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Many learning tasks, including learning potential energy surfaces from ab initio calculations, involve global spatial symmetries and permutational symmetry between atoms or general particles. Equivariant graph neural networks are a standard…

Machine Learning · Computer Science 2024-05-24 Zimu Li , Zihan Pengmei , Han Zheng , Erik Thiede , Junyu Liu , Risi Kondor

Machine learning has enabled the prediction of quantum chemical properties with high accuracy and efficiency, allowing to bypass computationally costly ab initio calculations. Instead of training on a fixed set of properties, more recent…

Even though Bayesian neural networks offer a promising framework for modeling uncertainty, active learning and incorporating prior physical knowledge, few applications of them can be found in the context of interatomic force modeling. One…

Chemical Physics · Physics 2023-04-10 Tim Rensmeyer , Benjamin Craig , Denis Kramer , Oliver Niggemann

Accurate predictions of interatomic energies and forces are essential for high quality molecular dynamic simulations (MD). Machine learning algorithms can be used to overcome limitations of classical MD by predicting ab initio quality…

Chemical Physics · Physics 2022-01-04 Bryce Hedelius , Fabian B. Fuchs , Dennis Della Corte

Despite their widespread success in various domains, Transformer networks have yet to perform well across datasets in the domain of 3D atomistic graphs such as molecules even when 3D-related inductive biases like translational invariance…

Machine Learning · Computer Science 2023-03-01 Yi-Lun Liao , Tess Smidt

Machine learning interatomic potentials (MLIPs) have massively changed the field of atomistic modeling. They enable the accuracy of density functional theory in large-scale simulations while being nearly as fast as classical interatomic…

Materials Science · Physics 2025-12-03 Niklas Leimeroth , Linus C. Erhard , Karsten Albe , Jochen Rohrer

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…

Material characterization in nano-mechanical tests requires precise interatomic potentials for the computation of atomic energies and forces with near-quantum accuracy. For such purposes, we develop a robust neural-network interatomic…

The combination of neural network potential (NNP) with molecular simulations plays an important role in an efficient and thorough understanding of a molecular system's potential energy surface (PES). However, grasping the interplay between…

Computational Physics · Physics 2021-10-28 Ji Woong Yu , Min Young Ha , Bumjoon Seo , Won Bo Lee

Machine-learning interatomic potentials (MLIPs) have enabled molecular dynamics at near ab initio accuracy, yet remain limited to energies and forces by construction, leaving electronic observables such as dipole moments and…

Graph neural networks (GNNs) have shown considerable promise in computational chemistry. However, the limited availability of molecular data raises concerns regarding GNNs' ability to effectively capture the fundamental principles of…

Machine Learning · Computer Science 2025-03-12 Junyi An , Chao Qu , Yun-Fei Shi , XinHao Liu , Qianwei Tang , Fenglei Cao , Yuan Qi

Neural network force fields have significantly advanced ab initio atomistic simulations across diverse fields. However, their application in the realm of magnetic materials is still in its early stage due to challenges posed by the subtle…

Materials Science · Physics 2024-02-08 Zilong Yuan , Zhiming Xu , He Li , Xinle Cheng , Honggeng Tao , Zechen Tang , Zhiyuan Zhou , Wenhui Duan , Yong Xu

Machine-learning interatomic potentials (MLIPs) such as neuroevolution potentials (NEP) combine quantum-mechanical accuracy with computational efficiency significantly accelerate atomistic dynamic simulations. Trained by derivative-free…

Disordered Systems and Neural Networks · Physics 2026-04-14 Hongfu Huang , Junhao Peng , Kaiqi Li , Jian Zhou , Zhimei Sun

Pretraining molecular representation models without labels is fundamental to various applications. Conventional methods mainly process 2D molecular graphs and focus solely on 2D tasks, making their pretrained models incapable of…

Quantitative Methods · Quantitative Biology 2022-11-30 Rui Jiao , Jiaqi Han , Wenbing Huang , Yu Rong , Yang Liu

Soft, porous mechanical metamaterials exhibit pattern transformations that may have important applications in soft robotics, sound reduction and biomedicine. To design these innovative materials, it is important to be able to simulate them…

Soft Condensed Matter · Physics 2025-03-14 Fleur Hendriks , Vlado Menkovski , Martin Doškář , Marc G. D. Geers , Ondřej Rokoš

Modeling the complex three-dimensional (3D) dynamics of relational systems is an important problem in the natural sciences, with applications ranging from molecular simulations to particle mechanics. Machine learning methods have achieved…

Modeling molecular potential energy surface is of pivotal importance in science. Graph Neural Networks have shown great success in this field. However, their message passing schemes need special designs to capture geometric information and…

Machine Learning · Computer Science 2023-04-24 Xiyuan Wang , Muhan Zhang

Message passing neural networks have become a method of choice for learning on graphs, in particular the prediction of chemical properties and the acceleration of molecular dynamics studies. While they readily scale to large training data…

Machine Learning · Computer Science 2021-06-08 Kristof T. Schütt , Oliver T. Unke , Michael Gastegger

Scaling has been critical in improving model performance and generalization in machine learning. It involves how a model's performance changes with increases in model size or input data, as well as how efficiently computational resources…

Machine Learning · Computer Science 2024-11-01 Eric Qu , Aditi S. Krishnapriyan

Molecular interactions often involve high-order relationships that cannot be fully captured by traditional graph-based models limited to pairwise connections. Hypergraphs naturally extend graphs by enabling multi-way interactions, making…

Machine Learning · Computer Science 2025-05-12 Tien Dang , Truong-Son Hy