A Generalized Gaussian Process Model for Computer Experiments With Binary Time Series

Author: Chih-Li Sung, Ying Hung, William Rittase, Cheng Zhu, C. F. Jeff Wu

Date: 5/28/2019

Journal:Journal of the American Statistical Association

DOI: 10.1080/01621459.2019.1604361

Link: https://www.tandfonline.com/doi/full/10.1080/01621459.2019.1604361

Abstract

Non-Gaussian observations such as binary responses are common in some computer experiments. Motivated by the analysis of a class of cell adhesion experiments, we introduce a generalized Gaussian process model for binary responses, which shares some common features with standard GP models. In addition, the proposed model incorporates a flexible mean function that can capture different types of time series structures. Asymptotic properties of the estimators are derived, and an optimal predictor as well as its predictive distribution are constructed. Their performance is examined via two simulation studies. The methodology is applied to study computer simulations for cell adhesion experiments. The fitted model reveals important biological information in repeated cell bindings, which is not directly observable in lab experiments.