eprintid: 1433231 rev_number: 28 eprint_status: archive userid: 608 dir: disk0/01/43/32/31 datestamp: 2014-06-27 14:34:46 lastmod: 2021-12-21 23:11:33 status_changed: 2014-06-27 14:34:46 type: proceedings_section metadata_visibility: show item_issues_count: 0 creators_name: Póczos, B creators_name: Szabo, Z creators_name: Kiszlinger, M creators_name: Lőrincz, A title: Independent Process Analysis without A Priori Dimensional Information ispublished: pub divisions: UCL divisions: B02 divisions: C08 note: This is the authors' accepted version of this published article. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-540-74494-8_32 abstract: Recently, several algorithms have been proposed for independent subspace analysis where hidden variables are i.i.d. processes. We show that these methods can be extended to certain AR, MA, ARMA and ARIMA tasks. Central to our paper is that we introduce a cascade of algorithms, which aims to solve these tasks without previous knowledge about the number and the dimensions of the hidden processes. Our claim is supported by numerical simulations. As an illustrative application where the dimensions of the hidden variables are unknown, we search for subspaces of facial components. date: 2007-09-09 publisher: Springer-Verlag Heidelberg official_url: http://dx.doi.org/10.1007/978-3-540-74494-8_32 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: 956526 doi: 10.1007/978-3-540-74494-8_32 isbn_13: 978-3-540-74493-1 lyricists_name: Szabo, Zoltan lyricists_id: ZSZAB96 full_text_status: public volume: 4666 pagerange: 252 - 259 event_title: International Conference on Independent Component Analysis and Signal Separation (ICA) event_location: London, UK event_dates: 2007-09-09 - 2007-09-12 book_title: Independent Component Analysis and Signal Separation: Proceedings of the 7th International Conference, ICA 2007, London, UK, September 9-12, 2007 editors_name: Davies, ME editors_name: James, CJ editors_name: Abdallah, SA editors_name: Plumbley, MD citation: Póczos, B; Szabo, Z; Kiszlinger, M; Lőrincz, A; (2007) Independent Process Analysis without A Priori Dimensional Information. In: Davies, ME and James, CJ and Abdallah, SA and Plumbley, MD, (eds.) Independent Component Analysis and Signal Separation: Proceedings of the 7th International Conference, ICA 2007, London, UK, September 9-12, 2007. (pp. 252 - 259). Springer-Verlag Heidelberg Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1433231/2/poczos07independent.pdf