104 citations · 295 across the 16 of their papers we have counts for
10 papers · 1 filter
Fast Estimation of the Median Covariation Matrix with Application to Online Robust Principal Components Analysis
Hervé Cardot, Antoine Godichon-Baggioni
The geometric median covariation matrix is a robust multivariate indicator of dispersion which can be extended without any difficulty to functional data. We define estimators, base…
Online estimation of the geometric median in Hilbert spaces : non asymptotic confidence balls
Hervé Cardot, Peggy Cénac, Antoine Godichon
Estimation procedures based on recursive algorithms are interesting and powerful techniques that are able to deal rapidly with (very) large samples of high dimensional data. The co…
Variance estimation and asymptotic confidence bands for the mean estimator of sampled functional data with high entropy unequal probability sampling designs
Hervé Cardot, Camelia Goga, Pauline Lardin
For fixed size sampling designs with high entropy it is well known that the variance of the Horvitz-Thompson estimator can be approximated by the Hájek formula. The interest of thi…
Recursive estimation of the conditional geometric median in Hilbert spaces
Hervé Cardot, Peggy Cénac, Pierre-André Zitt
A recursive estimator of the conditional geometric median in Hilbert spaces is studied. It is based on a stochastic gradient algorithm whose aim is to minimize a weighted L1 criter…
Uniform convergence and asymptotic confidence bands for model-assisted estimators of the mean of sampled functional data
Hervé Cardot, Camelia Goga, Pauline Lardin
When the study variable is functional and storage capacities are limited or transmission costs are high, selecting with survey sampling techniques a small fraction of the observati…
Confidence bands for Horvitz-Thompson estimators using sampled noisy functional data
Hervé Cardot, David Degras, Etienne Josserand
When collections of functional data are too large to be exhaustively observed, survey sampling techniques provide an effective way to estimate global quantities such as the populat…
Efficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm
Hervé Cardot, Peggy Cénac, Pierre-André Zitt
With the progress of measurement apparatus and the development of automatic sensors it is not unusual anymore to get thousands of samples of observations taking values in high dime…
Properties of Design-Based Functional Principal Components Analysis
Hervé Cardot, Mohamed Chaouch, Camelia Goga +1
This work aims at performing Functional Principal Components Analysis (FPCA) with Horvitz-Thompson estimators when the observations are curves collected with survey sampling techni…
Quantile regression when the covariates are functions
Hervé Cardot, Christophe Crambes, Pascal Sarda
This paper deals with a linear model of regression on quantiles when the explanatory variable takes values in some functional space and the response is scalar. We propose a spline…
CLT in Functional Linear Regression Models
Hervé Cardot, André Mas, Pascal Sarda
We propose in this work to derive a CLT in the functional linear regression model to get confidence sets for prediction based on functional linear regression. The main difficulty i…