Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust Compressed Sensing Under Matrix Uncertainties   Compressed sensing (CS) shows that a signal having a sparse or compressible
representation can be recovered from a small set of linear measurements. In
classical CS theory, the sampling matrix and representation matrix are assumed
to be known exactly in advance. However, uncertainties exist due to sampling
distortion, finite grids of the parameter space of dictionary, etc. In this
paper, we take a generalized sparse signal model, which simultaneously
considers the sampling and representation matrix uncertainties. Based on the
new signal model, a new optimization model for robust sparse signal
reconstruction is proposed. This optimization model can be deduced with
stochastic robust approximation analysis. Both convex relaxation and greedy
algorithms are used to solve the optimization problem. For the convex
relaxation method, a sufficient condition for recovery by convex relaxation is
given; For the greedy algorithm, it is realized by the introduction of a
pre-processing of the sensing matrix and the measurements. In numerical
experiments, both simulated data and real-life ECG data based results show that
the proposed method has a better performance than the current methods.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th