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Sliced Denoising: A Physics-Informed Molecular Pre-Training Method
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Proposes sliced denoising (SliDe), a molecular pre-training method that adds BAT (bond/angle/torsion) noise derived from a quadratic classical mechanical energy and uses random slicing to avoid computing the Jacobian when learning the force field.
Problem
Existing denoising-based molecular pre-training uses ad-hoc noise and coarse energy functions, so the learned force fields deviate from true physical force fields, limiting downstream generalization.
Approach
Derive a quadratic intramolecular energy in bond lengths, angles, and torsions, sample conformations with BAT Gaussian noise whose variances come from force-field parameters, and regress the Cartesian force field via random slicing (projections onto Gaussian random vectors) so that the Jacobian of the internal-coordinate transform never has to be computed explicitly.
Key results
- SliDe reaches a force-field correlation coefficient of 0.895 with DFT versus 0.616 (Coord) and 0.631 (Frad), a 42% improvement.
- On QM9, SliDe achieves state-of-the-art on 10 of 12 tasks, reducing MAE by 12.4% relative to the prior best.
- On MD17 force prediction with 1000 training samples, SliDe achieves the best MAE on six of eight molecules (e.g., Aspirin 0.1740 vs 0.2087 for Frad).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SliDe instead of Frad for denoising pre-training | Molecular force-field learning · PCQM4Mv2 force-field evaluation | correlation coefficient: 0.631 (0.046) -> 0.895 (0.071) | Helped |
| Use SliDe instead of Coord for denoising pre-training | Molecular force-field learning · PCQM4Mv2 force-field evaluation | correlation coefficient: 0.616(0.047) -> 0.895 (0.071) | Helped |
| Add pre-training regularization (ablation) | SliDe · QM9 homo | MAE (meV): 15.0 -> 13.6 | Helped |
| Add pre-training regularization (ablation) | SliDe · QM9 lumo | MAE (meV): 14.8 -> 12.3 | Helped |
| Add pre-training regularization (ablation) | SliDe · QM9 gap | MAE (meV): 27.7 -> 26.2 | Helped |
| Use GET instead of ET (ablation) | SliDe pre-training and MD17 fine-tuning · MD17 force prediction: Aspirin | MAE: 0.2045 -> 0.1740 | Helped |
| Use GET instead of ET (ablation) | SliDe pre-training and MD17 fine-tuning · MD17 force prediction: Benzene | MAE: 0.1810 -> 0.1691 | Helped |
| Increase random slicing sample count from N_v=32 to N_v=128 at σ=0.001 | SliDe · PCQM4Mv2 force-field evaluation | Pearson correlation coefficient ρ: 0.536(0.067) -> 0.895 (0.071) | Helped |
| Increase random slicing sample count from N_v=128 to N_v=512 at σ=0.001 | SliDe · PCQM4Mv2 force-field evaluation | Pearson correlation coefficient ρ: 0.895 (0.071) -> 0.896 (0.067) | No clear effect |
Surprising findings
- SliDe is worse than Frad on ZPVE and SphereNet/ET outperform it on a few QM9 tasks, and it is worse than Coord on Malonaldehyde and Uracil on MD17.
Limitations
- Noisy Nodes fine-tuning was hard to optimize with SliDe, requiring an added regularization term during pre-training.
- Ring bonds, angles, and torsions are not perturbed, and atoms bonded to more than two atoms need special handling for independence.
- Pre-training uses only equilibrium conformations from PCQM4Mv2 and the energy function omits electrostatic and van der Waals terms.
Experimental setup
Datasets: PCQM4Mv2 QM9 MD17
Benchmarks: QM9 MD17
Metrics: MAE Pearson correlation coefficient
Baselines: Coord Frad 3D-EMGP SE(3)-DDM Transformer-M TorchMD-NET (ET) SphereNet PaiNN DimeNet++ SchNet
Builds on: coordinate denoising fractional denoising Sliced Wasserstein distance TorchMD-NET Noisy Nodes
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