Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One step RSB scheme for the rate distortion function   We apply statistical mechanics to an inverse problem of linear mapping to
investigate the physics of the irreversible compression. We use the replica
symmetry breaking (RSB) technique with a toy model to demonstrate the Shannon's
result. The rate distortion function, which is widely known as the theoretical
limit of the compression with a fidelity criterion, is derived using the Parisi
one step RSB scheme. The bound can not be achieved in the sparsely-connected
systems, where suboptimal solutions dominate the capacity.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph