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Time Series Forecasting Using Independent Component Analysis
Authors: Theodor D. Popescu
Abstract:The paper presents a method for multivariate time series forecasting using Independent Component Analysis (ICA), as a preprocessing tool. The idea of this approach is to do the forecasting in the space of independent components (sources), and then to transform back the results to the original time series space. The forecasting can be done separately and with a different method for each component, depending on its time structure. The paper gives also a review of the main algorithms for independent component analysis in the case of instantaneous mixture models, using second and high-order statistics. The method has been applied in simulation to an artificial multivariate time series with five components, generated from three sources and a mixing matrix, randomly generated.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1074779Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1601
 A. Hyv┬¿arinen, J. Karhunen and E. Oja, Independent Component Analysis, John Wiley & Sons, Inc, 2001.
 P. Comon, "Independent Component analysis - a new concept ?", Signal Processing, vol. 36, pp. 287-314, 1994.
 A. Belouchrani, K. Abed Meraim, J.F. Cardoso and E. Moulines, "A blind source separation technique based on second order statistics", IEEE Trans. on Signal Processing, vol. 45, no. 2, pp. 434-444, 1997.
 M. Wax and T. Kailath, "Determining the number of signals by information theoretic criteria", Workshop on spectral estimation II, Florida, pp. 192-196, 1983.
 Y. Yin and P. Krishnaiah, "Methods for detection of the number of signals", IEEE Trans. on ASSP, vol. 35, no. 11, pp. 1533-1538, 1987.
 G. H. Golub and C.F.V. Loan, Matrix Computation, The John Hopkins University Press, 1989.
 A. Souloumiac and J.F. Cardoso, "Comparaison de methodes de separation de sources", Proc. GRETSI, Juan les Pines, 1991.
 A. Souloumiac and J.F. Cardoso, "Givens angles for simultaneous diagonalization", SIAM J. Matrix Anal. Appl., 1994.
 J. F. Cardoso and A. Souloumiac, "Blind beamforming for non Gaussian signals, IEE Proceedings - F, vol. 140, no. 6, pp. 362-370, 1993.
 J. F. Cardoso and P. Comon, "Tensor based independent component analysis", Proc. EU-SIPCO, 1990.