Latent‐space Dynamics for Reduced Deformable Simulation. (7th June 2019)

• Record Type: Journal Article
• Authors: Fulton, Lawson; Modi, Vismay; Duvenaud, David; Levin, David I. W.; Jacobson, Alec
• Is Part Of: Computer graphics forum. Volume 38:Number 2(2019)
• Page Start: 379
• Page End: 391
• Publication Date: 2019-06-07
• Subjects: CCS Concepts -- Computing methodologies → Physical simulation -- Dimensionality reduction and manifold learning; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.13645
• Languages: English
• ISSNs: 0167-7055

Abstract

Abstract: We propose the first reduced model simulation framework for deformable solid dynamics using autoencoder neural networks. We provide a data‐driven approach to generating nonlinear reduced spaces for deformation dynamics. In contrast to previous methods using machine learning which accelerate simulation by approximating the time‐stepping function, we solve the true equations of motion in the latent‐space using a variational formulation of implicit integration. Our approach produces drastically smaller reduced spaces than conventional linear model reduction, improving performance and robustness. Furthermore, our method works well with existing force‐approximation cubature methods.