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Volumn 22, Issue , 2012, Pages 993-1001

Infinite-dimensional kalman filtering approach to spatio-temporal Gaussian process regression

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; DIFFERENTIAL EQUATIONS; GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); KALMAN FILTERS; NUMERICAL METHODS; REGRESSION ANALYSIS; STOCHASTIC SYSTEMS;

EID: 84878049984     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (58)

References (38)
  • 1
    • 38649104149 scopus 로고    scopus 로고
    • Spatiotemporal random fields associated with stochastic fractional Helmholtz and heat equations
    • Angulo, J. M., Kelbert, M. Y., Leonenko, N. N., and Ruiz-Medina, M. D. (2008). Spatiotemporal random fields associated with stochastic fractional Helmholtz and heat equations. Stoch Environ Res Risk Assess, 22: S3-S13.
    • (2008) Stoch Environ Res Risk Assess , vol.22 , pp. S3-S13
    • Angulo, J.M.1    Kelbert, M.Y.2    Leonenko, N.N.3    Ruiz-Medina, M.D.4
  • 3
    • 0442325070 scopus 로고    scopus 로고
    • Classes of nonseparable, spatio-temporal stationary covariance functions
    • Cressie, N. and Huang, H.-C. (1999). Classes of nonseparable, spatio-temporal stationary covariance functions. JASA, 94 (448): 1330-1340.
    • (1999) JASA , vol.94 , Issue.448 , pp. 1330-1340
    • Cressie, N.1    Huang, H.-C.2
  • 4
    • 1642398367 scopus 로고    scopus 로고
    • Space-time kalman filter
    • El-Shaarawi, A. H. and Piegorsch, W. W., editors. JohnWiley & Sons, Ltd, Chichester
    • Cressie, N. and Wikle, C. K. (2002). Space-time Kalman filter. In El-Shaarawi, A. H. and Piegorsch, W. W., editors, Encyclopedia of Environmetrics, volume 4, pages 2045-2049. JohnWiley & Sons, Ltd, Chichester.
    • (2002) Encyclopedia of Environmetrics , vol.4 , pp. 2045-2049
    • Cressie, N.1    Wikle, C.K.2
  • 6
    • 0016535595 scopus 로고
    • A survey of infinite-dimensional filtering
    • Curtain, R. (1975). A survey of infinite-dimensional filtering. SIAM Review, 17 (3): 395-411.
    • (1975) SIAM Review , vol.17 , Issue.3 , pp. 395-411
    • Curtain, R.1
  • 11
    • 78449278190 scopus 로고    scopus 로고
    • Kalman filtering and smoothing solutions to temporal Gaussian process regression models
    • Hartikainen, J. and Särkkä, S. (2010). Kalman filtering and smoothing solutions to temporal Gaussian process regression models. In Proceedings of MLSP.
    • (2010) Proceedings of MLSP
    • Hartikainen, J.1    Särkkä, S.2
  • 12
    • 79551666736 scopus 로고    scopus 로고
    • State space regularization in the nonstationary inverse problem for diffuse optical tomography
    • Hiltunen, P., Särkkä, S., Nissila, I., Lajunen, A., and Lampinen, J. (2011). State space regularization in the nonstationary inverse problem for diffuse optical tomography. Inverse Problems, 27: 025009.
    • (2011) Inverse Problems , vol.27 , pp. 025009
    • Hiltunen, P.1    Särkkä, S.2    Nissila, I.3    Lajunen, A.4    Lampinen, J.5
  • 15
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems. Transactions of the ASME
    • Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Transactions of the ASME, Journal of Basic Engineering, 82: 35-45.
    • (1960) Journal of Basic Engineering , vol.82 , pp. 35-45
    • Kalman, R.E.1
  • 17
    • 17844384267 scopus 로고    scopus 로고
    • Fractional random fields associated with stochastic fractional heat equations
    • Kelbert, M., Leonenko, N., and Ruiz-Medina, M. D. (2005). Fractional random fields associated with stochastic fractional heat equations. Adv Appl Prob, 37: 108-133.
    • (2005) Adv Appl Prob , vol.37 , pp. 108-133
    • Kelbert, M.1    Leonenko, N.2    Ruiz-Medina, M.D.3
  • 18
    • 50549103888 scopus 로고    scopus 로고
    • An introduction to numerical methods of pseudodifferential operators
    • Feichtinger, H. G., Rodino, L., and Wong M. W., editors, Springer
