96 citations · 178 across the 27 of their papers we have counts for
3 papers · 1 filter
Principal subbundles for dimension reduction
Morten Akhøj, James Benn, Erlend Grong +2
In this paper we demonstrate how sub-Riemannian geometry can be used for manifold learning and surface reconstruction by combining local linear approximations of a point cloud to o…
Tangent phylogenetic PCA
Morten Akhøj, Xavier Pennec, Stefan Sommer
Phylogenetic PCA (p-PCA) is a version of PCA for observations that are leaf nodes of a phylogenetic tree. P-PCA accounts for the fact that such observations are not independent, du…
Power Euclidean metrics for covariance matrices with application to diffusion tensor imaging
Ian L. Dryden, Xavier Pennec, Jean-Marc Peyrat
Various metrics for comparing diffusion tensors have been recently proposed in the literature. We consider a broad family of metrics which is indexed by a single power parameter. A…