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Sampling-free Inference for Ab-Initio Potential Energy Surface Networks

ICLR 2023 · Probabilistic and scientific modeling › Molecules and proteins · approach: Machine-learned interatomic potentials · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a nuclear-geometry GNN surrogate trained online on intermediate noisy VMC energies, avoiding inference-time Monte Carlo integrationPESNet++ · C2H5OHinference time per geometry: 2.7 hours -> 118 microsecondsHelped
Add restricted neural wave functions with doubly occupied orbitals (ablation)PESNet++ · N2MAE to experimental results: 46%; 1.21 milli-hartreeHelped
Replace block-diagonal orbital matrices with dense orbital matrices (ablation)PESNet++ · N2energy errorHelped
Add a permutation-invariant Jastrow factor (ablation)PESNet++ · N2energy errorHelped
Use careful initialization, rescaling after activations, and SiLU to reduce dead neurons (ablation)PESNet++ · neural wave function trainingdead neuron proportion: >40% -> <10%Helped
Add the nucleus-relative electron coordinate transform during geometry perturbations (ablation)PESNet++ · H2-HF full 6D surfacefinal energy standard deviation: 17% lower; 3 out of 5 runs diverge without the transformHelped
Increase surrogate training steps from one to five (ablation)PlaNet · N2absolute MAE (milli-hartree): 0.57(21) -> 0.33(7)Helped
Increase surrogate training steps from five to ten (ablation)PlaNet · N2absolute MAE (milli-hartree): 0.33(7) -> 0.32(6)No clear effect
Use a fixed high EMA decay of 0.9999 instead of adaptive decay (ablation)PlaNet · H4absolute MAE (milli-hartree): 0.0072(7) -> 0.167(30)Hurt
Use adaptive EMA decay instead of fixed decay 0.99 (ablation)PlaNet · N2absolute MAE (milli-hartree): 0.57(15) -> 0.33(7)Helped
Train on a three-dimensional rather than two-dimensional H2-HF surface (ablation)PlaNet · H2-HF two-dimensional sliceMAE (milli-hartree): 0.28(9) -> 1.02(34)Hurt
Train on the full six-dimensional rather than two-dimensional H2-HF surface (ablation)PlaNet · H2-HF two-dimensional sliceMAE (milli-hartree): 0.28(9) -> 2.39(25)Hurt

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