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MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields

NeurIPS 2022 · Architectures and efficiency › RNNs and normalization · approach: Scalable approximation and equivariant compute · 295 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use higher correlation-order messages (ν=2 or ν=3) instead of ν=1 (ablation)Two-layer invariant MACE on rMD17 aspirin · rMD17 aspirin learning curveforce MAEHelped
Add equivariant messages with increasing symmetry order L at fixed ν=3 (ablation)Two-layer MACE on rMD17 aspirin · rMD17 aspirin learning curveforce MAE learning-curve slopeNo clear effect
Add equivariant messages with increasing symmetry order L at fixed ν=1 (ablation)Two-layer MACE on rMD17 aspirin · rMD17 aspirin learning curveforce MAE learning-curve slopeNo clear effect
Use higher-order messages rather than relying on additional two-body message-passing layers (ablation)MACE versus two-body MPNNs on 3BPA · 3BPAlayers needed for accuracy convergenceHelped
Add nonlinearities in the update to increase body order (ablation)NequIP versus BOTNet on 3BPA · 3BPAaccuracyNo clear effect
Increase equivariance from L=0 to L=2 (ablation)MACE · 3BPA 1200 Kenergy RMSE (meV): 37.1 (0.8) -> 29.8 (1.0)Helped

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