3 papers
physics.med-ph2024
Convolutional Deep Operator Networks for Learning Nonlinear Focused Ultrasound Wave Propagation in Heterogeneous Spinal Cord Anatomy
Avisha Kumar, Xuzhe Zhi, Zan Ahmad +2
Focused ultrasound (FUS) therapy is a promising tool for optimally targeted treatment of spinal cord injuries (SCI), offering submillimeter precision to enhance blood flow at injur…
cs.LG2024
Diffeomorphic Latent Neural Operators for Data-Efficient Learning of Solutions to Partial Differential Equations
Zan Ahmad, Shiyi Chen, Minglang Yin +4
A computed approximation of the solution operator to a system of partial differential equations (PDEs) is needed in various areas of science and engineering. Neural operators have…
cs.LG2024
Graph Fourier Neural Kernels (G-FuNK): Learning Solutions of Nonlinear Diffusive Parametric PDEs on Multiple Domains
Shane E. Loeffler, Zan Ahmad, Syed Yusuf Ali +6
Predicting time-dependent dynamics of complex systems governed by non-linear partial differential equations (PDEs) with varying parameters and domains is a challenging task motivat…