Distributed gaussian process regression for mobile sensor networks under localization uncertainty

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2013, Pages 4766-4771

  Choi, Sungjoon ^a   Jadaliha, Mahdi ^b   Choi, Jongeun ^c   Oh, Songhwai ^a  

^a Department of Aerospace Engineering   (South Korea)

^b Michigan State University   (United States)

^c MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); NUMERICAL METHODS;

DISCRETE TIME; GAUSSIAN PROCESS REGRESSION; LIMITED COMMUNICATION RANGE; MAXIMUM A POSTERIORI SOLUTIONS; MOBILE SENSOR NETWORKS; OVER RELAXATION;

SENSOR NETWORKS;

EID: 84902318747     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2013.6760636     Document Type: Conference Paper

References (19)

1. D. Ehrlich, J. Estes, and A. Singh, "Applications of NOAA-AYHRR I km data for environmental monitoring, " Remote Sensing, vol. 15, no. 1, pp. 145-161, 1994.
2. D. Culler, D. Estrin, and M. Srivastava, "Guest editors' introduction: overview of sensor networks, " Computer, pp. 41-49, 2004.
3. c. Rasmussen and C. Williams, Gaussian processes for machine learning. MIT press Cambridge, MA, 2006, vol. 1.
4. J. Choi, J. Lee, and S. Oh, "Swarm intelligence for achieving the global maximum using spatio-temporal Gaussian processes, " in Proc. of the American Control Conference, 2008, pp. 135-140.
5. A. Krause, C. Guestrin, A. Gupta, and J. Kleinberg, "Near-optimal sensor placements: Maximizing information while minimizing communication cost, " in Proc. of the International Conference on Information Processing in Sensor Networks, 2006.
6. C. Williams and M. Seeger, "Using the Nystrom method to speed up kernel machines, " in Proc. of the Advances in Neural Information Processing Systems, 2001.
7. N. Lawrence, M. Seeger, and R. Herbrich, "Fast sparse Gaussian process methods: The informative vector machine, " in Proc. of the Advances in Neural Information Processing Systems, 2002.
8. Y. Xu, J. Choi, and S. Oh, "Mobile sensor network navigation using Gaussian processes with truncated observations, " IEEE Transactions on Robotics, vol. 27, no. 6, pp. 1118-1131, 2011.
9. P. Oguz-Ekim, J. Gomes, J. Xavier, and P. Oliveira, "Robust localization of nodes and time-recursive tracking in sensor networks using noisy range measurements, " IEEE Transactions on Signal Processing, vol. 59, no. 8, pp. 3930-3942, 2011.
10. R. Karlsson and F. Gustafsson, "Bayesian surface and underwater navigation, " IEEE Transactions on Signal Processing, vol. 54, no. 11, pp. 4204-4213, 2006.
11. M. Jadaliha, Y. Xu, J. Choi, N. Johnson, and W. Li, "Gaussian process regression for sensor networks under localization uncertainty, " IEEE Transactions on Signal Processing, vol. 61, no. 2, pp. 223-237, 2013.
12. L. Tierney and J. Kadane, "Accurate approximations for posterior moments and marginal densities, " Journal of the American Statistical Association, vol. 81, no. 393, pp. 82-86, 1986.
13. L. Tierney, R. Kass, and J. B. Kadane, "Fully exponential Laplace approximations to expectations and variances of nonpositive functions, " Journal of the American Statistical Association, vol. 84, no. 407, 1989.
14. Y. Miyata, "Fully exponential Laplace approximations using asymptotic modes, " Journal of the American Statistical Association, vol. 99, no. 468, pp. 1037-1049, 2004.
15. Y. Miyata, "Laplace approximations to means and variances with asymptotic modes, " Journal of Statistical Planning and Inference, vol. 140, no. 2, pp. 382-392, 2010.
16. D. Bertsekas and J. Tsitsiklis, Parallel and distributed computation: Numerical Methods. Englewood Cliffs, NJ: Prentice-Hall, 1989.
17. F. Udwadia, "Some convergence results related to the JOR iterative method for symmetric, positive-definite matrices, " Applied Mathematics and Computation, vol. 47, no. 1, pp. 37-45, 1992.
18. J. Cortes, "Distributed kriged Kalman filter for spatial estimation, " IEEE Transactions on Automatic Control, vol. 54, no. 12, pp. 2816- 2827, 2009.
19. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems, " in Proc. of the IEEE, vol. 95, no. I, 2007, pp. 215-233.