Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An adaptive regularization algorithm for unconstrained optimization with
  inexact function and derivatives values   An adaptive regularization algorithm for unconstrained nonconvex optimization
is proposed that is capable of handling inexact objective-function and
derivative values, and also of providing approximate minimizer of arbitrary
order. In comparison with a similar algorithm proposed in Cartis, Gould, Toint
(2021), its distinguishing feature is that it is based on controlling the
relative error between the model and objective values. A sharp evaluation
complexity complexity bound is derived for the new algorithm.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess