Papers › PhysNet: A Neural Network for Predicting Energies, Forces, Dipole Moments and Partial Charges

PhysNet: A Neural Network for Predicting Energies, Forces, Dipole Moments and Partial Charges

22 Feb 2019arXiv:1902.08408links table onlyarchive 2025-07-28

Oliver T. Unke, Markus Meuwly

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In recent years, machine learning (ML) methods have become increasingly popular in computational chemistry. After being trained on appropriate ab initio reference data, these methods allow to accurately predict the properties of chemical systems, circumventing the need for explicitly solving the electronic Schr\"odinger equation. Because of their computational efficiency and scalability to large datasets, deep neural networks (DNNs) are a particularly promising ML algorithm for chemical applications. This work introduces PhysNet, a DNN architecture designed for predicting energies, forces and dipole moments of chemical systems. PhysNet achieves state-of-the-art performance on the QM9, MD17 and ISO17 benchmarks. Further, two new datasets are generated in order to probe the performance of ML models for describing chemical reactions, long-range interactions, and condensed phase systems. It is shown that explicitly including electrostatics in energy predictions is crucial for a qualitatively correct description of the asymptotic regions of a potential energy surface (PES). PhysNet models trained on a systematically constructed set of small peptide fragments (at most eight heavy atoms) are able to generalize to considerably larger proteins like deca-alanine (Ala₁₀): The optimized geometry of helical Ala₁₀ predicted by PhysNet is virtually identical to ab initio results (RMSD = 0.21 \r{A}). By running unbiased molecular dynamics (MD) simulations of Ala₁₀ on the PhysNet-PES in gas phase, it is found that instead of a helical structure, Ala₁₀ folds into a wreath-shaped configuration, which is more stable than the helical form by 0.46 kcal mol⁻¹ according to the reference ab initio calculations.

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MeuwlyGroup/PhysNet officialmentioned in papermentioned on GitHubtfMIT report
MMunibas/PhysNet mentioned on GitHubtfMIT report
MMunibas/fad mentioned on GitHubtf report
qsb300/PhysNetTF2 mentioned on GitHubtfMIT report
qsb300/PhysNetTF2M mentioned on GitHubtfMIT report

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swish MeuwlyGroup/PhysNet/neural_network/activation_fn.py official repository ran · honoured contract fingerprinted MIT (permissive) · 86d13b9f67274f19 · report
semi_orthogonal_glorot_weights MeuwlyGroup/PhysNet/neural_network/layers/util.py official repository unverified MIT (permissive) · 09d246ccdbc79091 · report
semi_orthogonal_matrix MeuwlyGroup/PhysNet/neural_network/layers/util.py official repository unverified MIT (permissive) · e1a71552a0935d72 · report
shifted_softplus MeuwlyGroup/PhysNet/neural_network/activation_fn.py official repository unverified MIT (permissive) · 4d8becd4e439e579 · report
softplus MeuwlyGroup/PhysNet/neural_network/activation_fn.py official repository unverified MIT (permissive) · c4d6f9c2006dbff2 · report
softplus_inverse MeuwlyGroup/PhysNet/neural_network/NeuralNetwork.py official repository unverified MIT (permissive) · b898cbbdb9862294 · report
square_orthogonal_matrix MeuwlyGroup/PhysNet/neural_network/layers/util.py official repository unverified MIT (permissive) · f590f8ed707cb9ab · report
shifted_softplus qsb300/PhysNetTF2/neural_network/activation_fn.py community (archive-listed) unverified MIT (permissive) · 9660c0db4e564762 · report
shifted_softplus qsb300/PhysNetTF2M/neural_network/activation_fn.py community (archive-listed) unverified MIT (permissive) · 1210d8cc78922be5 · report
softplus qsb300/PhysNetTF2/neural_network/activation_fn.py community (archive-listed) unverified MIT (permissive) · 2afff51165fbb5ea · report
softplus qsb300/PhysNetTF2M/neural_network/activation_fn.py community (archive-listed) unverified MIT (permissive) · 9ac3731380d8f798 · report
softplus_inverse MMunibas/PhysNet/neural_network/layers/RBFLayer.py community (archive-listed) unverified MIT (permissive) · b924882256391469 · report
swish qsb300/PhysNetTF2/neural_network/activation_fn.py community (archive-listed) unverified MIT (permissive) · 7a3afcf71eb35c83 · report

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Formation Energy QM9 PhysNet-ens5 MAE 0.14 #6 of 18 Archive leaderboard report
Formation Energy QM9 PhysNet MAE 0.19 #10 of 18 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

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