Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted iteration complexity of the sPADMM on the KKT residuals for
  convex composite optimization   In this paper we establish an $\mathcal{O}({1}/{k})$ weighted iteration
complexity on the KKT residuals yielded by the sPADMM (semi-proximal
alternating direction method of multiplier) for the convex composite
optimization problem. This result, which is derived with the help of a novel
generalized HPE (hybrid proximal extra-gradient) iteration formula, first fills
the gap on the ergodic iteration complexity of the classic ADMM with a large
step-size and its many proximal variants.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas