eprintid: 1433230 rev_number: 33 eprint_status: archive userid: 608 dir: disk0/01/43/32/30 datestamp: 2014-06-27 14:39:23 lastmod: 2021-12-21 23:11:32 status_changed: 2014-06-27 14:39:23 type: proceedings_section metadata_visibility: show item_issues_count: 0 creators_name: Szabo, Z creators_name: Póczos, B creators_name: Szirtes, G creators_name: Lőrincz, A title: Post Nonlinear Independent Subspace Analysis ispublished: pub divisions: UCL divisions: B02 divisions: C08 note: The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-540-74690-4_69 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. date: 2007-09-09 publisher: Springer-Verlag, Berlin Heidelberg official_url: http://dx.doi.org/10.1007/978-3-540-74690-4_69 vfaculties: VFLS oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_source: Manually entered elements_id: 956525 doi: 10.1007/978-3-540-74690-4_69 isbn_13: 978-3-540-74689-8 lyricists_name: Szabo, Zoltan lyricists_id: ZSZAB96 full_text_status: public volume: 4668 pagerange: 677 - 686 event_title: International Conference on Artificial Neural Networks (ICANN 2007) event_location: Porto, Portugal event_dates: 2007-09-09 - 2007-09-13 book_title: Artificial Neural Networks – ICANN 2007: Proceedings of the 17th International Conference, Porto, Portugal, September 9-13, 2007, Part I editors_name: Sa, JM editors_name: Alexandre, LA editors_name: Duch, W editors_name: Mandic, DP citation: 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 Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1433230/2/szabo07post.pdf document_url: https://discovery.ucl.ac.uk/id/eprint/1433230/3/szabo07post_presentation.pdf