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Sliced Denoising: A Physics-Informed Molecular Pre-Training Method

ICLR 2024 · Probabilistic and scientific modeling › Molecules and proteins · approach: Diffusion for molecular conformations · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SliDe instead of Frad for denoising pre-trainingMolecular force-field learning · PCQM4Mv2 force-field evaluationcorrelation coefficient: 0.631 (0.046) -> 0.895 (0.071)Helped
Use SliDe instead of Coord for denoising pre-trainingMolecular force-field learning · PCQM4Mv2 force-field evaluationcorrelation coefficient: 0.616(0.047) -> 0.895 (0.071)Helped
Add pre-training regularization (ablation)SliDe · QM9 homoMAE (meV): 15.0 -> 13.6Helped
Add pre-training regularization (ablation)SliDe · QM9 lumoMAE (meV): 14.8 -> 12.3Helped
Add pre-training regularization (ablation)SliDe · QM9 gapMAE (meV): 27.7 -> 26.2Helped
Use GET instead of ET (ablation)SliDe pre-training and MD17 fine-tuning · MD17 force prediction: AspirinMAE: 0.2045 -> 0.1740Helped
Use GET instead of ET (ablation)SliDe pre-training and MD17 fine-tuning · MD17 force prediction: BenzeneMAE: 0.1810 -> 0.1691Helped
Increase random slicing sample count from N_v=32 to N_v=128 at σ=0.001SliDe · PCQM4Mv2 force-field evaluationPearson 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=0.001SliDe · PCQM4Mv2 force-field evaluationPearson correlation coefficient ρ: 0.895 (0.071) -> 0.896 (0.067)No clear effect

Surprising findings

Limitations

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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