Tài liệu Independent Component Analysis - Chapter 17: Nonlinear ICA ppt

... network which minimized 17 Nonlinear ICA This chapter deals with independent component analysis (ICA) for nonlinear mixing models. A fundamental difficulty in the nonlinear ICA problem is that it ... 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 (Hardb...

Ngày tải lên: 20/01/2014, 11:20

... 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 ... of estimates of independent components could be based, for example, on computing the cross-cumulants. Typ- ically these would be higher-order cumulants, since...

Ngày tải lên: 20/01/2014, 11:20

... 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 ... 24 Other Applications In this chapter, we consider some further applications of independent component analysis (ICA) , including analysis of financial time seri...

Ngày tải lên: 20/01/2014, 11:20

... and Newton 273 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) 282 OVERVIEW ... Comparison of Basic ICA Methods In the preceding chapters, we introduced several different estimation principles and algorithms for independent component...

Ngày tải lên: 23/12/2013, 07:19

... 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 (Electronic) 306 ICA ... 16 ICA with Overcomplete Bases A difficult problem in independent component analysis (ICA) is encountered if the number of mixtures is smaller than the numb...

Ngày tải lên: 20/01/2014, 11:20

... alternatives to 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 ... Time Structure The model of independent component analysis (ICA) that we have considered so far consists of mixing independent random variables,...

Ngày tải lên: 20/01/2014, 11:20

... 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 ... 430]: (19.27) Quite similarly as in Chapter 9, each component of the vector applies the nonlinear- ity to the respective component of the argum...

Ngày tải lên: 20/01/2014, 11:20

... given task? 407 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) 408 BRAIN ... to the independent components fell on the brain regions expected to be activated by the particular stimulus. Applications of ICA have been proposed for analy...

Ngày tải lên: 20/01/2014, 11:20

... follows. 1. Initialize = ,where (a) MMSE -ICA: = . (b) RAKE -ICA: =E . (c) MMSEbit -ICA: =E . 438 TELECOMMUNICATIONS Let . 2. Compute one iteration of the complex FastICA algorithm [47]: E (23.49) 3. Divide by ... communicate despite the fact that the other 417 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs:...

Ngày tải lên: 20/01/2014, 11:20