Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-time Sampling and Estimation on Random Access Channels: Age of
  Information and Beyond   Efficient sampling and remote estimation are critical for a plethora of
wireless-empowered applications in the Internet of Things and cyber-physical
systems. Motivated by such applications, this work proposes decentralized
policies for the real-time monitoring and estimation of autoregressive
processes over random access channels. Two classes of policies are
investigated: (i) oblivious schemes in which sampling and transmission policies
are independent of the processes that are monitored, and (ii) non-oblivious
schemes in which transmitters causally observe their corresponding processes
for decision making. In the class of oblivious policies, we show that
minimizing the expected time-average estimation error is equivalent to
minimizing the expected age of information. Consequently, we prove lower and
upper bounds on the minimum achievable estimation error in this class. Next, we
consider non-oblivious policies and design a threshold policy, called
error-based thinning, in which each source node becomes active if its
instantaneous error has crossed a fixed threshold (which we optimize). Active
nodes then transmit stochastically following a slotted ALOHA policy. A
closed-form, approximately optimal, solution is found for the threshold as well
as the resulting estimation error. It is shown that non-oblivious policies
offer a multiplicative gain close to $3$ compared to oblivious policies.
Moreover, it is shown that oblivious policies that use the age of information
for decision making improve the state-of-the-art at least by the multiplicative
factor $2$. The performance of all discussed policies is compared using
simulations. The numerical comparison shows that the performance of the
proposed decentralized policy is very close to that of centralized greedy
scheduling.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom