Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sensor placement minimizing the state estimation mean square error:
  Performance guarantees of greedy solutions   This paper studies selecting a subset of the system's output to minimize the
state estimation mean square error (MSE). This results in the maximization
problem of a set function defined on possible sensor selections subject to a
cardinality constraint. We consider to solve it approximately by a greedy
search. Since the MSE function is not submodular nor supermodular, the
well-known performance guarantees for the greedy solutions do not hold in the
present case. Thus, we use the quantities---the submodularity ratio and the
curvature---to evaluate the degrees of submodularity and supermodularity of the
objective function. By using the properties of the MSE function, we
approximately compute these quantities and derive a performance guarantee for
the greedy solutions. It is shown that the guarantee is less conservative than
those in the existing results.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
24
The categories of this paper are: dg-ga