Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Trust Region Method for Finding Second-Order Stationarity in Linearly
  Constrained Non-Convex Optimization   Motivated by TRACE algorithm [Curtis et al. 2017], we propose a trust region
algorithm for finding second order stationary points of a linearly constrained
non-convex optimization problem. We show the convergence of the proposed
algorithm to (\epsilon_g, \epsilon_H)-second order stationary points in
\widetilde{\mathcal{O}}(\max{\epsilon_g^{-3/2}, \epsilon_H^{-3}}) iterations.
This iteration complexity is achieved for general linearly constrained
optimization without cubic regularization of the objective function.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas