PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Separation theorem for independent subspace analysis and its consequences
Zoltan Szabo, Barnabas Poczos and András Lorincz
Pattern Recognition Volume 45, Number 4, pp. 1782-1791, 2012.

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Abstract

Independent component analysis (ICA)---the theory of mixed, independent, non-Gaussian sources---has a central role in signal processing, computer vision and pattern recognition. One of the most fundamental conjectures of this research field is that independent subspace analysis (ISA)---the extension of the ICA problem, where groups of sources are independent---can be solved by traditional ICA followed by grouping the ICA components. The conjecture, called ISA separation principle, (i) has been rigorously proven for some distribution types recently, (ii) forms the basis of the state-of-the-art ISA solvers, (iii) enables one to estimate the unknown number and the dimensions of the sources efficiently, and (iv) can be extended to generalizations of the ISA task, such as different linear-, controlled-, post nonlinear-, complex valued-, partially observed problems, as well as to problems dealing with nonparametric source dynamics. Here, we shall review the advances on this field.

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EPrint Type:Article
Additional Information:http://dx.doi.org/10.1016/j.patcog.2011.09.007
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Computational, Information-Theoretic Learning with Statistics
Learning/Statistics & Optimisation
Theory & Algorithms
ID Code:8453
Deposited By:Zoltan Szabo
Deposited On:18 January 2012

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