Tài liệu Independent Component Analysis - Chapter 14: Overview and Comparison of Basic ICA Methods pptx

... Inc. ISBNs: 0-4 7 1-4 0540-X (Hardback); 0-4 7 1-2 213 1-7 (Electronic) 288 OVERVIEW AND COMPARISON OF BASIC ICA METHODS this will be maximally nongaussian if it equals one of the independent components. Nongaussianity ... choice of the learning parameters. 14 Overview and Comparison of Basic ICA Methods In the preceding chapters, we introduced seve...

Ngày tải lên: 23/12/2013, 07:19

... the realizations of the independent components, and is an irrelevant constant. The functions are the log-densities of the independent components. Maximization of (16.7) with respect to and could be ... independent components than observed mixtures. Basic ICA methods cannot be used as such. In most practical applications, it may be more useful to use the basic ICA mod...

Ngày tải lên: 20/01/2014, 11:20

... unknown real- valued -component mixing function, and is an -vector whose elements are the unknown independent components. Assume now for simplicity that the number of independent components equals the ... 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...

Ngày tải lên: 20/01/2014, 11:20

... basic ICA and methods using time structure was proposed by Pajunen [342, 343], based on the information-theoretic concept of Kolmogoroff complexity. As has been argued in Chapters 8 and 10, ICA ... definition of the concept, see [342, 343]. ICA and Kolmogoroff complexity We can now define a generalization of ICA as follows: Find the transformation of the data where the...

Ngày tải lên: 20/01/2014, 11:20

... that is closely related to basic independent component analysis (ICA) and blind source separation (BSS). In com- munications and related areas, blind deconvolution is often called blind equalization. In ... yields (A.6) where (A.7) is the -transform of the coefficients where the coefficient corresponds to ,and is the -transform of the output sequence . and are defined quite si...

Ngày tải lên: 20/01/2014, 11:20

... ASSUMPTION 381 Spherical symmetry Invariant-feature subspaces can be embedded in multidi- mensional independent component analysis by considering probability distributions for the -tuples of that are spherically ... roles of the mixing m atrix and t he ICs. In the basic ICA model, the difference between and is due to the statistical assumptions made on , which are the indep...

Ngày tải lên: 20/01/2014, 11:20

... interpretation of their properties. This is a very promising area of application for independent component analysis (ICA) . Not only is this an area of rapid g rowth and great importance; some kinds of brain ... the basic ICA model The application of ICA to the study of EEG and MEG signals assumes that several conditions are verified, at least approximately: the exi...

Ngày tải lên: 20/01/2014, 11:20

... references to other communications applications of ICA and related blind techniques used in communications. 23.1 MULTIUSER DETECTION AND CDMA COMMUNICATIONS In wireless communication systems, like ... (Hardback); 0-4 7 1-2 213 1-7 (Electronic) MULTIUSER DETECTION AND CDMA COMMUNICATIONS 419 time -1 -1 -1 +1 +1 +1 T T c binary data spreading code modulated data time t...

Ngày tải lên: 20/01/2014, 11:20

... consider some further applications of independent component analysis (ICA) , including analysis of financial time series and audio signal separation. 24.1 FINANCIAL APPLICATIONS 24.1.1 Finding hidden ... 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 . Thu...

Ngày tải lên: 20/01/2014, 11:20