Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Unified Framework of State Evolution for Message-Passing Algorithms   This paper presents a unified framework to understand the dynamics of
message-passing algorithms in compressed sensing. State evolution is rigorously
analyzed for a general error model that contains the error model of approximate
message-passing (AMP), as well as that of orthogonal AMP. As a by-product, AMP
is proved to converge asymptotically if the sensing matrix is orthogonally
invariant and if the moment sequence of its asymptotic singular-value
distribution coincide with that of the Marchenko-Pastur distribution up to the
order that is at most twice as large as the maximum number of iterations.

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The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
19
The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg