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The use of sequential recurrent neural filters in forecasting the \(\mathbf D_{st}\) index for the strong magnetic storm of autumn 2003. (English) Zbl 1250.85002

Summary: Neural based geomagnetic forecasting literature has heavily relied upon non-sequential algorithms for estimation of model parameters. This paper proposes sequential Bayesian recurrent neural filters for online forecasting of the \(\mathbf D_{st}\) index. Online updating of the RNN parameters allows for newly arrived observations to be included into the model. The online RNN filters are compared to two (non-sequentially trained) models on a severe double storm that has so far been difficult to forecast. It is shown that the proposed models can significantly reduce forecast errors over non-sequentially trained recurrent neural models.

MSC:

85A25 Radiative transfer in astronomy and astrophysics
86A32 Geostatistics
Full Text: DOI

References:

[1] Axford, W. I.; Hines, C. O., A unifying theory of high-latitude geophysical phenomena and geomagnetic storms, Can. J. Phys., 39, 1433-1464 (1961)
[2] Dungey, J. W., Interplanetary magnetic field and the auroral zones, Phys. Rev. Lett., 26, 47-48 (2000)
[3] Gonzales, W. D.; Joselyn, J. A.; Kamide, Y.; Kroehl, H. W.; Rostoker, G.; Tsurutani, B. T.; Vasyliunas, V. M., What is a geomagnetic storm?, J. Geophys. Res., 99, 5771-5792 (1994)
[4] Farrugia, C. J.; Freeman, M. P.; Burlaga, L. F.; Lepping, R. P.; Takahashi, K., The earth’s magnetosphere under continued forcing - Substorm activity during the passage of an interplanetary magnetic cloud, J. Geophys. Res., 98, 7657-7671 (1993)
[5] Gosling, J. T.; McComas, D. J.; Phillips, J. L.; Bame, S. J., Geomagnetic activity associated with earth passage of interplanetary shock disturbances and coronal mass ejections, J. Geophys. Res., 96, 7831-7839 (1991)
[6] Lundstedt, H., Neural networks and prediction of solar-terrestrial effects, Planet. Space Sci., 40, 457-464 (1992)
[7] Lundstedt, H.; Wintoft, P., Prediction of geomagnetic storms from solar wind data with the use of a neural network, Ann Geophys., 12, 19-24 (1994)
[8] Pallocchia, G.; Amata, E.; Consolini, G.; Marcucci, M. F.; Bertello, I., Geomagnetic Dst index forecast based on IMF data only, Ann. Geophys., 24, 989-999 (2006)
[9] Puskorius, G. V.; Feldkamp, L. A., Neurocontrol of nonlinear dynamical systems with Kalman filter trained recurrent networks, IEEE T Neural Networks., 5, 279-297 (1994)
[10] Schottky, B.; Saad, D., Statistical mechanics of EKF learning in neural networks, J. Phys. A: Math Gen., 32, 1605-1621 (1999) · Zbl 0964.82044
[11] Williams, R. J.; Zipser, D., A learning algorithm for continuously running fully connected recurrent neural networks, Neural Computation, 1, 270-280 (1989)
[12] Haykin, S., Kalman Filtering and Neural Networks (2001), John Wiley & Son: John Wiley & Son New York
[13] Cernansky, M.; Benuskova, L., Simple recurrent network trained by RTRL and extended Kalman filter algorithms, Neural Network World, 13, 3, 223-234 (2003)
[14] S. Julier, J. Uhlmann, A new extension of the Kalman filter to nonlinear systems. Signal Processing, Sensor Fusion, and Target Recognition VI, vol. 3068, 1997, pp. 182-193.; S. Julier, J. Uhlmann, A new extension of the Kalman filter to nonlinear systems. Signal Processing, Sensor Fusion, and Target Recognition VI, vol. 3068, 1997, pp. 182-193.
[15] Lundstedt, H.; Gleisner, H.; Wintoft, P., Operational forecasts of the geomagnetic Dst index, Geophys. Res. Lett., 29 (2002), 34-1-34-4
[16] Amata, E.; Pallocchia, G.; Consolini, G.; Marcucci, M. F.; Bertello, I., Comparison between three algorithms for Dst predictions over the 2003-2005 period, Journal of Atmospheric and Solar-Terrestrial Physics, 70, 496-502 (2008)
[17] Lund space weather center
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