96 citations · 178 across the 27 of their papers we have counts for
Showing 2019 · math.DGShow all
3 papers · 2 filters
math.DG2019
Exploration of Balanced Metrics on Symmetric Positive Definite Matrices
Yann Thanwerdas, Xavier Pennec
Symmetric Positive Definite (SPD) matrices have been used in many fields of medical data analysis. Many Riemannian metrics have been defined on this manifold but the choice of the…
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.DG2019★ 12 cited
Is affine invariance well defined on SPD matrices? A principled continuum of metrics
Yann Thanwerdas, Xavier Pennec
Symmetric Positive Definite (SPD) matrices have been widely used in medical data analysis and a number of different Riemannian met-rics were proposed to compute with them. However,…