Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Streaming Data Transmission in the Moderate Deviations and Central Limit
  Regimes   We consider streaming data transmission over a discrete memoryless channel. A
new message is given to the encoder at the beginning of each block and the
decoder decodes each message sequentially, after a delay of $T$ blocks. In this
streaming setup, we study the fundamental interplay between the rate and error
probability in the central limit and moderate deviations regimes and show that
i) in the moderate deviations regime, the moderate deviations constant improves
over the block coding or non-streaming setup by a factor of $T$ and ii) in the
central limit regime, the second-order coding rate improves by a factor of
approximately $\sqrt{T}$ for a wide range of channel parameters. For both
regimes, we propose coding techniques that incorporate a joint encoding of
fresh and previous messages. In particular, for the central limit regime, we
propose a coding technique with truncated memory to ensure that a summation of
constants, which arises as a result of applications of the central limit
theorem, does not diverge in the error analysis.
  Furthermore, we explore interesting variants of the basic streaming setup in
the moderate deviations regime. We first consider a scenario with an erasure
option at the decoder and show that both the exponents of the total error and
the undetected error probabilities improve by factors of $T$. Next, by
utilizing the erasure option, we show that the exponent of the total error
probability can be improved to that of the undetected error probability (in the
order sense) at the expense of a variable decoding delay. Finally, we also
extend our results to the case where the message rate is not fixed but
alternates between two values.

19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc