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README.md

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+---
+license: mit
+tags:
+  - fno
+  - neural-operator
+  - pdebench
+  - pde
+  - scientific-ml
+---
+
+# PDEBench FNO Re-evaluation: Model Weights
+
+Pre-trained model checkpoints from "The Unrealized Potential of Fourier Neural Operators: A Systematic Re-evaluation of PDEBench Baselines" (NeurIPS 2026 E&D Track submission).
+
+## Files
+
+| File | Test | PDE | nRMSE | Improvement |
+|------|------|-----|-------|-------------|
+| `test_01_best_model.pt` | 1 | Advection β=1.0 | 4.68e-3 | 2.07× |
+| `test_02_best_model.pt` | 2 | Burgers ν=0.1 | 1.41e-3 | 2.05× |
+| `test_03_best_model.pt` | 3 | 1D Diff-React ν=0.5 | 1.23e-3 | 1.13× |
+| `test_04_best_model.pt` | 4 | Burgers ν=0.001 | 1.08e-2 | 2.69× |
+| `test_05_best_model.pt` | 5 | 1D Comp NS η=ζ=0.01 | 1.56e-2 | 6.08× |
+| `test_06_best_model.pt` | 6 | 1D Comp NS Shock | 1.32e-2 | 3.57× |
+| `test_07_best_model.pt` | 7 | Advection β=0.1 | 3.29e-3 | 2.34× |
+| `test_08_best_model.pt` | 8 | Advection β=0.4 | 4.60e-3 | 2.18× |
+| `test_09_best_model.pt` | 9 | Advection β=4.0 | 4.65e-3 | 1.44× |
+| `test_10_best_model.pt` | 10 | Burgers ν=0.01 | 4.16e-3 | 1.87× |
+| `test_11_best_model.pt` | 11 | Burgers ν=1.0 | 4.18e-3 | 0.96× (miss) |
+| `test_13_best_model.pt` | 13 | 1D Diff-React ν=2.0 | 3.45e-4 | 2.03× |
+| `test_16_best_model.pt` | 16 | Diff-Sorp | 9.95e-4 | 1.71× |
+| `test_17_best_model.pt` | 17 | 1D Comp NS η=ζ=0.1 | 6.76e-3 | 10.05× |
+| `test_19_best_model.pt` | 19 | 1D Comp NS Inv Rand | 3.00e-2 | 4.00× |
+| `test_20_best_model.pt` | 20 | 1D Comp NS Inv Outg | 2.36e-1 | 28.44× |
+| `test_21_best_model.pt` | 21 | Darcy β=0.01 | 2.67e-1 | 9.36× |
+| `test_22_best_model.pt` | 22 | Darcy β=0.1 | 1.18e-1 | 1.87× |
+| `test_23_best_model.pt` | 23 | Darcy β=1.0 | 2.77e-2 | 2.31× |
+| `test_24_best_model.pt` | 24 | Darcy β=10.0 | 1.15e-2 | 1.04× |
+| `test_25_best_model.pt` | 25 | Darcy β=100.0 | 9.50e-3 | 0.54× (miss) |
+| `test_26_best_model.pt` | 26 | 2D Diff-React | 2.49e-3 | 48.21× |
+| `test_27_best_model.pt` | 27 | 2D SWE | 1.90e-3 | 2.31× |
+| `test_29_best_model.pt` | 29 | 2D Comp CFD | 3.98e-3 | 42.75× |
+
+## Usage
+
+```python
+import torch
+from standalone.models import FNO1d_AR  # from the code repo
+
+model = FNO1d_AR(nc=1, modes=12, width=32, init_step=5, n_layers=4)
+model.load_state_dict(torch.load("test_13_best_model.pt", weights_only=True))
+```
+
+## Baselines
+
+All improvement factors computed against PDEBench FNO (arXiv:2210.07182v7).

test_01_best_model.pt

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test_10_best_model.pt

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test_13_best_model.pt

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test_19_best_model.pt

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test_20_best_model.pt

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