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Kernels measure similarity or correlation in tasks such as regression and classification. The Gaussian kernel, other names of which include squared exponential and radial basis function kernel, is one of the most popular in Gaussian process regression. We argue that the Gaussian kernel is best avoided and should never...
The authors' uncertainty tubes rely solely on sampled realizations and can therefore accommodate discontinuities represented by the sampling model and are integrated into a safe Bayesian optimization algorithm with which to safely tune control parameters on a real Furuta pendulum.
Bayesian quadrature is a probabilistic, model-based approach to numerical integration, the estimation of intractable integrals, or expectations. Although Bayesian quadrature was popularized already in the 1980s, no systematic and comprehensive treatment has been published. The purpose of this survey is to fill this gap...
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