Transformers as neural operators for solutions of differential equations with finite regularity

Computer Methods in Applied Mechanics and Engineering, Год журнала: 2024, Номер 434, С. 117560 - 117560

Опубликована: Ноя. 28, 2024

Язык: Английский

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Large Scale Scattering Using Fast Solvers Based on Neural Operators

Опубликована: Янв. 1, 2024

We extend a recently proposed machine-learning-based iterative solver, i.e. the hybrid transferable solver (HINTS), to solve scattering problem described by Helmholtz equation in an exterior domain with complex absorbing boundary condition. The HINTS method combines neural operators (NOs) standard solvers, e.g. Jacobi and Gauss-Seidel (GS), achieve better performance leveraging spectral bias of networks. In HINTS, some iterations conventional are replaced inferences pre-trained NO. this work, we employ for both 2D 3D problems, where fails. consider square triangular scatterers various sizes 2D, cube model submarine 3D. explore illustrate extrapolation capability handling diverse geometries scatterer, which is achieved training NO on non-scattering scenarios then deploying it problems. accurate results demonstrate that remains effective without need retraining or fine-tuning whenever new scatterer given. Taken together, our highlight adaptability versatility extended methodology addressing

Язык: Английский

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Vision transformer with feature calibration and selective cross-attention for brain tumor classification

Iran Journal of Computer Science, Год журнала: 2024, Номер unknown

Опубликована: Дек. 31, 2024

Язык: Английский

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Superstep wavefield propagation

Wave Motion, Год журнала: 2025, Номер unknown, С. 103489 - 103489

Опубликована: Янв. 1, 2025

Язык: Английский

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ODE-DPS: ODE-Based Diffusion Posterior Sampling for Linear Inverse Problems in Partial Differential Equation

Journal of Scientific Computing, Год журнала: 2025, Номер 102(3)

Опубликована: Янв. 25, 2025

Язык: Английский

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An Intelligent Prediction Method for Supersonic Flow Field in Scramjet Isolator Enhanced by Feature Details

Aerospace Science and Technology, Год журнала: 2025, Номер unknown, С. 110116 - 110116

Опубликована: Март 1, 2025

Язык: Английский

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DACFusion: Dual Asymmetric Cross-Attention guided feature fusion for multispectral object detection

Neurocomputing, Год журнала: 2025, Номер unknown, С. 129913 - 129913

Опубликована: Март 1, 2025

Язык: Английский

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Sequential infinite-dimensional Bayesian optimal experimental design with derivative-informed latent attention neural operator

Journal of Computational Physics, Год журнала: 2025, Номер unknown, С. 113976 - 113976

Опубликована: Апрель 1, 2025

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Real-time inference and extrapolation with Time-Conditioned UNet: Applications in hypersonic flows, incompressible flows, and global temperature forecasting

Computer Methods in Applied Mechanics and Engineering, Год журнала: 2025, Номер 441, С. 117982 - 117982

Опубликована: Апрель 15, 2025

Язык: Английский

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Physics-informed machine learning in geotechnical engineering: a direction paper

Geomechanics and Geoengineering, Год журнала: 2025, Номер unknown, С. 1 - 32

Опубликована: Май 22, 2025

Язык: Английский

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