Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds   In many applications, geodesic hierarchical models are adequate for the study
of temporal observations. We employ such a model derived for manifold-valued
data to Kendall's shape space. In particular, instead of the Sasaki metric, we
adapt a functional-based metric, which increases the computational efficiency
and does not require the implementation of the curvature tensor. We propose the
corresponding variational time discretization of geodesics and employ the
approach for longitudinal analysis of 2D rat skulls shapes as well as 3D shapes
derived from an imaging study on osteoarthritis. Particularly, we perform
hypothesis test and estimate the mean trends.

37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga