Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tracking an Auto-Regressive Process with Limited Communication per Unit
  Time   Samples from a high-dimensional AR[1] process are observed by a sender which
can communicate only finitely many bits per unit time to a receiver. The
receiver seeks to form an estimate of the process value at every time instant
in real-time. We consider a time-slotted communication model in a slow-sampling
regime where multiple communication slots occur between two sampling instants.
We propose a successive update scheme which uses communication between sampling
instants to refine estimates of the latest sample and study the following
question: Is it better to collect communication of multiple slots to send
better refined estimates, making the receiver wait more for every refinement,
or to be fast but loose and send new information in every communication
opportunity? We show that the fast but loose successive update scheme with
ideal spherical codes is universally optimal asymptotically for a large
dimension. However, most practical quantization codes for fixed dimensions do
not meet the ideal performance required for this optimality, and they typically
will have a bias in the form of a fixed additive error. Interestingly, our
analysis shows that the fast but loose scheme is not an optimal choice in the
presence of such errors, and a judiciously chosen frequency of updates
outperforms it.

3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci