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math.AP2025
PFEM-GP-dPHS : a finite element framework for combining Gaussian processes and infinite-dimensional port-Hamiltonian systems
Florian Courteville, Iain Henderson, Denis Matignon +1
In order to learn distributed port-Hamiltonian systems (dPHS) using Gaussian processes (GPs), the partitioned finite element method (PFEM) is combined with the Gp-dPHS method. By f…
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…