Neural operator is a novel deep learning architecture. It learns an operator, which is a mapping between infinite-dimensional function spaces. It can be used to resolve partial differential equations (PDE). Instead of solving by finite element method, a PDE problem can be resolved by training a neural network to learn an operator mapping from infinite-dimensional space (u, t) to infinite-dimensional space f(u, t). Neural operator learns a continuous function between two continuous function spaces. The kernel can be trained on different geometry, which is learned from a graph. Fourier neural operator learns a neural operator with Dirichlet kernel to form a Fourier transformation. It performs Fourier transformation across infinite-dimensional function spaces and learns better than neural operators. Markov neural operator learns a neural operator with Fourier operators.

Features

  • Fourier Neural Operator
  • Examples available
  • Documentation available
  • Markov neural operator learns a neural operator with Fourier operators
  • DeepONet operator (Deep Operator Network) learns a neural operator
  • You can again specify loss, optimization and training parameters just as you would for a simple neural network with Flux

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License

MIT License

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Additional Project Details

Programming Language

Julia

Related Categories

Julia Data Visualization Software

Registered

2023-11-21