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UID:submissions.pasc-conference.org_PASC22_sess181_pos122@linklings.com
SUMMARY:P11 - Real-Time Large Deformation Simulations using Probabilistic 
 Deep Learning Framework
DESCRIPTION:Poster\n\nP11 - Real-Time Large Deformation Simulations using 
 Probabilistic Deep Learning Framework\n\nDeshpande, Lengiewicz, Bordas\n\n
 Several engineering applications rely on the predictive capabilities of co
 mputational models. Some of these applications, like biomedical simulation
 s, require computationally efficient or even real-time solutions. Conventi
 onal methods for solving the underlying nonlinear problems, such as the Fi
 nite Element Method are computationally far too expensive. In this work, w
 e propose a probabilistic deep learning surrogate framework that is capabl
 e of accurately and efficiently predicting non-linear deformations of bodi
 es together with the predictions’ uncertainties. The framework uses a spec
 ial convolutional neural network architecture (U-Net), which has strong re
 semblances to Finite Element multigrid methods and proves to be capable of
  capturing non-linear responses characteristic to large deformation regime
 s. Our surrogate framework directly takes the Finite Element nodal forces 
 at the neural network input to give nodal displacements at its output. The
  probabilistic part of the framework is based on a dedicated Variational I
 nference formulation, with which we are not only able to efficiently captu
 re uncertainties related to noisy data, but we also have knowledge about t
 he model uncertainties—which is especially important in regions not well s
 upported by the data (e.g., the extrapolated region). Hence our framework 
 acts as an important step towards making real-time large deformation simul
 ations more trustworthy.
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