Szabo, Z;
Póczos, B;
Szirtes, G;
Lőrincz, A;
(2007)
Post Nonlinear Independent Subspace Analysis.
In: Sa, JM and Alexandre, LA and Duch, W and Mandic, DP, (eds.)
Artificial Neural Networks – ICANN 2007: Proceedings of the 17th International Conference, Porto, Portugal, September 9-13, 2007, Part I.
(pp. 677 - 686).
Springer-Verlag, Berlin Heidelberg
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Abstract
In this paper a generalization of Post Nonlinear Independent Component Analysis (PNL-ICA) to Post Nonlinear Independent Subspace Analysis (PNL-ISA) is presented. In this framework sources to be identified can be multidimensional as well. For this generalization we prove a separability theorem: the ambiguities of this problem are essentially the same as for the linear Independent Subspace Analysis (ISA). By applying this result we derive an algorithm using the mirror structure of the mixing system. Numerical simulations are presented to illustrate the efficiency of the algorithm.
| Type: | Proceedings paper |
|---|---|
| Title: | Post Nonlinear Independent Subspace Analysis |
| Event: | International Conference on Artificial Neural Networks (ICANN 2007) |
| Location: | Porto, Portugal |
| Dates: | 2007-09-09 - 2007-09-13 |
| ISBN-13: | 978-3-540-74689-8 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-540-74690-4_69 |
| Publisher version: | http://dx.doi.org/10.1007/978-3-540-74690-4_69 |
| Language: | English |
| Additional information: | The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-540-74690-4_69 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1433230 |
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