Papers › Graph Networks as a Universal Machine Learning Framework for Molecules and Crystals

Graph Networks as a Universal Machine Learning Framework for Molecules and Crystals

12 Dec 2018arXiv:1812.05055links table onlyarchive 2025-07-28

Chi Chen, Weike Ye, Yunxing Zuo, Chen Zheng, Shyue Ping Ong

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Graph networks are a new machine learning (ML) paradigm that supports both relational reasoning and combinatorial generalization. Here, we develop universal MatErials Graph Network (MEGNet) models for accurate property prediction in both molecules and crystals. We demonstrate that the MEGNet models outperform prior ML models such as the SchNet in 11 out of 13 properties of the QM9 molecule data set. Similarly, we show that MEGNet models trained on ∼60,000 crystals in the Materials Project substantially outperform prior ML models in the prediction of the formation energies, band gaps and elastic moduli of crystals, achieving better than DFT accuracy over a much larger data set. We present two new strategies to address data limitations common in materials science and chemistry. First, we demonstrate a physically-intuitive approach to unify four separate molecular MEGNet models for the internal energy at 0 K and room temperature, enthalpy and Gibbs free energy into a single free energy MEGNet model by incorporating the temperature, pressure and entropy as global state inputs. Second, we show that the learned element embeddings in MEGNet models encode periodic chemical trends and can be transfer-learned from a property model trained on a larger data set (formation energies) to improve property models with smaller amounts of data (band gaps and elastic moduli).

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accuracy materialsvirtuallab/megnet/megnet/utils/metrics.py official repository unverified BSD-3-Clause (permissive) · 793d95f974b73be9 · report
expand_1st materialsvirtuallab/megnet/megnet/utils/general.py official repository unverified BSD-3-Clause (permissive) · 4fc6585b7b5fce76 · report
fast_label_binarize materialsvirtuallab/megnet/megnet/utils/general.py official repository unverified BSD-3-Clause (permissive) · 44e79b9c39926ed4 · report
mae materialsvirtuallab/megnet/megnet/utils/metrics.py official repository unverified BSD-3-Clause (permissive) · 7cd70353cde137d0 · report
mean_squared_error_with_scale materialsvirtuallab/megnet/megnet/losses.py official repository unverified BSD-3-Clause (permissive) · 310cd70b817b692c · report
repeat_with_index materialsvirtuallab/megnet/megnet/utils/layer.py official repository unverified BSD-3-Clause (permissive) · 2e536987121d9a8e · report
softplus2 materialsvirtuallab/megnet/megnet/activations.py official repository unverified BSD-3-Clause (permissive) · b72502cbc4652705 · report
swish materialsvirtuallab/megnet/megnet/activations.py official repository unverified BSD-3-Clause (permissive) · a66746c53f581f24 · report
to_list materialsvirtuallab/megnet/megnet/utils/general.py official repository unverified BSD-3-Clause (permissive) · 5b8cd0953f2acd70 · report

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Formation Energy Materials Project MEGNet MAE 28 #5 of 9 Archive leaderboard report
Formation Energy QM9 MEGNet-Full MAE 0.21 #11 of 18 Archive leaderboard report
Formation Energy QM9 MEGNet-simple MAE 0.28 #14 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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