Tài liệu Independent Component Analysis - Chapter 16: ICA with Overcomplete Bases ppt

... John Wiley & Sons, Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 306 ICA WITH OVERCOMPLETE BASES 16.1 ESTIMATION OF THE INDEPENDENT COMPONENTS 16.1.1 Maximum likelihood ... 16 ICA with Overcomplete Bases A difficult problem in independent component analysis (ICA) is encountered if the number of mixtures is smaller than the number...

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

... 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

... 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 ... function, as experiments with purely gaussian sources have shown [259, 438]. The MLP network which minimized 17 Nonlinear ICA This chapter deals with...

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 ... one component. 19.2 BLIND SEPARATION OF CONVOLUTIVE MIXTURES 19.2.1 The convolutive BSS problem In several practical applications of ICA, some kind...

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 ... ASSUMPTION 381 Spherical symmetry Invariant-feature subspaces can be embedded in multidi- mensional independent component analysis by considering probabili...

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 ... stimulus. Applications of ICA have been proposed for analysis of other kinds of biomedical data as well, including fMRI, optical imaging, and ECG. 22 Brain Im...

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

... 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