Independent component analysis P19

... the signal x(t) to be deconvolved. Estimating just one independent component , we obtain the original deconvolved signal s(t) . If several components are estimated, they correspond to translated ... convolutive mixtures. Blind deconvolution is a signal processing problem that is closely related to basic independent component analysis (ICA) and blind source separation (BSS). In com- mu...

Ngày tải lên: 24/10/2013, 08:15

... densities of the independent components as gaussian mixture densities; the application of the EM algorithm then becomes feasible. In [42], the simpler case of discrete-valued independent components ... consider the noisy independent components, given by ~s i = s i + n i , and rewrite the model as x = A ~ s (15.3) We see that this is just the basic ICA model, with modified independent c...

Ngày tải lên: 17/10/2013, 19:15

... Overcomplete Bases A difficult problem in independent component analysis (ICA) is encountered if the number of mixtures x i is smaller than the number of independent components s i .This means that the ... the s(t) are the realizations of the independent components, and C is an irrelevant constant. The functions f i are the log-densities of the independent components. Maximization...

Ngày tải lên: 20/10/2013, 10:15

... real- valued m -component mixing function, and s is an n -vector whose elements are the n unknown independent components. Assume now for simplicity that the number of independent components n equals the ... quite nonlinear, because nonlinear factor analysis is able to explain the data with 10 components equally well as linear factor analysis (PCA) with 21 components. Different numbe...

Ngày tải lên: 20/10/2013, 10:15

... time-correlations. 18 Methods using Time Structure The model of independent component analysis (ICA) that we have considered so far consists of mixing independent random variables, usually linearly. In many applications, ... allow for the estimation of the model. These assumptions are alternatives to the 341 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki...

Ngày tải lên: 24/10/2013, 08:15

... by independent subspaces analysis, to be explained next. 20.2.2 Independent subspace analysis Independent subspace analysis [204] is a simple model that models some dependen- cies between the components. ... methods of independent subspaces or topographic ICA, on the other hand, we assume that we cannot really find independent components; instead we can find groups of independen...

Ngày tải lên: 28/10/2013, 15:15

... into independent components. One can always obtain uncorrelated components, and this is what we obtain with FastICA. In image feature extraction, however, one can clearly see that the ICA components ... must note that ICA applied to image data usually gives one component representing the local mean image intensity, or the DC component. This component normally has a distribution that is...

Ngày tải lên: 28/10/2013, 15:15

... task? 407 Independent Component Analysis. Aapo Hyv ¨ arinen, Juha Karhunen, Erkki Oja Copyright  2001 John Wiley & Sons, Inc. ISBNs: 0-471-40540-X (Hardback); 0-471-22131-7 (Electronic) ANALYSIS ... sources corresponding to the independent components fell on the brain regions expected to be activated by the particular stimulus. Applications of ICA have been proposed for analysi...

Ngày tải lên: 07/11/2013, 09:15

... cubic nonlinearity, and it is applied componentwise to the elements of b m . 23 Telecommunications This chapter deals with applications of independent component analysis (ICA) and blind source separation ... user’s subsequent transmitted symbols are assumed to be independent, these products are also independent for a given user i . Denote the independent sources a 1m1 b 1m1 ::...

Ngày tải lên: 07/11/2013, 09:15

... time-varying underlying factor or independent component s j (t) on the measured time series is approximately linear. The assumption of having some underlying independent components in this spe- cific ... Applications In this chapter, we consider some further applications of independent component analysis (ICA), including analysis of financial time series and audio signal separatio...

Ngày tải lên: 07/11/2013, 09:15