Cluster Attention Neural Operators for Solving Parametric Partial Differential Equations
math-ph, cs.AI, cs.LG, math.DS, math.MP
Submitted: 2026-09-30
Updated: 2026-09-30
Code: https://github.com/zhongming12342/CANO
Sources
- Fourier Neural Operator for Parametric Partial Differential Equations
- Transformer for Partial Differential Equations' Operator Learning
- Improved Operator Learning by Orthogonal Attention
- Linformer: Self-Attention with Linear Complexity
- CViT: Continuous Vision Transformer for Operator Learning
- An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
- Transolver: A Fast Transformer Solver for PDEs on General Geometries
- Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries
- X-MeshGraphNet: Scalable Multi-Scale Graph Neural Networks for Physics Simulation
- AB-UPT: Scaling Neural CFD Surrogates for High-Fidelity Automotive Aerodynamics Simulations via Anchored-Branched Universal Physics Transformers
- Learning Neural Operators on Riemannian Manifolds
- Factorized Fourier Neural Operators
- U-NO: U-shaped Neural Operators
- Solving High-Dimensional PDEs with Latent Spectral Models
- Holistic Physics Solver: Learning PDEs in a Unified Spectral-Physical Space
- An Efficient Graph-Transformer Operator for Learning Physical Dynamics with Manifolds Embedding
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