75962 20200513005825.0 doi 10.1155/2018/5608286 sideral 109051 ART-2018-109051 eng Ibanez, R. A Multidimensional Data-Driven Sparse Identification Technique: The Sparse Proper Generalized Decomposition 2018 Access copy available to the general public Unrestricted Sparse model identification by means of data is especially cumbersome if the sought dynamics live in a high dimensional space. This usually involves the need for large amount of data, unfeasible in such a high dimensional settings. This well-known phenomenon, coined as the curse of dimensionality, is here overcome by means of the use of separate representations. We present a technique based on the same principles of the Proper Generalized Decomposition that enables the identification of complex laws in the low-data limit. We provide examples on the performance of the technique in up to ten dimensions. info:eu-repo/grantAgreement/ES/MINECO/DPI2017-85139-C2-1-R info:eu-repo/grantAgreement/ES/MINECO/DPI2015-72365-EXP This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 675919-AdMoRe info:eu-repo/grantAgreement/EC/H2020/675919/EU/Empowered decision-making in simulation-based engineering: Advanced Model Reduction for real-time, inverse and optimization in industrial problems/AdMoRe info:eu-repo/grantAgreement/ES/DGA/T24-17R info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.591 2018 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 21 / 105 = 0.2 2018 Q1 T1 MULTIDISCIPLINARY SCIENCES 24 / 69 = 0.348 2018 Q2 T2 0.535 2018 Multidisciplinary 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Abisset-Chavanne, E. Ammar, A. (orcid)0000-0003-3003-5856 Gonzalez, D. Universidad de Zaragoza (orcid)0000-0003-1017-4381 Cueto, E. Universidad de Zaragoza Huerta, A. Duval, J.L. Chinesta, F. 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 18, 5608286 (2018), [11 pp] Complexity Complexity 1076-2787 685137 http://zaguan.unizar.es/record/75962/files/texto_completo.pdf Versión publicada 100993 http://zaguan.unizar.es/record/75962/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:75962 articulos driver 2020-05-13-00:51:29 ARTICLE