Physics and Data Driven Transformer-Mamba Framework for Flow Field

arXiv:2609.29087 · cs.LG · Submitted 2026-09-24 · Read on arXiv

cs.LG

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Transformer — 11× in this paper · explained in 2 episodes
• DeepONet — 10× in this paper · explained in 2 episodes
• Residual Wavelet Mamba — 10× in this paper
• Accuracy — 6× in this paper · explained in 1 episode
• Generalization — 6× in this paper · explained in 13 episodes
• Loss Function — 5× in this paper · explained in 2 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Attention Mechanism — 4× in this paper · explained in 3 episodes
• Ablation study — 3× in this paper · explained in 1 episode
• Decoupling — 2× in this paper · explained in 2 episodes
• Sparse Attention — 2× in this paper · explained in 5 episodes
• Ablation Studies — 1× in this paper · explained in 1 episode
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Aggregation — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Feature Extraction — 1× in this paper · explained in 2 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Multimodal Fusion — 1× in this paper · explained in 3 episodes
• Physics-Informed Neural Networks (PINNs) — 1× in this paper · explained in 6 episodes
• Representation Learning — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Vision State-Space Module — 1× in this paper
• Wavelet Transform — 1× in this paper · explained in 2 episodes

Sources

• Fourier Neural Operator for Parametric Partial Differential Equations
• Vision Mamba: Efficient Visual Representation Learning with Bidirectional State Space Model
• TransUNet: Transformers Make Strong Encoders for Medical Image Segmentation
• U-Mamba: Enhancing Long-range Dependency for Biomedical Image Segmentation
• VM-UNet: Vision Mamba UNet for Medical Image Segmentation
• Mamba-UNet: UNet-Like Pure Visual Mamba for Medical Image Segmentation

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