Factor analysis as data matrix decomposition: a new approach for quasi-sphering in noisy ICA

Unkel, Steffen and Trendafilov, Nickolay (2009). Factor analysis as data matrix decomposition: a new approach for quasi-sphering in noisy ICA. In: Adali, Tülay; Jutten, Christian; Romano, João MarcosTravassos and Barros, Allan Kardec eds. Independent Component Analysis and Signal Separation: 8th International Conference, ICA 2009, Paraty, Brazil, March 15-18, 2009. Proceedings. Lecture Notes in Computer Science (5441). Berlin: Springer, pp. 163–170.

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URL:	http://www.springerlink.com/content/149164n22637l0...
DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1007/978-3-642-00599-2_21
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Abstract

In this paper, a new approach for quasi-sphering in noisy ICA by means of exploratory factor analysis (EFA) is introduced. The EFA model is considered as a novel form of data matrix decomposition. By factoring the data matrix, estimates for all EFA model parameters are obtained simultaneously. After the preprocessing, an existing ICA algorithm can be used to rotate the sphered factor scores towards independence. An application to climate data is presented to illustrate the proposed approach.

Item Type:	Book Chapter
Copyright Holders:	2009Springer-Verlag
ISBN:	3-642-00599-3, 978-3-642-00599-2
Keywords:	noisy ICA; exploratory factor analysis; less observations than variables; factor rotation; procrustes problems; climate anomalies
Academic Unit/Department:	Mathematics, Computing and Technology Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	22513
Depositing User:	Sarah Frain
Date Deposited:	02 Sep 2010 15:38
Last Modified:	03 Dec 2012 12:05
URI:	http://oro.open.ac.uk/id/eprint/22513

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