Separation theorem for independent subspace analysis and its consequences
نویسندگان
چکیده
منابع مشابه
Separation theorem for independent subspace analysis and its consequences
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 eld 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...
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Here, a separation theorem about Independent Subspace Analysis (ISA), a generalization of Independent Component Analysis (ICA) is proven. According to the theorem, ISA estimation can be executed in two steps under certain conditions. In the first step, 1-dimensional ICA estimation is executed. In the second step, optimal permutation of the ICA elements is searched for. We shall show that ellipt...
متن کاملSeparation Theorem for Independent Subspace Analysis with Sufficient Conditions
Here, a separation theorem about Independent Subspace Analysis (ISA), a generalization of Independent Component Analysis (ICA) is proven. According to the theorem, ISA estimation can be executed in two steps under certain conditions. In the first step, 1-dimensional ICA estimation is executed. In the second step, optimal permutation of the ICA elements is searched for. We present sufficient con...
متن کاملSeparation Theorem for K-Independent Subspace Analysis with Sufficient Conditions
Abstract. Here, a Separation Theorem about K-Independent Subspace Analysis (K ∈ {R,C} real or complex), a generalization of K-Independent Component Analysis (K-ICA) is proven. According to the theorem, K-ISA estimation can be executed in two steps under certain conditions. In the first step, 1-dimensional K-ICA estimation is executed. In the second step, optimal permutation of the K-ICA element...
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Let T be a compact Hausdorff topological space and let M denote an n–dimensional subspace of the space C(T ), the space of real–valued continuous functions on T and let the space be equipped with the uniform norm. Zukhovitskii [7] attributes the Basic Theorem to E.Ya.Remez and gives a proof by duality. He also gives a proof due to Shnirel’man, which uses Helly’s Theorem, now the paper obtains a...
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ژورنال
عنوان ژورنال: Pattern Recognition
سال: 2012
ISSN: 0031-3203
DOI: 10.1016/j.patcog.2011.09.007