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math.AP2023★ 1 cited
Covariance models and Gaussian process regression for the wave equation. Application to related inverse problems
Iain Henderson, Pascal Noble, Olivier Roustant
In this article, we consider the general task of performing Gaussian process regression (GPR) on pointwise observations of solutions of the 3 dimensional homogeneous free space wav…
math.AP2023
Characterization of the second order random fields subject to linear distributional PDE constraints
Iain Henderson, Pascal Noble, Olivier Roustant
Let be a linear differential operator acting on functions defined over an open set . In this article, we characterize the measurable second ord…