Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Push-SAGA: A decentralized stochastic algorithm with variance reduction
  over directed graphs   In this paper, we propose Push-SAGA, a decentralized stochastic first-order
method for finite-sum minimization over a directed network of nodes. Push-SAGA
combines node-level variance reduction to remove the uncertainty caused by
stochastic gradients, network-level gradient tracking to address the
distributed nature of the data, and push-sum consensus to tackle the challenge
of directed communication links. We show that Push-SAGA achieves linear
convergence to the exact solution for smooth and strongly convex problems and
is thus the first linearly-convergent stochastic algorithm over arbitrary
strongly connected directed graphs. We also characterize the regimes in which
Push-SAGA achieves a linear speed-up compared to its centralized counterpart
and achieves a network-independent convergence rate. We illustrate the behavior
and convergence properties of Push-SAGA with the help of numerical experiments
on strongly convex and non-convex problems.

33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph