Probabilistic Deep Learning for Real-Time Large Deformation Simulations
| Autor: | Saurabh Deshpande, Jakub Lengiewicz, Stéphane P.A. Bordas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
FOS: Computer and information sciences
Computer science [C05] [Engineering computing & technology] Computer Science - Machine Learning Mechanical Engineering finite element method Computational Mechanics General Physics and Astronomy Convolutional neural network Large deformations Sciences informatiques [C05] [Ingénierie informatique & technologie] Computer Science Applications Machine Learning (cs.LG) Computational Engineering Finance and Science (cs.CE) Bayesian deep learning Mechanics of Materials Real time simulations Computer Science - Computational Engineering Finance and Science |
| Zdroj: | info:eu-repo/grantAgreement/EC/H2020/764644 |
| Popis: | For many novel applications, such as patient-specific computer-aided surgery, conventional solution techniques of the underlying nonlinear problems are usually computationally too expensive and are lacking information about how certain can we be about their predictions. In the present work, we propose a highly efficient deep-learning surrogate framework that is able to accurately predict the response of bodies undergoing large deformations in real-time. The surrogate model has a convolutional neural network architecture, called U-Net, which is trained with force–displacement data obtained with the finite element method. We propose deterministic and probabilistic versions of the framework. The probabilistic framework utilizes the Variational Bayes Inference approach and is able to capture all the uncertainties present in the data as well as in the deep-learning model. Based on several benchmark examples, we show the predictive capabilities of the framework and discuss its possible limitations. |
| Databáze: | OpenAIRE |
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