Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bootstrapping Globally Optimal Variational Calculus Solutions   Whereas in a coordinate-dependent setting the Euler-Lagrange equations
establish necessary conditions for solving variational problems, uniqueness and
global optimality are generally hard to prove, and often times they may not
even exist. This is also true for variational problems on Lie groups, with the
Euler-Poincar\'{e} equation establishing necessary conditions. This article
therefore reviews several cases where unique globally optimal solutions can be
guaranteed, and establishes a "bootstrapping" process to build new globally
optimal variational solutions on larger spaces from existing ones on smaller
spaces. This general theory is then applied to several topics such as optimal
framing of curves in three-dimensional Euclidean space, optimal motion
interpolation, and optimal reparametrization of video sequences to compare
salient actions.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
3
The categories of this paper are: physics