메뉴 건너뛰기




Volumn , Issue , 2014, Pages

On convergence and accuracy of state-space approximations of squared exponential covariance functions

Author keywords

central limit theorem; Gaussian process regression; Kalman filter and smoother; Pad approximant; squared exponential; state space approximation

Indexed keywords

EXPONENTIAL FUNCTIONS; GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); KALMAN FILTERS; LEARNING SYSTEMS; SIGNAL PROCESSING; SPECTRAL DENSITY;

EID: 84912569556     PISSN: 21610363     EISSN: 21610371     Source Type: Conference Proceeding    
DOI: 10.1109/MLSP.2014.6958890     Document Type: Conference Paper
Times cited : (30)

References (25)
  • 3
    • 84878049984 scopus 로고    scopus 로고
    • Infinite-dimensional kalman filtering approach to spatio-temporal gaussian process regression
    • (AISTATS 2012)
    • S. Särkkä and J. Hartikainen, "Infinite-dimensional Kalman filtering approach to spatio-temporal Gaussian process regression," in JMLRWorkshop and Conference Proceedings Volume 22 (AISTATS 2012), 2012, pp. 993-1001.
    • (2012) JMLRWorkshop and Conference Proceedings , vol.22 , pp. 993-1001
    • Särkkä, S.1    Hartikainen, J.2
  • 4
    • 85032750844 scopus 로고    scopus 로고
    • Spatiotemporal learning via infinite-dimensional bayesian filtering and smoothing
    • S. Särkkä, A. Solin, and J. Hartikainen, "Spatiotemporal learning via infinite-dimensional Bayesian filtering and smoothing," IEEE Signal Processing Magazine, vol. 30, no. 4, pp. 51-61, 2013.
    • (2013) IEEE Signal Processing Magazine , vol.30 , Issue.4 , pp. 51-61
    • Särkkä, S.1    Solin, A.2    Hartikainen, J.3
  • 9
    • 34247197120 scopus 로고    scopus 로고
    • Bayesian smoothing with gaussian processes using fourier basis functions in the spectralgp package
    • C. J. Paciorek, "Bayesian smoothing with Gaussian processes using Fourier basis functions in the spectralGP package," Journal of Statistical Software, vol. 19, no. 2, pp. 1-38, 2007.
    • (2007) Journal of Statistical Software , vol.19 , Issue.2 , pp. 1-38
    • Paciorek, C.J.1
  • 10
    • 67649921167 scopus 로고    scopus 로고
    • Application of fftbased algorithms for large-scale universal kriging problems
    • J. Fritz, I. Neuweiler, and W. Nowak, "Application of FFTbased algorithms for large-scale universal kriging problems," Mathematical Geosciences, vol. 41, no. 5, pp. 509-533, 2009.
    • (2009) Mathematical Geosciences , vol.41 , Issue.5 , pp. 509-533
    • Fritz, J.1    Neuweiler, I.2    Nowak, W.3
  • 11
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems," transactions of the asme
    • R. E. Kalman, "A new approach to linear filtering and prediction problems," Transactions of the ASME, Journal of Basic Engineering, vol. 82, no. 1, pp. 35-45, 1960.
    • (1960) Journal of Basic Engineering , vol.82 , Issue.1 , pp. 35-45
    • Kalman, R.E.1
  • 12
    • 21644483999 scopus 로고
    • Maximum likelihood estimates of linear dynamic systems
    • H. E. Rauch, F. Tung, and C. T. Striebel, "Maximum likelihood estimates of linear dynamic systems," AIAA Journal, vol. 3, no. 8, pp. 1445-1450, 1965.
    • (1965) AIAA Journal , vol.3 , Issue.8 , pp. 1445-1450
    • Rauch, H.E.1    Tung, F.2    Striebel, C.T.3
  • 18
    • 84889237843 scopus 로고    scopus 로고
    • Infinite-dimensional bayesian filtering for detection of quasiperiodic phenomena in spatiotemporal data
    • Nov
    • A. Solin and S. Särkkä, "Infinite-dimensional Bayesian filtering for detection of quasiperiodic phenomena in spatiotemporal data," Phys. Rev. E, vol. 88, pp. 052909, Nov 2013.
    • (2013) Phys. Rev. e , vol.88
    • Solin, A.1    Särkkä, S.2
  • 21
    • 33846962550 scopus 로고
    • Convergence of padé approximants to e-x on unbounded sets
    • April
    • E. B. Saff and R. S. Varga, "Convergence of Padé approximants to e-x on unbounded sets," Journal of Approximation Theory, vol. 13, no. 4, April 1975.
    • (1975) Journal of Approximation Theory , vol.13 , Issue.4
    • Saff, E.B.1    Varga, R.S.2
  • 22
    • 18444377213 scopus 로고
    • Sur la représentation approchée d'une fonction par des fractions rationnelles
    • PhD Thesis
    • H. Padé, "Sur la représentation approchée d'une fonction par des fractions rationnelles," in Annales scientifiques de l'École Normale Supérieure, Sér. 3, vol. 9, pp. 3-93 (supplément). 1892, PhD Thesis.
    • (1892) Annales Scientifiques de l'École Normale Supérieure, Sér. 3 , vol.9 , pp. 3-93
    • Padé, H.1
  • 24


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.