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Hybrid density functional calculation is indispensable to accurate description of electronic structure, whereas the formidable computational cost restricts its broad application. Here we develop a deep equivariant neural network method…

Materials Science · Physics 2023-02-17 Zechen Tang , He Li , Peize Lin , Xiaoxun Gong , Gan Jin , Lixin He , Hong Jiang , Xinguo Ren , Wenhui Duan , Yong Xu

Hamiltonian learning (HL), enabling precise estimation of system parameters and underlying dynamics, plays a critical role in characterizing quantum systems. However, conventional HL methods face challenges in noise robustness and resource…

Quantum Physics · Physics 2025-11-07 Jie Liu , Xin Wang

Progress in the application of machine learning techniques to the prediction of solid-state and molecular materials properties has been greatly facilitated by the development state-of-the-art feature representations and novel deep learning…

Materials Science · Physics 2022-03-21 David E. Sommer , Scott T. Dunham

Mesh-based 3D static analysis methods have recently emerged as efficient alternatives to traditional computational numerical solvers, significantly reducing computational costs and runtime for various physics-based analyses. However, these…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Sungwon Kim , Namkyeong Lee , Yunyoung Doh , Seungmin Shin , Guimok Cho , Seung-Won Jeon , Sangkook Kim , Chanyoung Park

We present Higher-Order Tensor RNN (HOT-RNN), a novel family of neural sequence architectures for multivariate forecasting in environments with nonlinear dynamics. Long-term forecasting in such systems is highly challenging, since there…

Machine Learning · Computer Science 2019-08-27 Rose Yu , Stephan Zheng , Anima Anandkumar , Yisong Yue

Recently, sophisticated deep learning-based approaches have been developed for generating efficient initial guesses to accelerate the convergence of density functional theory (DFT) calculations. While the actual initial guesses are often…

Chemical Physics · Physics 2026-03-24 Zhe Liu , Yuyan Ni , Zhichen Pu , Qiming Sun , Siyuan Liu , Wen Yan

Triangular meshes are widely used to represent three-dimensional objects. As a result, many recent works have address the need for geometric deep learning on 3D mesh. However, we observe that the complexities in many of these architectures…

Machine Learning · Computer Science 2024-02-20 Thuan Trang , Nhat Khang Ngo , Daniel Levy , Thieu N. Vo , Siamak Ravanbakhsh , Truong Son Hy

Hybrid machine learning based on Hamiltonian formulations has recently been successfully demonstrated for simple mechanical systems, both energy conserving and not energy conserving. We introduce a pseudo-Hamiltonian formulation that is a…

Machine Learning · Computer Science 2023-02-15 Sølve Eidnes , Alexander J. Stasik , Camilla Sterud , Eivind Bøhn , Signe Riemer-Sørensen

We propose a simple, but efficient and accurate machine learning (ML) model for developing high-dimensional potential energy surface. This so-called embedded atom neural network (EANN) approach is inspired by the well-known empirical…

Chemical Physics · Physics 2019-10-23 Yaolong Zhang , Ce Hu , Bin Jiang

There has been increasing interest in methodologies that incorporate physics priors into neural network architectures to enhance their modeling capabilities. A family of these methodologies that has gained traction are Hamiltonian neural…

Classical Physics · Physics 2024-12-05 Ignacio Puiggros T. , A. Srikantha Phani

Metamaterials open up a new way to manipulate electromagnetic waves and realize various functional devices. Metamaterials with high-quality (Q) resonance responses are widely employed in sensing, detection, and other applications.…

Optics · Physics 2023-12-22 Shan Yin , Haotian Zhong , Wei Huang , Wentao Zhang , Jiaguang Han

Using machine learning, we explore the utility of various deep neural networks (NN) when applied to high harmonic generation (HHG) scenarios. First, we train the NNs to predict the time-dependent dipole and spectra of HHG emission from…

Optics · Physics 2023-03-07 M. Lytova , M. Spanner , I. Tamblyn

High-entropy materials (HEMs) have recently emerged as a significant category of materials, offering highly tunable properties. However, the scarcity of HEM data in existing density functional theory (DFT) databases, primarily due to…

Materials Science · Physics 2024-06-04 Kangming Li , Kamal Choudhary , Brian DeCost , Michael Greenwood , Jason Hattrick-Simpers

This chapter presents an innovative framework for the application of machine learning and data analytics for the identification of alloys or composites exhibiting certain desired properties of interest. The main focus is on alloys and…

Materials Science · Physics 2020-12-15 Baldur Steingrimsson , Xuesong Fan , Anand Kulkarni , Michael C. Gao , Peter K. Liaw

Developing equivariant neural networks for the E(3) group plays an important role in modeling 3D data across real-world applications. Enforcing this equivariance primarily involves the tensor products of irreducible representations…

Machine Learning · Computer Science 2024-11-12 Shengjie Luo , Tianlang Chen , Aditi S. Krishnapriyan

This paper presents HUANet, a constrained deep neural network architecture that unrolls the iterations of the Alternating Direction Method of Multipliers (ADMM) into a trainable neural network for solving constrained convex optimization…

Optimization and Control · Mathematics 2026-04-16 Trinh Tran , Binh Nguyen , Truong X. Nghiem

We propose a scheme to construct predictive models for Hamiltonian matrices in atomic orbital representation from ab initio data as a function of atomic and bond environments. The scheme goes beyond conventional tight binding descriptions…

Atomistic machine learning (ML) is a powerful tool for accurate and efficient investigation of material behavior at the atomic scale. While such models have been constructed within Cartesian space to harness geometric information and…

Materials Science · Physics 2026-04-29 Qun Chen , A. S. L. Subrahmanyam Pattamatta , Boyu Wang , David J. Srolovitz , Mingjian Wen

A machine learning-accelerated high-throughput (HTP) workflow for the discovery of magnetic materials is presented. As a test case, we screened quaternary and all-$d$ Heusler compounds for stable compounds with large magnetocrystalline…

Materials Science · Physics 2026-01-05 Enda Xiao , Terumasa Tadano

We propose Hierarchical Optimization Time Integration (HOT) for efficient implicit time-stepping of the Material Point Method (MPM) irrespective of simulated materials and conditions. HOT is an MPM-specialized hierarchical optimization…

Graphics · Computer Science 2020-04-28 Xinlei Wang , Minchen Li , Yu Fang , Xinxin Zhang , Ming Gao , Min Tang , Danny M. Kaufman , Chenfanfu Jiang