Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparing different subgradient methods for solving convex optimization
  problems with functional constraints   We provide a dual subgradient method and a primal-dual subgradient method for
standard convex optimization problems with complexity
$\mathcal{O}(\varepsilon^{-2})$ and $\mathcal{O}(\varepsilon^{-2r})$, for all
$r> 1$, respectively. They are based on recent Metel-Takeda's work in
[arXiv:2009.12769, 2020, pp. 1-12] and Boyd's method in [Lecture notes of
EE364b, Stanford University, Spring 2013-14, pp. 1-39]. The efficiency of our
methods is numerically illustrated in a comparison to the others.

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The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc