Manifold embedding for curve registration

Jean-Michel Loubes (1) , Elie Maza (1) , Chloé Dimeglio (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

We focus on the problem of finding a good representative of a sample of random curves warped from a common pattern $f$. We first prove that such an problem can be moved onto a manifold framework. Then, we propose an estimation of the common pattern $f$ based on an approximated geodesic distance on a suitable manifold. We then compare the proposed method to more classical methods.

Mots clés: curve registration; classification; Frechet mean; warping.; warping

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Jean-Michel Loubes, Elie Maza, Chloé Dimeglio. Manifold embedding for curve registration. 2011. ⟨hal-00593180v1⟩