Global Universal Scaling and Ultra-Small Parameterization in Machine Learning Interatomic Potentials with Super-Linearity

Fuente: arXiv
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Auteurs principaux: Hu, Yanxiao, Sheng, Ye, Huang, Jing, Xu, Xiaoxin, Yang, Yuyan, Zhang, Mingqiang, Wu, Yabei, Ye, Caichao, Yang, Jiong, Zhang, Wenqing
Format: Preprint
Publié: 2025
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author Hu, Yanxiao
Sheng, Ye
Huang, Jing
Xu, Xiaoxin
Yang, Yuyan
Zhang, Mingqiang
Wu, Yabei
Ye, Caichao
Yang, Jiong
Zhang, Wenqing
author_facet Hu, Yanxiao
Sheng, Ye
Huang, Jing
Xu, Xiaoxin
Yang, Yuyan
Zhang, Mingqiang
Wu, Yabei
Ye, Caichao
Yang, Jiong
Zhang, Wenqing
contents Using machine learning (ML) to construct interatomic interactions and thus potential energy surface (PES) has become a common strategy for materials design and simulations. However, those current models of machine learning interatomic potential (MLIP) provide no relevant physical constrains, and thus may owe intrinsic out-of-domain difficulty which underlies the challenges of model generalizability and physical scalability. Here, by incorporating physics-informed Universal-Scaling law and nonlinearity-embedded interaction function, we develop a Super-linear MLIP with both Ultra-Small parameterization and greatly expanded expressive capability, named SUS2-MLIP. Due to the global scaling rooting in universal equation of state (UEOS), SUS2-MLIP not only has significantly-reduced parameters by decoupling the element space from coordinate space, but also naturally outcomes the out-of-domain difficulty and endows the potentials with inherent generalizability and scalability even with relatively small training dataset. The nonlinearity-enbeding transformation for interaction function expands the expressive capability and make the potentials super-linear. The SUS2-MLIP outperforms the state-of-the-art MLIP models with its exceptional computational efficiency especially for multiple-element materials and physical scalability in property prediction. This work not only presents a highly-efficient universal MLIP model but also sheds light on incorporating physical constraints into artificial-intelligence-aided materials simulation.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07293
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Global Universal Scaling and Ultra-Small Parameterization in Machine Learning Interatomic Potentials with Super-Linearity
Hu, Yanxiao
Sheng, Ye
Huang, Jing
Xu, Xiaoxin
Yang, Yuyan
Zhang, Mingqiang
Wu, Yabei
Ye, Caichao
Yang, Jiong
Zhang, Wenqing
Materials Science
Machine Learning
Using machine learning (ML) to construct interatomic interactions and thus potential energy surface (PES) has become a common strategy for materials design and simulations. However, those current models of machine learning interatomic potential (MLIP) provide no relevant physical constrains, and thus may owe intrinsic out-of-domain difficulty which underlies the challenges of model generalizability and physical scalability. Here, by incorporating physics-informed Universal-Scaling law and nonlinearity-embedded interaction function, we develop a Super-linear MLIP with both Ultra-Small parameterization and greatly expanded expressive capability, named SUS2-MLIP. Due to the global scaling rooting in universal equation of state (UEOS), SUS2-MLIP not only has significantly-reduced parameters by decoupling the element space from coordinate space, but also naturally outcomes the out-of-domain difficulty and endows the potentials with inherent generalizability and scalability even with relatively small training dataset. The nonlinearity-enbeding transformation for interaction function expands the expressive capability and make the potentials super-linear. The SUS2-MLIP outperforms the state-of-the-art MLIP models with its exceptional computational efficiency especially for multiple-element materials and physical scalability in property prediction. This work not only presents a highly-efficient universal MLIP model but also sheds light on incorporating physical constraints into artificial-intelligence-aided materials simulation.
title Global Universal Scaling and Ultra-Small Parameterization in Machine Learning Interatomic Potentials with Super-Linearity
topic Materials Science
Machine Learning
url https://arxiv.org/abs/2502.07293