BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Asia/Tokyo X-LIC-LOCATION:Asia/Tokyo BEGIN:STANDARD TZOFFSETFROM:+0900 TZOFFSETTO:+0900 TZNAME:JST DTSTART:18871231T000000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20250110T023313Z LOCATION:Hall B7 (1)\, B Block\, Level 7 DTSTART;TZID=Asia/Tokyo:20241206T093400 DTEND;TZID=Asia/Tokyo:20241206T094600 UID:siggraphasia_SIGGRAPH Asia 2024_sess141_papers_776@linklings.com SUMMARY:Accelerate Neural Subspace-Based Reduced-Order Solver of Deformabl e Simulation by Lipschitz Optimization DESCRIPTION:Technical Papers\n\nAoran Lyu (South China University of Techn ology, University of Manchester); Shixian Zhao, Chuhua Xian, Zhihao Cen, a nd Hongmin Cai (South China University of Technology); and Guoxin Fang (Ch inese University of Hong Kong)\n\nReduced-order simulation is an emerging method for accelerating physical simulations with high DOFs, and recently developed neural-network-based methods with nonlinear subspaces have been proven effective in diverse applications as more concise subspaces can be detected. However, the complexity and landscape of simulation objectives w ithin the subspace have not been optimized, which leaves room for enhancem ent of the convergence speed. This work focuses on this point by proposing a general method for finding optimized subspace mappings, enabling furthe r acceleration of neural reduced-order simulations while capturing compreh ensive representations of the configuration manifolds. We achieve this by optimizing the Lipschitz energy of the elasticity term in the simulation o bjective, and incorporating the cubature approximation into the training p rocess to manage the high memory and time demands associated with optimizi ng the newly introduced energy. Our method is versatile and applicable to both supervised and unsupervised settings for optimizing the parameterizat ions of the configuration manifolds. We demonstrate the effectiveness of o ur approach through general cases in both quasi-static and dynamics simula tions. Our method achieves acceleration factors of up to 6.83 while consis tently preserving comparable simulation accuracy in various cases, includi ng large twisting, bending, and rotational deformations with collision han dling. This novel approach offers significant potential for accelerating p hysical simulations, and can be a good add-on to existing neural-network-b ased solutions in modeling complex deformable objects.\n\nRegistration Cat egory: Full Access, Full Access Supporter\n\nLanguage Format: English Lang uage\n\nSession Chair: Sheldon Andrews (École de technologie supérieure (É TS)) URL:https://asia.siggraph.org/2024/program/?id=papers_776&sess=sess141 END:VEVENT END:VCALENDAR