Researchers have developed a new method called sketched tangent consistency loss (sTCL) for training neural operators. This technique allows for on-the-fly derivative-informed training, eliminating the need for slow and storage-intensive offline derivative labels. sTCL enforces sensitivity consistency directly from the governing equation using randomly sketched input perturbations, making it adaptable across different datasets and resolutions. The method has demonstrated comparable accuracy to existing offline methods across various equations, including Navier-Stokes, while significantly streamlining the training process. AI
IMPACT Streamlines the training of neural operators, potentially accelerating their use in inverse problems and control systems.
RANK_REASON Academic paper detailing a new method for training neural operators. [lever_c_demoted from research: ic=1 ai=1.0]
- Allen–Cahn equation
- Burgers
- DIFNO
- Navier–Stokes equations
- nonlinear diffusion-reaction
- Sketched Tangent Consistency
- St. Cloud State University
- Xinhan Yang
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