Research map / Architectures and efficiency / CNN design
Scaling Spherical CNNs
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Phase collapse nonlinearity (vs magnitude/gated activation) (ablation) | small QM9/H spherical CNN · QM9 H | MAE (meV): 15.25 vs 16.70 (gated) and 17.01 (magnitude) | Helped |
| Spectral pooling (vs spatial pooling) (ablation) | small QM9/H spherical CNN · QM9 H | MAE (meV): 15.25 vs 16.13 | Helped |
| Spherical molecule representation using power-law pairwise features (vs prior Coulomb sphere representation) (ablation) | small QM9/H spherical CNN · QM9 H | MAE (meV): 15.25 vs 20.90 | Helped |
| Phase collapse nonlinearity added in efficiency analysis (ablation) | spherical CNN on QM9 H · QM9 H | RMSE / steps per second: -8.0% RMSE but -4.6% steps/s | Helped |
| Spectral batch norm (vs spatial) (ablation) | spherical CNN on QM9 H · QM9 H | RMSE and steps/s: +7.8% steps/s, -1.4% RMSE | Helped |
| Efficient spectral residual block (vs spatial pooling with batch norm) (ablation) | spherical CNN on QM9 H · QM9 H | RMSE and steps/s: +19.3% steps/s, -2.4% RMSE | Helped |
| Use DFT matrix multiplication instead of FFT (ablation) | spherical CNN on TPU · QM9 H efficiency | steps/s: +21.4% steps/s, 0.0 RMSE change | Helped |
| Removing Wigner Delta symmetries (compute all entries) (ablation) | spherical CNN on TPU · QM9 H efficiency | steps/s: +16.3% steps/s, 0.0 RMSE change | Helped |
| JAX rewrite tuned for TPUs vs original TensorFlow implementation (ablation) | spin-weighted spherical CNN · QM9 H efficiency | steps/s: +33.7% steps/s | Helped |
| Scaling input resolution down (256 to 64) with fixed layers (ablation) | weather forecasting spherical CNN · ERA5 6h-ahead forecasting | RMSE Z500 / T850: Z500 34.93 to 69.60; T850 0.62 to 1.08 | Hurt |
| Halving channels per layer (50%) at 256 resolution (ablation) | weather forecasting spherical CNN · ERA5 6h-ahead forecasting | RMSE Z500 / T850: Z500 34.93 to 41.34; T850 0.62 to 0.71 | Hurt |
| Separable convolutions in every other layer (fewer convolutions) (ablation) | weather forecasting spherical CNN · ERA5 6h-ahead forecasting | RMSE Z500 / T850: Z500 34.93 to 36.24; T850 0.62 to 0.65 | Hurt |
Closest papers by meaning
- Scattering Networks on the Sphere for Scalable and Rotationally Equivariant Spherical CNNs (ICLR 2022 · similarity 0.90)
- Efficient Generalized Spherical CNNs (ICLR 2021 · similarity 0.90)
- Spherical CNNs (ICLR 2018 · similarity 0.90)
- DeepSphere: a graph-based spherical CNN (ICLR 2020 · similarity 0.89)
- Attention on the Sphere (NeurIPS 2025 · similarity 0.85)
- Hybrid Neural Representations for Spherical Data (ICML 2024 · similarity 0.83)
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