Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of the least squares shadowing method for computing
  derivative of ergodic averages   For a parameterized hyperbolic system $u_{i+1} = f(u_i,s)$, the derivative of
an ergodic average $\ < J\ > = \underset{n\rightarrow\infty}{\lim} \frac1n
\sum_1^n J(u_i,s)$ to the parameter $s$ can be computed via the least squares
sensitivity method. This method solves a constrained least squares problem and
computes an approximation to the desired derivative $d\ < J\ > \over ds$ from
the solution. This paper proves that as the size of the least squares problem
approaches infinity, the computed approximation converges to the true
derivative.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org