1 citations · 1 across the 5 of their papers we have counts for
6 papers
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…
Adaptive inference with random ellipsoids through Conformal Conditional Linear Expectation
Iain Henderson, Adrien Mazoyer, Fabrice Gamboa
We propose two new conformity scores for conformal prediction, in a general multivariate regression framework. The underlying score functions are based on a covariance analysis of…
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…
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…
Sobolev regularity of Gaussian random fields
Iain Henderson
In this article, we fully characterize the measurable Gaussian processes whose sample paths lie in the Sobolev space of integer order $W^{m,p}(\mathcal{D…
Stochastic Processes Under Linear Differential Constraints : Application to Gaussian Process Regression for the 3 Dimensional Free Space Wave Equation
Iain Henderson, Pascal Noble, Olivier Roustant
Let be a linear differential operator over and a second order stochastic process. In the first part of this a…