Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of an Asynchronous Block-Coordinate Forward-Backward
  Algorithm for Convex Composite Optimization   In this paper, we study the convergence properties of a randomized
block-coordinate descent algorithm for the minimization of a composite convex
objective function, where the block-coordinates are updated asynchronously and
randomly according to an arbitrary probability distribution. We prove that the
iterates generated by the algorithm form a stochastic quasi-Fej\'er sequence
and thus converge almost surely to a minimizer of the objective function.
Moreover, we prove a general sublinear rate of convergence in expectation for
the function values and a linear rate of convergence in expectation under an
error bound condition of Tseng type.

14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom