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  ICA with Sparse Connections: Revisited

Zhang, K., Peng, H., Chan, L., & Hyvärinen, A. (2009). ICA with Sparse Connections: Revisited. In T. Adali, C. Jutten, J. Romano Travassos, & A. Barros Kardec (Eds.), Independent Component Analysis and Signal Separation: 8th International Conference, ICA 2009, Paraty, Brazil, March 15-18, 2009 (pp. 195-202). Berlin, Germany: Springer.

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 Creators:
Zhang, K1, Author           
Peng, H, Author
Chan, L, Author
Hyvärinen, A, Author
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 Abstract: When applying independent component analysis (ICA), sometimes we expect the connections between the observed mixtures and the recovered independent components (or the original sources) to be sparse, to make the interpretation easier or to reduce the random effect in the results. In this paper we propose two methods to tackle this problem. One is based on adaptive Lasso, which exploits the L 1 penalty with data-adaptive weights. We show the relationship between this method and the classic information criteria such as BIC and AIC. The other is based on optimal brain surgeon, and we show how its stopping criterion is related to the information criteria. This method produces the solution path of the transformation matrix, with different number of zero entries. These methods involve low computational loads. Moreover, in each method, the parameter controlling the sparsity level of the transformation matrix has clear interpretations. By setting such parameters to certain values, the results of the proposed methods are consistent with those produced by classic information criteria.

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 Dates: 2009-03
 Publication Status: Issued
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 Identifiers: DOI: 10.1007/978-3-642-00599-2_25
BibTex Citekey: ZhangPCH2009
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Title: 8th International Conference on Independent Component Analysis and Signal Separation (ICA 2009)
Place of Event: Paraty, Brazil
Start-/End Date: 2009-03-15 - 2009-03-18

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Title: Independent Component Analysis and Signal Separation: 8th International Conference, ICA 2009, Paraty, Brazil, March 15-18, 2009
Source Genre: Proceedings
 Creator(s):
Adali, T, Editor
Jutten, C, Editor
Romano Travassos, JM, Editor
Barros Kardec, A, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 195 - 202 Identifier: ISBN: 978-3-642-00599-2

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Title: Lecture Notes in Computer Science
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Pages: - Volume / Issue: 5441 Sequence Number: - Start / End Page: - Identifier: -