Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asynchronous and Distributed Tracking of Time-Varying Fixed Points   This paper develops an algorithmic framework for tracking fixed points of
time-varying contraction mappings. Analytical results for the tracking error
are established for the cases where: (i) the underlying contraction self-map
changes at each step of the algorithm; (ii) only an imperfect information of
the map is available; and, (iii) the algorithm is implemented in a distributed
fashion, with communication delays and packet drops leading to asynchronous
algorithmic updates. The analytical results are applicable to several classes
of problems, including time-varying contraction mappings emerging from online
and asynchronous implementations of gradient-based methods for time-varying
convex programs. In this domain, the proposed framework can also capture the
operating principles of feedback-based online algorithms, where the online
gradient steps are suitably modified to accommodate actionable feedback from an
underlying physical or logical network. Examples of applications and
illustrative numerical results are provided.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph