Efficient Emulators for Multivariate Deterministic Functions

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Kernels for Vector-Valued Functions: a Review (2011, methodology): “The authors use the time index as an input (akin to [83]) and apply a greedy-like algorithm to select the training points for the Gaussian process.”
Probabilistic uncertainty analysis of an FRF of a structure using a Gaussian process emulator (2011, background): “Separability of the covariance structure leads to various mathematical simplifications, but may be too restrictive for applications such as FE models in which the outputs represent more than one type of physical quantity (Rougier, 2008).”
A Bayesian approach for parameter estimation and prediction using a computationally intensive model (2014, methodology): “There are a number of approaches available for extending the univariate GP model to handle many outputs at once [20, 21]; we use the basis approach of [22] which performs well in this application.”
Predicting Vehicle Crashworthiness: Validation of Computer Models for Functional and Hierarchical Data (2009, methodology): “Similar approaches are taken in Conti and O’Hagan (2007), Rougier (2007), and McFarkand et al. (2008).”