Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On More General Distributions of Random Binning for Slepian-Wolf
  Encoding   Traditionally, ensembles of Slepian-Wolf (SW) codes are defined such that
every bin of each $n$-vector of each source is randomly drawn under the uniform
distribution across the sets $\{0,1,\ldots,2^{nR_X}-1\}$ and
$\{0,1,\ldots,2^{nR_Y}-1\}$, where $R_X$ and $R_Y$ are the coding rates of the
two sources, $X$ and $Y$, respectively. In a few more recent works, where only
one source, say, $X$, is compressed and the other one, $Y$, serves as side
information available at the decoder, the scope is extended to variable-rate
S-W (VRSW) codes, where the rate is allowed to depend on the type class of the
source string, but still, the random-binning distribution is assumed uniform
within the corresponding, type-dependent, bin index set.
  In this expository work, we investigate the role of the uniformity of the
random binning distribution from the perspective of the trade-off between the
reliability (defined in terms of the error exponent) and the compression
performance (measured from the viewpoint of the source coding exponent). To
this end, we study a much wider class of random-binning distributions, which
includes the ensemble of VRSW codes as a special case, but it also goes
considerably beyond. We first show that, with the exception of some
pathological cases, the smaller ensemble, of VRSW codes, is as good as the
larger ensemble in terms the trade-off between the error exponent and the
source coding exponent. Notwithstanding this finding, the wider class of
ensembles proposed is motivated in two ways. The first is that it outperforms
VRSW codes in the above-mentioned pathological cases, and the second is that it
allows robustness: in the event of a system failure that causes unavailability
of the compressed bit-stream from one of the sources, it still allows
reconstruction of the other source within some controllable distortion.

19
The categories of this paper are: eess
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex