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SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networks

NeurIPS 2020 · Point clouds › Point cloud classification · approach: Equivariant point cloud networks · 258 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SE(3)-equivariant attention instead of Set Transformer attentionN-body prediction · N-body simulationsMSE x: 0.0139 -> 0.0076Helped
Use SE(3)-equivariant attention instead of Set Transformer attentionN-body prediction · N-body simulationsMSE v: 0.101 -> 0.075Helped
Add symmetry-breaking z-coordinate input (ablation)SE(3)-Transformer · ScanObjectNN object onlyaccuracy: 72.8 % -> 85.0%Helped
Use SE(3)-Transformer rather than the strongest listed baselineQM9 · QM9 testMAE α: .084 -> .142$\pm$.002Hurt
Use SE(3)-Transformer rather than the strongest listed baselineQM9 · QM9 testMAE Δε: 49 -> 53.0$\pm$0.3Hurt
Use SE(3)-Transformer rather than the strongest listed baselineQM9 · QM9 testMAE ε_HOMO: 30 -> 35.0$\pm$.9Hurt
Use SE(3)-Transformer rather than the strongest listed baselineQM9 · QM9 testMAE ε_LUMO: 25 -> 33.0$\pm$.7Hurt
Use SE(3)-Transformer rather than the strongest listed baselineQM9 · QM9 testMAE μ: .030 -> .051$\pm$.001Hurt
Use SE(3)-Transformer rather than the strongest listed baselineQM9 · QM9 testMAE Cν: .026 -> .054$\pm$.002Hurt

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