# Injecting Domain Knowledge from Empirical Interatomic Potentials to Neural Networks for Predicting Material Properties

Source: [Injecting Domain Knowledge from Empirical Interatomic Potentials to Neural Networks for Predicting Material Properties](<https://www.sota2.com/research/paper/68fa42b71e209131ce90470d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-01-04T05:23:18.968Z

Authors: Zeren Shui, Daniel S. Karls, Mingjian Wen, Ilia A. Nikiforov, Ellad B. Tadmor, George Karypis

Published: 2022-10-14T18:26:50.000Z

## Abstract

For decades, atomistic modeling has played a crucial role in predicting the behavior of materials in numerous fields ranging from nanotechnology to drug discovery. The most accurate methods in this domain are rooted in first-principles quantum mechanical calculations such as density functional theory (DFT). Because these methods have remained computationally prohibitive, practitioners have traditionally focused on defining physically motivated closed-form expressions known as empirical interatomic potentials (EIPs) that approximately model the interactions between atoms in materials. In recent years, neural network (NN)-based potentials trained on quantum mechanical (DFT-labeled) data have emerged as a more accurate alternative to conventional EIPs. However, the generalizability of these models relies heavily on the amount of labeled training data, which is often still insufficient to generate models suitable for general-purpose applications. In this paper, we propose two generic strategies that take advantage of unlabeled training instances to inject domain knowledge from conventional EIPs to NNs in order to increase their generalizability. The first strategy, based on weakly supervised learning, trains an auxiliary classifier on EIPs and selects the best-performing EIP to generate energies to supplement the ground-truth DFT energies in training the NN. The second strategy, based on transfer learning, first pretrains the NN on a large set of easily obtainable EIP energies, and then fine-tunes it on ground-truth DFT energies. Experimental results on three benchmark datasets demonstrate that the first strategy improves baseline NN performance by 5% to 51% while the second improves baseline performance by up to 55%. Combining them further boosts performance.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

- [DFT energy prediction on AgAu](<https://www.sota2.com/research/sota/dft-energy-prediction-on-agau.md>): DFT energy prediction; AgAu; MAE (Config, eV): 0.3858.

- [DFT energy prediction on ANI-Al](<https://www.sota2.com/research/sota/dft-energy-prediction-on-ani-al.md>): DFT energy prediction; ANI-Al; MAE (Config, eV): 0.1697.

- [DFT energy prediction on KIM Si](<https://www.sota2.com/research/sota/dft-energy-prediction-on-kim-si.md>): DFT energy prediction; KIM Si; MAE (Config Level): 0.5307.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2210.08047>)

[PDF](<https://arxiv.org/pdf/2210.08047.pdf>)

[Implementation](<https://github.com/shuix007/EIP4NNPotentials>)
