Gaussian process regression for sensor networks under localization uncertainty

Mahdi Jadaliha, Yunfei Xu, Jongeun Choi, Nicholas S. Johnson, Weiming Li

Research output: Contribution to journalArticle

35 Citations (Scopus)

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.

Original languageEnglish
Article number6327685
Pages (from-to)223-237
Number of pages15
JournalIEEE Transactions on Signal Processing
Volume61
Issue number2
DOIs
Publication statusPublished - 2013 Jan 7

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All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering

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