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  On the Uncertainty Estimates of Equivariant-Neural-Network-Ensembles Interatomic Potentials

Lu, S., Ghiringhelli, L. M., Carbogno, C., Wang, J., & Scheffler, M. (in preparation). On the Uncertainty Estimates of Equivariant-Neural-Network-Ensembles Interatomic Potentials.

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arXiv:2309.00195.pdf (Preprint), 6MB
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 Creators:
Lu, Shuaihua1, Author
Ghiringhelli, Luca M.1, Author                 
Carbogno, Christian1, Author                 
Wang, Jinlan, Author
Scheffler, Matthias1, Author                 
Affiliations:
1NOMAD, Fritz Haber Institute, Max Planck Society, ou_3253022              

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Free keywords: Condensed Matter, Materials Science, cond-mat.mtrl-sci
 Abstract: Machine-learning (ML) interatomic potentials (IPs) trained on first-principles datasets are becoming increasingly popular since they promise to treat larger system sizes and longer time scales, compared to the ab initio techniques producing the training data. Estimating the accuracy of MLIPs and reliably detecting when predictions become inaccurate is key for enabling their unfailing usage. In this paper, we explore this aspect for a specific class of MLIPs, the equivariant-neural-network (ENN) IPs using theensemble technique for quantifying their prediction uncertainties. We critically examine the robustness of uncertainties when the ENN ensemble IP (ENNE-IP) is applied to the realistic and physically relevant scenario of predicting local-minima structures in the configurational space. The ENNE-IP is trained on data for liquid silicon, created by density-functional theory (DFT) with the generalized gradient approximation (GGA) for the exchange-correlation functional. Then, the ensemble-derived uncertainties are compared with the actual errors (comparing the results of the ENNE-IP with those of the underlying DFT-GGA theory) for various test sets, including liquid silicon at different temperatures and out-of-training-domain data such as solid phases with and without point defects as well as surfaces. Our study reveals that the predicted uncertainties are generally overconfident and hold little quantitative predictive power for the actual errors.

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Language(s): eng - English
 Dates: 2023-08-31
 Publication Status: Not specified
 Pages: 11
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2309.00195
 Degree: -

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