24 citations · 25 across the 4 of their papers we have counts for
5 papers
Constrained Optimal Smoothing and Bayesian Estimation
X Bay, Laurence Grammont
In this paper, we extend the correspondence between Bayesian estimation and optimal smoothing in a Reproducing Kernel Hilbert Space (RKHS) adding a convexe constraints on the solut…
Karhunen-Loève decomposition of Gaussian measures on Banach spaces
Xavier Bay, Jean-Charles Croix
The study of Gaussian measures on Banach spaces is of active interest both in pure and applied mathematics. In particular, the spectral theorem for self-adjoint compact operators o…
Gaussian process emulators for computer experiments with inequality constraints
Hassan Maatouk, Xavier Bay
Physical phenomena are observed in many fields (sciences and engineering) and are often studied by time-consuming computer codes. These codes are analyzed with statistical models,…
Generalization of the Kimeldorf-Wahba correspondence for constrained interpolation
Xavier Bay, Laurence Grammont, Hassan Maatouk
In this paper, we extend the correspondence between Bayes' estimation and optimal interpolation in a Reproducing Kernel Hilbert Space (RKHS) to the case of linear inequality constr…
An analytic comparison of regularization methods for Gaussian Processes
Hossein Mohammadi, Rodolphe Le Riche, Nicolas Durrande +2
Gaussian Processes (GPs) are a popular approach to predict the output of a parameterized experiment. They have many applications in the field of Computer Experiments, in particular…