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Enhancing Fourier Neural Operator: variable modes and positional encoding (UCL final-year project)

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Enhancing Fourier Neural Operator (FNO)

The files fourier_1d.ipynb and fourier_2d.ipynb are the original implementation of FNO for Burgers' Equation and Darcy Flow respectively.

Burgers Equation

Models in the report can be found in:

  • Original FNO: proposal/burgers/v20/hfno-1d.ipynb
  • Proposed FNO: proposal/burgers/v8/hfno-1d.ipynb

Darcy Flow

Models in the report can be found in:

  • Original FNO: fourier_2d.ipynb
  • Proposed FNO v1: proposal/darcy/v14/hfno-2d.ipynb
  • Proposed FNO v2: proposal/darcy/v18/hfno-2d.ipynb
  • Proposed FNO v3: proposal/darcy/v22/hfno-2d.ipynb

Datasets

  1. Download Burgers_R10.zip for Burgers and Darcy_421.zip for Darcy Flow from this Google Drive Link
  2. Unzip the files
  3. Create a directory burgers and darcy421 in the root directory
  4. Move the unzipped files to the respective directories

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Enhancing Fourier Neural Operator: variable modes and positional encoding (UCL final-year project)

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