed. The stochastic expectation-maximization is employed to efficiently fit the model. In our simulations as well as a real application to solar irradiance emulation, our proposed method had smaller mean square error than its main competitors, with competitive computation time, and provides valuable insights from data by discovering the clusters.

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