Tài liệu Bài 12: ICA by Nonlinear Decorrelation and Nonlinear PCA doc

... 12 ICA by Nonlinear Decorrelation and Nonlinear PCA This chapter starts by reviewing some of the early research efforts in independent component analysis (ICA) , especially the ... shown [236] that the original nonlinear PCA criterion of Eq. (12.25) has an exact relationship with other contrast func- 252 ICA BY NONLINEAR DECORRELATION AND NONLINEAR PCA tions...

Ngày tải lên: 23/12/2013, 07:19

... nongaussianity by the central limit theorem. As a first practical measure of nongaussianity, we introduce the fourth-order cumulant, or kurtosis. Using kurtosis, we derive practical algorithms by gradient and ... functions G 1 and G 2 so that G 1 is odd and G 2 is even, and we obtain the following approximation: J (y )  k 1 (E fG 1 (y )g) 2 + k 2 (E fG 2 (y )gE fG 2 ( )g) 2 (8.2...

Ngày tải lên: 23/12/2013, 07:19

... Wj is constant, as proven in the Appendix, and thus the likelihood basically consists of the sum of n terms of the form optimized by FastICA. Thus 210 ICA BY MAXIMUM LIKELIHOOD ESTIMATION 1. Center ... is basically a corollary of the stability theorem in Section 8.3.4. 206 ICA BY MAXIMUM LIKELIHOOD ESTIMATION Theorem 9.1 Denote by ~p i the assumed densities of the independent co...

Ngày tải lên: 23/12/2013, 07:19

... slightly reduced. 224 ICA BY MINIMIZATION OF MUTUAL INFORMATION 10.3 MUTUAL INFORMATION AND LIKELIHOOD Mutual information and likelihood are intimately connected. To see the connection between likelihood and mutual ... functions and algorithms as in maximization of nongaussianity and maximum likelihood. The same gradient and fixed-point algorithms can be used to optimize mutual...

Ngày tải lên: 23/12/2013, 07:19

... decomposition on  , and the separating matrix is obtained immediately. FOBI is probably the simplest method for performing ICA. FOBI allows the com- putation of the ICA estimates using standard methods ... 0-471-22131-7 (Electronic) 230 ICA BY TENSORIAL METHODS properties of the cumulants as discussed in Section 2.7. The kurtosis of a linear combination is given by kurt X i w i x...

Ngày tải lên: 23/12/2013, 07:19

... physical world and the metaphysical realms. By the way, meta means beyond. Therefore, metaphysical means beyond the physical. Since physical reality is held within the context of the metaphysical, ... 2007 by HeartCore Corporation Wonderful. How does the distinction between physical and metaphysical tie in with our next step? What do you mean when you suggest we align? As we b...

Ngày tải lên: 15/12/2013, 05:15

... obtained by using a 7.5-MHz transducer with Medison Mysono 201 ® equipment. The US began within the first week of life, and then at 15 and 30 days. The following epidemiological and clinical ... regard to MSAF and MAS were disclosed in the National Institute of Neurological and Communicative Disorders and Stroke Collaborative Perinatal Project (CPP) of the late 1950s and...

Ngày tải lên: 19/02/2014, 22:20

... Từ “giấc mơ trở thành họa sĩ” Từ “giấc mơ trở thành họa sĩ” đến một nhà “độc tài, phát xít” đến một nhà “độc tài, phát xít” Biểu tình phản đối hiệp ước Versailles trước Quốc hội Đức Hitler ... quyền , Hitler sau khi nắm quyền , Hitler thiết lập nền chuyên chính độc tài , công thiết lập nền chuyên chính độc tài , công khai khủng bố các chính đảng tiến bộ, khai khủng bố các...

Ngày tải lên: 23/11/2013, 16:11

Ngày tải lên: 26/11/2013, 02:11

... ­ Learn the new words by heart and do exercises 1,2,3 in worbook. ­ Prepare for the next period “Unit  12 – A4,5,6,7.”  HOMEWORK * ... B _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _____ _ _ _ _ _ _ _ _ _ _ _ _ _____ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _____ C L O T H E S _____ * A1. Look, listen and repeat * A1. Look, listen and repeat Mai : Do you like that dress? Li Li : What colour is it? M...

Ngày tải lên: 26/11/2013, 23:11