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Neural Operators are mappings between (discretized) function spaces, like from the IC of a PDE to its solution at a later point in time.
YouTube-Machine Learning & Simulation
2023/12/18動画の見どころ1/23枚目 Intro
動画の見どころ2/23枚目 What are Neural Operators?
動画の見どころ3/23枚目 About FNOs and their multiscale property
動画の見どころ4/23枚目 About Spectral Convolutions
動画の見どころ5/23枚目 A "Fourier Layer"
動画の見どころ6/23枚目 Stacking Layers with Lifting & Projection
動画の見どころ7/23枚目 Our Example: Solving the 1d Burgers equation
動画の見どころ8/23枚目 Minor technicalities
動画の見どころ9/23枚目 Installing and Importing packages
動画の見どころ10/23枚目 Obtaining the dataset and reading it in
動画の見どころ11/23枚目 Plot and Discussion of the dataset
動画の見どころ12/23枚目 Prepare training & test data
動画の見どころ13/23枚目 Implementing Spectral Convolution
動画の見どころ14/23枚目 Implementing a Fourier Layer/Block
動画の見どころ15/23枚目 Implementing the full FNO
動画の見どころ16/23枚目 A simple dataloader in JAX
動画の見どころ17/23枚目 Loss Function & Training Loop
動画の見どころ18/23枚目 Visualize loss history
動画の見どころ19/23枚目 Test prediction with trained FNO
動画の見どころ20/23枚目 Zero-Shot superresolution
動画の見どころ21/23枚目 Compute error as reported in FNO paper
動画の見どころ22/23枚目 Summary
動画の見どころ23/23枚目 Outro
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