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Adaptive RLS Implementation of Non-negative PCA Algorithm for Blind Source Separation

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Advances in Neural Networks – ISNN 2004 (ISNN 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3173))

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Abstract

Recently, Plumbley and Oja presented a non-negative PCA algorithm, which performs blind separation of non-negative well-grounded sources using a rectification nonlinearity. The algorithm is based on an ordinary gradient learning, and the observations require prewhitening by eigenvalue decomposition. In this paper, we apply our previously developed natural-gradient-based RLS algorithm to optimize the non-negative PCA criterion. In addition, we propose here an RLS-type preprocessing algorithm, which can whiten the data in terms of covariance matrix. These two algorithms are adaptive, and can work in a cascade mode. The validity of the new implementation is confirmed through computer simulations.

This work was supported in part by the Chinese Postdoctoral Science Foundation and in part by the Foundation of Intel China Research Center.

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© 2004 Springer-Verlag Berlin Heidelberg

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Zhu, XL., Zhang, XD., Jia, Y. (2004). Adaptive RLS Implementation of Non-negative PCA Algorithm for Blind Source Separation. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_125

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  • DOI: https://doi.org/10.1007/978-3-540-28647-9_125

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22841-7

  • Online ISBN: 978-3-540-28647-9

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