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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2011 · math.STShow all

7 papers · 2 filters

math.ST2011

Distribution's template estimate with Wasserstein metrics

Emmanuel Boissard, Thibaut Le Gouic, Jean-Michel Loubes

In this paper we tackle the problem of comparing distributions of random variables and defining a mean pattern between a sample of random events. Using barycenters of measures in t…

math.ST2011

Efficient estimation of conditional covariance matrices for dimension reduction

Sébastien Da Veiga, Jean-Michel Loubes, Maikol Solís

Let and . In this paper we propose an estimator of the conditional covariance matrix, $\mathrm{Cov}(\mathbb{E}[\boldsymbol{X}\vert…

math.ST2011

Necessary and sufficient condition for the existence of a Fréchet mean on the circle

Benjamin Charlier

Let be the unit circle in endowed with the arclength distance. We give a sufficient and necessary condition for a general probability measure to admit a…

math.ST2011

Intensity estimation of non-homogeneous Poisson processes from shifted trajectories

Jérémie Bigot, Sébastien Gadat, Thierry Klein +1

This paper considers the problem of adaptive estimation of a non-homogeneous intensity function from the observation of n independent Poisson processes having a common intensity th…

math.ST2011

A Threshold Regularization Method for Inverse Problems

Paul Rochet

A number of regularization methods for discrete inverse problems consist in considering weighted versions of the usual least square solution. However, these so-called filter method…

math.ST2011★ 9 cited

Consistency of functional learning methods based on derivatives

Fabrice Rossi, Nathalie Villa-Vialaneix

In some real world applications, such as spectrometry, functional models achieve better predictive performances if they work on the derivatives of order m of their inputs rather th…