Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Decentralized Quasi-Newton Method for Dual Formulations of Consensus
  Optimization   This paper considers consensus optimization problems where each node of a
network has access to a different summand of an aggregate cost function. Nodes
try to minimize the aggregate cost function, while they exchange information
only with their neighbors. We modify the dual decomposition method to
incorporate a curvature correction inspired by the
Broyden-Fletcher-Goldfarb-Shanno (BFGS) quasi-Newton method. The resulting dual
D-BFGS method is a fully decentralized algorithm in which nodes approximate
curvature information of themselves and their neighbors through the
satisfaction of a secant condition. Dual D-BFGS is of interest in consensus
optimization problems that are not well conditioned, making first order
decentralized methods ineffective, and in which second order information is not
readily available, making decentralized second order methods infeasible.
Asynchronous implementation is discussed and convergence of D-BFGS is
established formally for both synchronous and asynchronous implementations.
Performance advantages relative to alternative decentralized algorithms are
shown numerically.

5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol