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Gaussian process regression for sensor networks under localization uncertainty

IEEE Transactions on Signal Processing

By:
, , , , and
DOI: 10.1109/TSP.2012.2223695

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Abstract

In this paper, we formulate Gaussian process regression with observations under the localization uncertainty due to the resource-constrained sensor networks. In our formulation, effects of observations, measurement noise, localization uncertainty, and prior distributions are all correctly incorporated in the posterior predictive statistics. The analytically intractable posterior predictive statistics are proposed to be approximated by two techniques, viz., Monte Carlo sampling and Laplace's method. Such approximation techniques have been carefully tailored to our problems and their approximation error and complexity are analyzed. Simulation study demonstrates that the proposed approaches perform much better than approaches without considering the localization uncertainty properly. Finally, we have applied the proposed approaches on the experimentally collected real data from a dye concentration field over a section of a river and a temperature field of an outdoor swimming pool to provide proof of concept tests and evaluate the proposed schemes in real situations. In both simulation and experimental results, the proposed methods outperform the quick-and-dirty solutions often used in practice.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Gaussian process regression for sensor networks under localization uncertainty
Series title:
IEEE Transactions on Signal Processing
DOI:
10.1109/TSP.2012.2223695
Volume
61
Issue:
2
Year Published:
2013
Language:
English
Publisher:
IEEE
Contributing office(s):
Great Lakes Science Center
Description:
15 p.
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
IEEE Transactions on Signal Processing
First page:
223
Last page:
237