Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toeplitz Matrix Based Sparse Error Correction in System Identification:
  Outliers and Random Noises   In this paper, we consider robust system identification under sparse outliers
and random noises. In our problem, system parameters are observed through a
Toeplitz matrix. All observations are subject to random noises and a few are
corrupted with outliers. We reduce this problem of system identification to a
sparse error correcting problem using a Toeplitz structured real-numbered
coding matrix. We prove the performance guarantee of Toeplitz structured matrix
in sparse error correction. Thresholds on the percentage of correctable errors
for Toeplitz structured matrices are also established. When both outliers and
observation noise are present, we have shown that the estimation error goes to
0 asymptotically as long as the probability density function for observation
noise is not "vanishing" around 0.

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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga