Cel Today's state-of-the-art methods for data processing are model based. We propose a fundamentally new approach that does not depend on an explicit model representation and can be used for model-free data processing. From a theoretical point of view, the prime advantage of the newly proposed paradigm is conceptual unification of existing methods. From a practical point of view, the proposed paradigm opens new possibilities for development of computational methods for data processing.The underlying computational tool in the proposed setting is low-rank approximation. Recent work by the applicant, co-workers, and others has demonstrated advantages of computational methods based on low-rank approximation over classical methods, based on solution of linear systems of equations. In this proposal, we will further advance the theory and algorithms for low-rank approximation by developing robust and efficient local optimisation methods and methods based on convex relaxations.Low-rank approximation has applications in systems and control, signal processing, computer algebra, and machine learning, to name a few. Generic examples in system theory and signal processing are model reduction and system identification. Dimensionality reduction, classification, and information retrieval problems in machine learning can be formulated and solved as low-rank approximation problems, thus benefiting from the theory, algorithms, and numerical software tools developed in this research proposal. Beyond the scope of the proposal, we envisage that the newly proposed paradigm will catalyse cross-disciplinary research, leading to selection of the best theoretical tools and computational methods available as well as development of new ones by a synergy of ideas from different application domains. Dziedzina nauki engineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringsignal processingnatural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsalgebranatural sciencescomputer and information sciencesartificial intelligencemachine learningnatural sciencescomputer and information sciencesdata sciencedata processing Program(-y) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) ERC-SG-PE7 - ERC Starting Grant - Systems and communication engineering Zaproszenie do składania wniosków ERC-2010-StG_20091028 Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-SG - ERC Starting Grant Instytucja przyjmująca VRIJE UNIVERSITEIT BRUSSEL Wkład UE € 563 852,00 Adres PLEINLAAN 2 1050 Bruxelles / Brussel Belgia Zobacz na mapie Region Région de Bruxelles-Capitale/Brussels Hoofdstedelijk Gewest Région de Bruxelles-Capitale/ Brussels Hoofdstedelijk Gewest Arr. de Bruxelles-Capitale/Arr. Brussel-Hoofdstad Rodzaj działalności Higher or Secondary Education Establishments Kierownik naukowy Ivan Valentinov Markovsky (Dr.) Kontakt administracyjny Nik Claesen (Mr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych Beneficjenci (2) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko VRIJE UNIVERSITEIT BRUSSEL Belgia Wkład UE € 563 852,00 Adres PLEINLAAN 2 1050 Bruxelles / Brussel Zobacz na mapie Region Région de Bruxelles-Capitale/Brussels Hoofdstedelijk Gewest Région de Bruxelles-Capitale/ Brussels Hoofdstedelijk Gewest Arr. de Bruxelles-Capitale/Arr. Brussel-Hoofdstad Rodzaj działalności Higher or Secondary Education Establishments Kierownik naukowy Ivan Valentinov Markovsky (Dr.) Kontakt administracyjny Nik Claesen (Mr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych UNIVERSITY OF SOUTHAMPTON Zakończenie uczestnictwa Zjednoczone Królestwo Wkład UE € 219 108,00 Adres Highfield SO17 1BJ Southampton Zobacz na mapie Region South East (England) Hampshire and Isle of Wight Southampton Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny David Woolley (Mr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
