Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Greedy Gauss-Newton algorithm for finding sparse solutions to nonlinear
  underdetermined systems of equations   We consider the problem of finding sparse solutions to a system of
underdetermined nonlinear system of equations. The methods are based on a
Gauss-Newton approach with line search where the search direction is found by
solving a linearized problem using only a subset of the columns in the
Jacobian. The choice of columns in the Jacobian is made through a greedy
approach looking at either maximum descent or an approach corresponding to
orthogonal matching for linear problems. The methods are shown to be convergent
and efficient and outperform the $\ell_1$ approach on the test problems
presented.

17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an