Gaussian process regression for sensor networks under localization uncertainty
IEEE Transactions on Signal Processing
By: M. Jadaliha, Yunfei Xu, Jongeun Choi, N.S. Johnson, and Weiming Li
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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.
Suggested Citation
Jadaliha, M., Xu, Y., Choi, J., Johnson, N., Li, W., 2013, Gaussian process regression for sensor networks under localization uncertainty: IEEE Transactions on Signal Processing, v. 61, no. 2, p. 223-237, https://doi.org/10.1109/TSP.2012.2223695.
| 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 |