Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thouless-Anderson-Palmer Approach for Lossy Compression   We study an ill-posed linear inverse problem, where a binary sequence will be
reproduced using a sparce matrix. According to the previous study, this model
can theoretically provide an optimal compression scheme for an arbitrary
distortion level, though the encoding procedure remains an NP-complete problem.
In this paper, we focus on the consistency condition for a dynamics model of
Markov-type to derive an iterative algorithm, following the steps of
Thouless-Anderson-Palmer's. Numerical results show that the algorithm can
empirically saturate the theoretical limit for the sparse construction of our
codes, which also is very close to the rate-distortion function.

2
The categories of this paper are: math
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex