Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A persistent adjoint method with dynamic time-scaling and an application
  to mass action kinetics   In this article we consider an optimization problem where the objective
function is evaluated at the fixed-point of a contraction mapping parameterized
by a control variable, and optimization takes place over this control variable.
Since the derivative of the fixed-point with respect to the parameter can
usually not be evaluated exactly, one approach is to introduce an adjoint
dynamical system to estimate gradients. Using this estimation procedure, the
optimization algorithm alternates between derivative estimation and an
approximate gradient descent step. We analyze a variant of this approach
involving dynamic time-scaling, where after each parameter update the adjoint
system is iterated until a convergence threshold is passed. We prove that,
under certain conditions, the algorithm can find approximate stationary points
of the objective function. We demonstrate the approach in the settings of an
inverse problem in chemical kinetics, and learning in attractor networks.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci