Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Quasi-Geodesics on the Stiefel Manifold   Solving the so-called geodesic endpoint problem, i.e., finding a geodesic
that connects two given points on a manifold, is at the basis of virtually all
data processing operations, including averaging, clustering, interpolation and
optimization. On the Stiefel manifold of orthonormal frames, this problem is
computationally involved. A remedy is to use quasi-geodesics as a replacement
for the Riemannian geodesics. Quasi-geodesics feature constant speed and
covariant acceleration with constant (but possibly non-zero) norm. For a
well-known type of quasi-geodesics, we derive a new representation that is
suited for large-scale computations. Moreover, we introduce a new kind of
quasi-geodesics that turns out to be much closer to the Riemannian geodesics.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin