SciML / SciML/NeuralOperators.jl

Implement Adaptive Fourier Neural Operator (AFNO)

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Dominant language
Julia
Stars
41
Forks
15
Avg merge
13h 14m
Merged PRs (30d)
12

Description

Summary

Implement AFNO, which bridges vision transformers and neural operators via Fourier-domain token mixing.

Reference

  • Guibas et al., "Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers," ICLR 2022. arXiv:2111.13587

Description

AFNO uses block-diagonal structure in Fourier space with adaptive weight sharing and soft-thresholding sparsification for token mixing. This achieves quasi-linear complexity and provides an efficient alternative to standard self-attention. It is the backbone of FourCastNet for global weather forecasting.

Key components:

  • Fourier-domain token mixing (FFT → block-diagonal multiply → soft-threshold → IFFT)
  • Block-diagonal weight structure with adaptive sharing
  • Sparsification via soft-thresholding in Fourier space

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reading the linked Guibas et al. AFNO paper and comparing its FFT, block-diagonal mixing, soft-thresholding, and IFFT steps with the repository's existing neural-operator implementations. Done means AFNO is implemented with adaptive weight sharing and Fourier-space sparsification as described in the issue, with behavior validated against the reference design.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
machine-learning
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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