Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Gaussian lossy Gray-Wyner network   We consider the problem of source coding subject to a fidelity criterion for
the Gray-Wyner network that connects a single source with two receivers via a
common channel and two private channels. The pareto-optimal trade-offs between
the sum-rate of the private channels and the rate of the common channel is
completely characterized for jointly Gaussian sources subject to the
mean-squared error criterion, leveraging convex duality and an argument
involving the factorization of convex envelopes. Specifically, it is attained
by selecting the auxiliary random variable to be jointly Gaussian with the
sources.

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph