66 citations · 362 across the 77 of their papers we have counts for
7 papers · 1 filter
Bayesian Regression and Classification Using Gaussian Process Priors Indexed by Probability Density Functions
A. Fradi, Y. Feunteun, C. Samir +3
In this paper, we introduce the notion of Gaussian processes indexed by probability density functions for extending the Matérn family of covariance functions. We use some tools fro…
Gaussian processes with multidimensional distribution inputs via optimal transport and Hilbertian embedding
Francois Bachoc, Alexandra Suvorikova, David Ginsbourger +2
In this work, we investigate Gaussian Processes indexed by multidimensional distributions. While directly constructing radial positive definite kernels based on the Wasserstein dis…
Rates of convergence in conditional covariance matrix with nonparametric entries estimation
Jean-Michel Loubes, Clement Marteau, Maikol Solís
Let and be two random variables. We estimate the conditional covariance matrix $\mathrm{Cov}\left(\mathrm{E}\left[\boldsymbol{X}\vert Y\right]…
Modeling Weather Conditions Consequences on Road Trafficking Behaviors
Guillaume Allain, Fabrice Gamboa, Philippe Goudal +2
We provide a model to understand how adverse weather conditions modify traffic flow dynamic. We first prove that the microscopic Free Flow Speed of the vehicles is changed and then…
Manifold embedding for curve registration
Chloé Dimeglio, Jean-Michel Loubes, Elie Maza
We focus on the problem of finding a good representative of a sample of random curves warped from a common pattern f. We first prove that such a problem can be moved onto a manifol…
Estimation error for blind Gaussian time series prediction
Thibault Espinasse, Fabrice Gamboa, Jean-Michel Loubes
We tackle the issue of the blind prediction of a Gaussian time series. For this, we construct a projection operator build by plugging an empirical covariance estimation into a Schu…
Maximum Entropy Estimation for Survey sampling
Fabrice Gamboa, Jean-Michel Loubes, Paul Rochet
Calibration methods have been widely studied in survey sampling over the last decades. Viewing calibration as an inverse problem, we extend the calibration technique by using a max…