output
20162019
most citedCurvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime

13 citations

researchers with a paper here
collaborating institutions

3 papers

math.DG2019★ 13 cited

Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime

Xavier Pennec

The asymptotic concentration of the Fr{é}chet mean of IID random variables on a Rieman-nian manifold was established with a central limit theorem by Bhattacharya \& Patrangenaru (B…

math.ST2017

Inconsistency of Template Estimation with the Fr{é}chet mean in Quotient Space

Loïc Devilliers, Xavier Pennec, Stéphanie Allassonnière

We tackle the problem of template estimation when data have been randomly transformed under an isometric group action in the presence of noise. In order to estimate the template, o…

cs.CV2016★ 2 cited

Template shape estimation: correcting an asymptotic bias

Nina Miolane, Susan Holmes, Xavier Pennec

We use tools from geometric statistics to analyze the usual estimation procedure of a template shape. This applies to shapes from landmarks, curves, surfaces, images etc. We demons…