no code implementations • 18 Jul 2023 • Oded Ovadia, Vivek Oommen, Adar Kahana, Ahmad Peyvan, Eli Turkel, George Em Karniadakis
The proposed method, named Diffusion-inspired Temporal Transformer Operator (DiTTO), is inspired by latent diffusion models and their conditioning mechanism, which we use to incorporate the temporal evolution of the PDE, in combination with elements from the transformer architecture to improve its capabilities.
no code implementations • 15 Mar 2023 • Oded Ovadia, Adar Kahana, Panos Stinis, Eli Turkel, George Em Karniadakis
We combine vision transformers with operator learning to solve diverse inverse problems described by partial differential equations (PDEs).
no code implementations • 28 Aug 2022 • Enrui Zhang, Adar Kahana, Eli Turkel, Rishikesh Ranade, Jay Pathak, George Em Karniadakis
Based on recent advances in scientific deep learning for operator regression, we propose HINTS, a hybrid, iterative, numerical, and transferable solver for differential equations.
no code implementations • 7 Aug 2022 • Adar Kahana, Symeon Papadimitropoulos, Eli Turkel, Dmitry Batenkov
Inverse source problems are central to many applications in acoustics, geophysics, non-destructive testing, and more.
no code implementations • 22 May 2022 • Oded Ovadia, Adar Kahana, Eli Turkel
We propose an accurate numerical scheme for approximating the solution of the two dimensional acoustic wave problem.