Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust Localization with Bounded Noise: Creating a Superset of the
  Possible Target Positions via Linear-Fractional Representations   Locating an object is key in many applications, namely in high-stakes
real-world scenarios, like detecting humans or obstacles in vehicular networks.
In such applications, pointwise estimates are not enough, and the full area of
locations compatible with acquired measurements should be available, for robust
and safe navigation. This paper presents a scalable algorithm for creating a
superset of all possible target locations, given range measurements with
bounded error. The assumption of bounded error is mild, since both hardware
characteristics and application scenario impose upper bounds on measurement
errors, and the bounded set can be taken from confidence regions of the error
distributions. We construct the superset through convex relaxations that use
Linear Fractional Representations (LFRs), a well-known technique in robust
control. Additionally, we also provide a statistical interpretation for the set
of possible target positions, considering the framework of robust estimation.
Finally, we provide empirical validation by comparing our LFR method with a
standard semidefinite relaxation. Our approach has shown to pay off for small
to moderate noise levels: the supersets created by our method are tighter than
the benchmark ones being about 20% smaller in size. Furthermore, our method
tends to be tight because the size of the supersets is, on median terms, within
a 3% margin of a lower bound computed via grid search.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg