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We compare the predicted phase behaviour of lead (Pb) using three different interatomic potential models, including an embedded atom method (EAM), a modified embedded atom method (MEAM), and a neural network-based machine-learned model in…

The objective of this paper is to learn dense 3D shape correspondence for topology-varying generic objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Feng Liu , Xiaoming Liu

Point defects in solid-state materials are now routinely simulated using large supercell structures, requiring efficient quantum mechanical solutions. Data-driven and machine learning (ML) models trained on computational data can enable…

Materials Science · Physics 2026-05-26 Arun Mannodi-Kanakkithodi , Menglin Huang , Prashun Gorai , Seán R. Kavanagh

Invariance (defined in a general sense) has been one of the most effective priors for representation learning. Direct factorization of parametric models is feasible only for a small range of invariances, while regularization approaches,…

Machine Learning · Computer Science 2020-07-28 Yingyi Ma , Vignesh Ganapathiraman , Yaoliang Yu , Xinhua Zhang

We use recent theoretical advances to develop a new functional form for interatomic forces in bulk silicon. The theoretical results underlying the model include a novel analysis of elastic properties for the diamond and graphitic structures…

Materials Science · Physics 2016-08-31 Martin Z. Bazant , Efthimios Kaxiras , J. F. Justo

The central approximation made in classical molecular dynamics simulation of materials is the interatomic potential used to calculate the forces on the atoms. Great effort and ingenuity is required to construct viable functional forms and…

Computational Physics · Physics 2019-06-26 Mitchell A. Wood , Mary Alice Cusentino , Brian D. Wirth , Aidan P. Thompson

We propose an approach to materials prediction that uses a machine-learning interatomic potential to approximate quantum-mechanical energies and an active learning algorithm for the automatic selection of an optimal training dataset. Our…

Materials Science · Physics 2018-06-28 Konstantin Gubaev , Evgeny V. Podryabinkin , Gus L. W. Hart , Alexander V. Shapeev

In computational materials science, a common means for predicting macroscopic (e.g., mechanical) properties of an alloy is to define a model using combinations of descriptors that depend on some material properties (elastic constants,…

Materials Science · Physics 2022-10-17 Ivan Novikov , Olga Kovalyova , Alexander Shapeev , Max Hodapp

Machine learning (ML) methods have gained increasing popularity in exploring and developing new materials. More specifically, graph neural network (GNN) has been applied in predicting material properties. In this work, we develop a novel…

Computational Physics · Physics 2020-08-18 Steph-Yves Louis , Yong Zhao , Alireza Nasiri , Xiran Wong , Yuqi Song , Fei Liu , Jianjun Hu

According to density functional theory, any chemical property can be inferred from the electron density, making it the most informative attribute of an atomic structure. In this work, we demonstrate the use of established physical methods…

Materials Science · Physics 2023-09-12 Ethan M. Sunshine , Muhammed Shuaibi , Zachary W. Ulissi , John R. Kitchin

A core challenge for both physics and artificial intellicence (AI) is symbolic regression: finding a symbolic expression that matches data from an unknown function. Although this problem is likely to be NP-hard in principle, functions of…

Computational Physics · Physics 2020-04-16 Silviu-Marian Udrescu , Max Tegmark

High-throughput approximations of quantum mechanics calculations and combinatorial experiments have been traditionally used to reduce the search space of possible molecules, drugs and materials. However, the interplay of structural and…

Quantum Physics · Physics 2019-10-29 Alain Tchagang , Julio Valdés

Symbolic regression is the process of identifying mathematical expressions that fit observed output from a black-box process. It is a discrete optimization problem generally believed to be NP-hard. Prior approaches to solving the problem…

Neural and Evolutionary Computing · Computer Science 2021-11-19 T. Nathan Mundhenk , Mikel Landajuela , Ruben Glatt , Claudio P. Santiago , Daniel M. Faissol , Brenden K. Petersen

Recent years have seen substantial advances in the development of biofunctional materials using synthetic polymers. The growing problem of elusive sequence-functionality relations for most biomaterials has driven researchers to seek more…

Quantitative Methods · Quantitative Biology 2022-07-06 Yun Zhou , Boying Gong , Tao Jiang , Ting Xu , Haiyan Huang

Deep potentials for molecular dynamics (MD) achieve first-principles accuracy at much lower computational cost. However, their use in large length- and time-scale simulations is limited by their lower speeds compared to analytical atomistic…

Materials Science · Physics 2023-06-19 Or Shafir , Ilya Grinberg

With the rise of large language models (LLMs) for flexibly processing information as strings, a natural application is regression, specifically by preprocessing string representations into LLM embeddings as downstream features for metric…

Machine Learning · Computer Science 2025-02-18 Eric Tang , Bangding Yang , Xingyou Song

Modeling the unsaturated behavior of porous materials with multimodal pore size distributions presents significant challenges, as standard hydraulic models often fail to capture their complex, multi-scale characteristics. A common…

Geophysics · Physics 2026-03-05 Yejin Kim , Hyoung Suk Suh

Machine-learned interatomic potentials (MLIPs) are increasingly used to replace computationally demanding electronic-structure calculations to model matter at the atomic scale. The most commonly used model architectures are constrained to…

Chemical Physics · Physics 2026-03-30 Filippo Bigi , Paolo Pegolo , Arslan Mazitov , Jonathan Schmidt , Michele Ceriotti

Efficient and fast reconstruction of anatomical structures plays a crucial role in clinical practice. Minimizing retrieval and processing times not only potentially enhances swift response and decision-making in critical scenarios but also…

Prediction models of lattice thermal conductivity have wide applications in the discovery of thermoelectrics, thermal barrier coatings, and thermal management of semiconductors. kL is notoriously difficult to predict. While classic models…

Materials Science · Physics 2021-09-15 Christian Loftis , Kunpeng Yuan , Yong Zhao , Ming Hu , Jianjun Hu