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Artificial Intelligence

神经算子

Neural Operators

A class of deep learning architectures designed to learn mappings between function spaces, enabling the solution of partial differential equations (PDEs) and the modeling of physical systems without discretizing the underlying domain. / 一类深度学习架构,旨在学习函数空间之间的映射,无需对底层域进行离散化即可求解偏微分方程(PDE)和建模物理系统。

Knowledge type
数学理论
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-10-28 19:02:26
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Sub-knowledge points

Physics-Informed Neural Networks (PINNs) / 数学理论Operator LearningDeepONetFourier Neural Operator (FNO)

Higher-order knowledge points

Main parameters and performance indicators

Physics-informed: Incorporates physical laws into the loss functionFourier Neural Operator (FNO): A specific architecture using Fourier transformsDeepONet: Branch and trunk network architecture

Open problems

Generalization to out-of-distribution dataComputational efficiency for real-time applicationsInterpretability of learned operators

Related literature

ranked by community stars
Neural operators for power systems: A physics-informed framework for modeling power system componentsOpen source

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Creation and modification trail

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automated knowledge publish农场主2026-10-28 19:02:28

Record title: Neural Operators.