Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 344, Issue -, Pages 120-143Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2018.09.035
Keywords
Data-driven methods; Data completion; Statistical imputation; Weighted mean; Computational mechanics
Funding
- Spanish Ministry of Economy and Competitiveness (AEI/FEDER, UE) [MINECO MAT2016-76039-C4-4-R]
- Government of Aragon [DGA-T24_17R]
- Biomedical Research Networking Center in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN)
- Instituto de Salud Carlos III
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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. (C) 2018 Elsevier B.V. All rights reserved.
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