5 papers
Stochastic generator of trajectories from record data: application to the fluctuations of a glacier's frontal position from a sample of moraines
Megret Maud, Mike Pereira, Nicolas Eckert +2
The record values theory study elements of a time series that exceed all previous observations, which are of particular interest in fields such as sports or climate science. In thi…
Prediction of spatio-temporal data on meshed surfaces using advection-diffusion SPDEs
Mike Pereira, Lucia Clarotto, Nicolas Desassis
The aim of this work is to propose a statistical model for spatio-temporal data on meshed surfaces based on the Stochastic Partial Differential Equation (SPDE) modeling approach. S…
Spline Interpolation on Compact Riemannian Manifolds
Charlie Sire, Mike Pereira, Thomas Romary
Spline interpolation is a widely used class of methods for solving interpolation problems by constructing smooth interpolants that minimize a regularized energy functional involvin…
Uncertainty Quantification of Spline Predictors on Compact Riemannian Manifolds
Charlie Sire, Mike Pereira
To predict smooth physical phenomena from observations, spline interpolation provides an interpretable framework by minimizing an energy functional associated with the Laplacian op…
Predictive posterior sampling from non-stationnary Gaussian process priors via Diffusion models with application to climate data
Gabriel V Cardoso, Mike Pereira
Bayesian models based on Gaussian processes (GPs) offer a flexible framework to predict spatially distributed variables with uncertainty. But the use of nonstationary priors, often…