In this paper, we propose distributed Gaussian process regression (GPR) for resource-constrained distributed sensor networks under localization uncertainty. The proposed distributed algorithm, which combines Jacobi over-relaxation (JOR) and discrete-time average consensus (DAC), can effectively handle localization uncertainty as well as limited communication and computation capabilities of distributed sensor networks. We also extend the proposed method hierarchically using sparse GPR to improve its scalability. The performance of the proposed method is verified in numerical simulations against the centralized maximum a posteriori (MAP) solution and a quick-and-dirty solution. We show that the proposed method outperforms the quick-and-dirty solution and achieve an accuracy comparable to the centralized solution.
Distributed Gaussian Process Regression Under Localization Uncertainty
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 19, 2013; final manuscript received July 16, 2014; published online October 21, 2014. Assoc. Editor: Dejan Milutinovic.
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Choi, S., Jadaliha, M., Choi, J., and Oh, S. (October 21, 2014). "Distributed Gaussian Process Regression Under Localization Uncertainty." ASME. J. Dyn. Sys., Meas., Control. March 2015; 137(3): 031007. https://doi.org/10.1115/1.4028148
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