Tài liệu Independent Component Analysis - Chapter 18: Methods using Time Structure ppt

... the 341 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 342 METHODS ... of complexity minimization. 18 Methods using Time Structure The model of independent component analysis (ICA) that we have considered so far consists of...

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... estimation methods are less developed. 305 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 ... matrix use as subroutines methods that estimate the independent components for a known mixing matrix. Therefore, we shall first treat methods for recon...

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... Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 282 OVERVIEW AND COMPARISON OF BASIC ICA METHODS or the Bell-Sejnowski algorithm (BS). Second, we have ... Comparison of Basic ICA Methods In the preceding chapters, we introduced several different estimation principles and algorithms for independent component...

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... instantaneous 315 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 334 NONLINEAR ... form (17.2) where is the observed -dimensional data (mixture) vector, is an unknown real- valued -component mixing function, and is an -vector whose elemen...

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... convolutive mix- 355 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 356 CONVOLUTIVE ... (recurrent) structure. The stability and other properties of the discrete -time filter (A.1) can be analyzed conve- niently in terms of the z-transfo...

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... application. 371 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 372 OTHER ... dependency structure of estimates of independent components could be based, for example, on computing the cross-cumulants. Typ- ically these would be higher-...

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... Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 408 BRAIN IMAGING APPLICATIONS Well-known functional brain mapping methods include positron emission tomog- raphy (PET) and ... activated at a given time. Such brain imaging methods can help in answering the question: What parts of the brain are needed for a given task? 407 Independent Component...

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... the other 417 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 436 TELECOMMUNICATIONS contains ... second-order correlations are re- moved from the data by whitening. This can be done easily in terms of standard principal component analys...

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... Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 442 OTHER APPLICATIONS We assume the instantaneous ICA model (24.1) for each time series . Thus the effect of each time- varying underlying ... mixtures in the ICA model are parallel financial time series , with indexing the individual time series, and denoting discrete time. 441 Independent Component...

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