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Scaling Spherical CNNs

ICML 2023 · Architectures and efficiency › CNN design · approach: Steerable rotation-equivariant CNNs · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Phase collapse nonlinearity (vs magnitude/gated activation) (ablation)small QM9/H spherical CNN · QM9 HMAE (meV): 15.25 vs 16.70 (gated) and 17.01 (magnitude)Helped
Spectral pooling (vs spatial pooling) (ablation)small QM9/H spherical CNN · QM9 HMAE (meV): 15.25 vs 16.13Helped
Spherical molecule representation using power-law pairwise features (vs prior Coulomb sphere representation) (ablation)small QM9/H spherical CNN · QM9 HMAE (meV): 15.25 vs 20.90Helped
Phase collapse nonlinearity added in efficiency analysis (ablation)spherical CNN on QM9 H · QM9 HRMSE / steps per second: -8.0% RMSE but -4.6% steps/sHelped
Spectral batch norm (vs spatial) (ablation)spherical CNN on QM9 H · QM9 HRMSE and steps/s: +7.8% steps/s, -1.4% RMSEHelped
Efficient spectral residual block (vs spatial pooling with batch norm) (ablation)spherical CNN on QM9 H · QM9 HRMSE and steps/s: +19.3% steps/s, -2.4% RMSEHelped
Use DFT matrix multiplication instead of FFT (ablation)spherical CNN on TPU · QM9 H efficiencysteps/s: +21.4% steps/s, 0.0 RMSE changeHelped
Removing Wigner Delta symmetries (compute all entries) (ablation)spherical CNN on TPU · QM9 H efficiencysteps/s: +16.3% steps/s, 0.0 RMSE changeHelped
JAX rewrite tuned for TPUs vs original TensorFlow implementation (ablation)spin-weighted spherical CNN · QM9 H efficiencysteps/s: +33.7% steps/sHelped
Scaling input resolution down (256 to 64) with fixed layers (ablation)weather forecasting spherical CNN · ERA5 6h-ahead forecastingRMSE Z500 / T850: Z500 34.93 to 69.60; T850 0.62 to 1.08Hurt
Halving channels per layer (50%) at 256 resolution (ablation)weather forecasting spherical CNN · ERA5 6h-ahead forecastingRMSE Z500 / T850: Z500 34.93 to 41.34; T850 0.62 to 0.71Hurt
Separable convolutions in every other layer (fewer convolutions) (ablation)weather forecasting spherical CNN · ERA5 6h-ahead forecastingRMSE Z500 / T850: Z500 34.93 to 36.24; T850 0.62 to 0.65Hurt

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