    • Lamoureux, M. and Margrave, G. (2008). An introduction to numerical methods of pseudodifferential operators. In Feichtinger, H. G., Rodino, L., and Wong, M. W., editors, Pseudo-differential operators : quantization and signals, pages 79-133. Springer.
    • (2008) Pseudo-differential Operators: Quantization and Signals , pp. 79-133
    • Lamoureux, M.1    Margrave, G.2
  • 20
    • 79961050814 scopus 로고    scopus 로고
    • An explicit link between Gaussian fields and Gaussian Markov random fields: The stochastic partial differential equation approach
    • Lindgren, F., Rue, H., and Lindström, J. (2011). An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach. JRSS B, 73 (4): 423-498.
    • (2011) JRSS B , vol.73 , Issue.4 , pp. 423-498
    • Lindgren, F.1    Rue, H.2    Lindström, J.3
  • 22
    • 0002978835 scopus 로고
    • Curve fitting and optimal design for prediction (with discussion)
    • O'Hagan, A. (1978). Curve fitting and optimal design for prediction (with discussion). JRSS B, 40 (1): 1-42.
    • (1978) JRSS B , vol.40 , Issue.1 , pp. 1-42
    • O'Hagan, A.1
  • 25
    • 33745999511 scopus 로고    scopus 로고
    • Spatial modelling using a new class of nonstationary covariance functions
    • Paciorek, C. and Schervish, M. (2006). Spatial modelling using a new class of nonstationary covariance functions. Environmetrics, 17 (5): 483-506.
    • (2006) Environmetrics , vol.17 , Issue.5 , pp. 483-506
    • Paciorek, C.1    Schervish, M.2
  • 27
    • 29144453489 scopus 로고    scopus 로고
    • A unifying view of sparse approximate Gaussian process regression
    • Quiñonero-Candela, J. and Rasmussen, C. E. (2005). A unifying view of sparse approximate Gaussian process regression. JMLR, 6: 1939-1959.
    • (2005) JMLR , vol.6 , pp. 1939-1959
    • Quiñonero-Candela, J.1    Rasmussen, C.E.2
  • 29
    • 21644483999 scopus 로고
    • Maximum likelihood estimates of linear dynamic systems
    • Rauch, H. E., Tung, F., and Striebel, C. T. (1965). Maximum likelihood estimates of linear dynamic systems. AIAA Journal, 3 (8): 1445-1450.
    • (1965) AIAA Journal , vol.3 , Issue.8 , pp. 1445-1450
    • Rauch, H.E.1    Tung, F.2    Striebel, C.T.3
  • 31
    • 84867628750 scopus 로고    scopus 로고
    • Linear operators and stochastic partial differential equations in Gaussian process regression
    • Särkkä, S. (2011). Linear operators and stochastic partial differential equations in Gaussian process regression. In Proceedings of ICANN'11.
    • (2011) Proceedings of ICANN'11
    • Särkkä, S.1
  • 33
    • 0013200814 scopus 로고
    • Distributed parameter state estimation
    • Ray, W. H. and Lainiotis D. G., editors. Dekker
    • Tzafestas, S. G. (1978). Distributed parameter state estimation. In Ray, W. H. and Lainiotis, D. G., editors, Distributed Parameter Systems. Dekker.
    • (1978) Distributed Parameter Systems
    • Tzafestas, S.G.1
  • 34
    • 77953754085 scopus 로고    scopus 로고
    • Modelling local and global phenomena with sparse Gaussian processes
    • Vanhatalo, J. and Vehtari, A. (2008). Modelling local and global phenomena with sparse Gaussian processes. In Proceedings of UAI.
    • (2008) Proceedings of UAI
    • Vanhatalo, J.1    Vehtari, A.2
  • 35
    • 0001760833 scopus 로고
    • On stationary processes in the plane
    • Whittle, P. (1954). On stationary processes in the plane. Biometrica, 41 (3/4): 434-449.
    • (1954) Biometrica , vol.41 , Issue.3-4 , pp. 434-449
    • Whittle, P.1
  • 37
    • 0000414912 scopus 로고    scopus 로고
    • A dimensionreduced approach to space-time Kalman filtering
    • Wikle, C. K. and Cressie, N. (1999). A dimensionreduced approach to space-time Kalman filtering. Biometrika, 86 (4): 815-829.
    • (1999) Biometrika , vol.86 , Issue.4 , pp. 815-829
    • Wikle, C.K.1    Cressie, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.