Artículo
An unsupervised data completion method for physically-based data-driven models
Autor/es | Ayensa Jiménez, Jacobo
Doweidar, Mohamed Hamdy Sanz Herrera, José Antonio Doblaré, M. |
Departamento | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Fecha de publicación | 2019-02 |
Fecha de depósito | 2024-01-24 |
Publicado en |
|
Resumen | Data-driven methods are an innovative model-free approach for engineering and sciences, still in process of maturation. The idea behind is the combination of data analytics techniques, to handle the huge amount of data ... Data-driven methods are an innovative model-free approach for engineering and sciences, still in process of maturation. The idea behind is the combination of data analytics techniques, to handle the huge amount of data derived from continuous monitoring or experimental measurements, and of the constraints imposed by universal physical laws, particular to the field in hands. A well-known problem in the former corresponds to the quality and completeness of the available data that, sometimes, are so poor that make the predictions useless. In data-driven simulation-based engineering and sciences (DDSBES), the intrinsic physical constraints may help in completing the missing data in a more precise manner, by forcing them to remain in the manifold defined by the physical laws. In this work, a suitable imputation method to complete incomplete data that preserves the data context-dependent structure is presented. This is accomplished by enforcing the data to fulfill the set of physical constraints, specific to the problem. For this purpose, a generalization of the weighted mean concept is proposed, where the distance to the admissible points (in a physical sense) is used as a weighting function to get the optimal candidate. The method is evaluated in a classical regression problem, where it is compared with other standard methods, showing better results. Then, its application is illustrated in two data-driven problems, where no filling data procedure has been yet proposed, showing good predictive capability, provided that the data are close enough to the actual system state. © 2018 Elsevier B.V. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Agencia Estatal de Investigación. España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Instituto de Salud Carlos III |
Identificador del proyecto | MAT2016-76039-C4-4-R
DGA-T24 17R |
Cita | Ayensa-Jiménez, J., Doweidar, M.H., Sanz-Herrera, J.A. y Doblaré, M. (2019). An unsupervised data completion method for physically-based data-driven models. Computer Methods in Applied Mechanics and Engineering, 344, 120-143. https://doi.org/10.1016/j.cma.2018.09.035. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
CMAME_2019_Ayensa_Sanz-Herrera_An ... | 933.6Kb | [PDF] | Ver/ | |