SciML / SciML/NeuralOperators.jl

Implement Transolver (Physics-Attention Transformer Solver)

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

Description

Summary

Implement Transolver, which introduces Physics-Attention that decomposes discretized domains into learnable physical-state slices.

Reference

  • Wu et al., "Transolver: A Fast Transformer Solver for PDEs on General Geometries," ICML 2024. arXiv:2402.02366

Description

Transolver introduces "Physics-Attention" that groups mesh points into learnable slices based on similar physical states (rather than spatial proximity). Attention is applied to these physics-aware tokens, which better captures intricate physical correlations than raw mesh-point attention. Works on general geometries without requiring regular grids.

Key innovation: Instead of attending over all mesh points (quadratic cost), it learns to partition the domain into a small number of physically meaningful slices and operates on those.

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 ICML 2024 paper and its arXiv version to understand Transolver and Physics-Attention. The issue names no files, tests, or entry points; done means implementing the described physics-aware slicing and attention solver in NeuralOperators.jl.

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
Needs clarification
Newbie friendliness
25/100

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