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- W4309804938 abstract "The paper covers the design and analysis of experiments to discriminate between two Gaussian process models, such as those widely used in computer experiments, kriging, sensor location and machine learning. Two frameworks are considered. First, we study sequential constructions, where successive design (observation) points are selected, either as additional points to an existing design or from the beginning of observation. The selection relies on the maximisation of the difference between the symmetric Kullback Leibler divergences for the two models, which depends on the observations, or on the mean squared error of both models, which does not. Then, we consider static criteria, such as the familiar log-likelihood ratios and the Fr'echet distance between the covariance functions of the two models. Other distance-based criteria, simpler to compute than previous ones, are also introduced, for which, considering the framework of approximate design, a necessary condition for the optimality of a design measure is provided. The paper includes a study of the mathematical links between different criteria and numerical illustrations are provided." @default.
- W4309804938 created "2022-11-29" @default.
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- W4309804938 date "2022-11-21" @default.
- W4309804938 modified "2023-09-23" @default.
- W4309804938 title "Active Discrimination Learning for Gaussian Process Models" @default.
- W4309804938 doi "https://doi.org/10.48550/arxiv.2211.11624" @default.
- W4309804938 hasPublicationYear "2022" @default.
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