Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A unified framework for distributed optimization algorithms over
  time-varying directed graphs   In this paper, we propose a framework under which the decentralized
optimization algorithms suggested in \cite{JKJJ,MA, NO,NO2} can be treated in a
unified manner. More precisely, we show that the distributed subgradient
descent algorithms \cite{JKJJ, NO}, the subgradient-push algorithm \cite{NO2},
and the distributed algorithm with row-stochastic matrix \cite{MA} can be
derived by making suitable choices of consensus matrices, step-size and
subgradient from the decentralized subgradient descent proposed in \cite{NO}.
As a result of such unified understanding, we provide a convergence proof that
covers the algorithms in \cite{JKJJ,MA, NO,NO2} under a novel algebraic
condition that is strictly weaker than the conventional graph-theoretic
condition in \cite{NO}. This unification also enables us to derive a new
distributed optimization scheme.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an