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The electron density of a molecule or material has recently received major attention as a target quantity of machine-learning models. A natural choice to construct a model that yields transferable and linear-scaling predictions is to…

Chemical Physics · Physics 2022-06-29 Andrea Grisafi , Alan M. Lewis , Mariana Rossi , Michele Ceriotti

The coupling of excited states and ionic dynamics is the basic and challenging point for the materials response at extreme conditions. In laboratory, the intense laser produces transient nature and complexity with highly nonequilibrium…

Computational Physics · Physics 2023-11-27 Qiyu Zeng , Bo Chen , Shen Zhang , Dongdong Kang , Han Wang , Xiaoxiang Yu , Jiayu Dai

Optical neural networks promise ultrafast, low-energy information processing by performing computation directly with photons. Current implementations, however, are largely restricted to steady-state operation and rely on high-latency…

Quantum Physics · Physics 2026-05-19 Jiande Cao , Yexiong Zeng , Franco Nori , Ze-Liang Xiang

Moir\'e patterns made of two-dimensional (2D) materials represent highly tunable electronic Hamiltonians, allowing a wide range of quantum phases to emerge in a single material. Current modeling techniques for moir\'e electrons requires…

Mesoscale and Nanoscale Physics · Physics 2023-01-05 Diyi Liu , Mitchell Luskin , Stephen Carr

Even though neural networks enjoy widespread use, they still struggle to learn the basic laws of physics. How might we endow them with better inductive biases? In this paper, we draw inspiration from Hamiltonian mechanics to train models…

Neural and Evolutionary Computing · Computer Science 2019-09-06 Sam Greydanus , Misko Dzamba , Jason Yosinski

We present a machine learning (ML) method for predicting electronic structure correlation energies using Hartree-Fock input.The total correlation energy is expressed in terms of individual and pair contributions from occupied molecular…

Chemical Physics · Physics 2018-10-16 Matthew Welborn , Lixue Cheng , Thomas F. Miller

Recent advances in scanning transmission electron and scanning probe microscopies have opened exciting opportunities in probing the materials structural parameters and various functional properties in real space with angstrom-level…

Many applications, such as optimization, uncertainty quantification and inverse problems, require repeatedly performing simulations of large-dimensional physical systems for different choices of parameters. This can be prohibitively…

Machine Learning · Computer Science 2023-12-18 Benedikt Brantner , Michael Kraus

We present a new method which combines Car-Parrinello and Born-Oppenheimer molecular dynamics in order to accelerate density functional theory based ab-initio simulations. Depending on the system a gain in efficiency of one to two orders of…

Materials Science · Physics 2007-05-23 Thomas D. Kühne , Matthias Krack , Fawzi R. Mohamed , Michele Parrinello

In this paper, a computationally efficient data-driven hybrid automaton model is proposed to capture unknown complex dynamical system behaviors using multiple neural networks. The sampled data of the system is divided by valid partitions…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Yejiang Yang , Zihao Mo , Weiming Xiang

In the present work, the applicability of physics-augmented neural network (PANN) constitutive models for complex electro-elastic finite element analysis is demonstrated. For the investigations, PANN models for electro-elastic material…

Computational Engineering, Finance, and Science · Computer Science 2024-02-13 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

This work concerns control-oriented and structure-preserving learning of low-dimensional approximations of high-dimensional physical systems, with a focus on mechanical systems. We investigate the integration of neural autoencoders in model…

Machine Learning · Computer Science 2023-12-12 Marco Lepri , Davide Bacciu , Cosimo Della Santina

Hamiltonian neural networks (HNNs) are state-of-the-art models that regress the vector field of a dynamical system under the learning bias of Hamilton's equations. A recent observation is that embedding a bias regarding the additive…

Machine Learning · Computer Science 2024-08-16 Zi-Yu Khoo , Dawen Wu , Jonathan Sze Choong Low , Stéphane Bressan

The integration of density functional theory (DFT) with machine learning enables efficient \textit{ab initio} electronic structure calculations for ultra-large systems. In this work, we develop a transfer learning framework tailored for…

Materials Science · Physics 2025-01-23 Ting Bao , Ning Mao , Wenhui Duan , Yong Xu , Adrian Del Maestro , Yang Zhang

Impressive advances in the field of molecular spintronics allow one to study electron transport through individual magnetic molecules embedded between metallic leads in the purely quantum regime of single electron tunneling. Besides…

Strongly Correlated Electrons · Physics 2019-09-05 Alessandro Chiesa , Emilio Macaluso , Paolo Santini , Stefano Carretta , Eva Pavarini

For several decades, chemical knowledge has been published in written text, and there have been many attempts to make it accessible, for example, by transforming such natural language text to a structured format. Although the discovered…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Sanghyun Yoo , Ohyun Kwon , Hoshik Lee

Deep neural networks provide flexible frameworks for learning data representations and functions relating data to other properties and are often claimed to achieve 'super-human' performance in inferring relationships between input data and…

Materials Science · Physics 2021-05-26 Keith T. Butler , Manh Duc Le , Jeyarajan Thiyagalingam , Toby G. Perring

Determining the structure and following the structural evolution of molecules undergoing chemical reactions is one of the key goals of ultrafast molecular physics and chemistry. Recently, Coulomb explosion imaging has emerged as a promising…

Physics-inspired neural networks (NNs), such as Hamiltonian or Lagrangian NNs, dramatically outperform other learned dynamics models by leveraging strong inductive biases. These models, however, are challenging to apply to many real world…

Machine Learning · Computer Science 2022-02-15 Nate Gruver , Marc Finzi , Samuel Stanton , Andrew Gordon Wilson

Modeling of conservative systems with neural networks is an area of active research. A popular approach is to use Hamiltonian neural networks (HNNs) which rely on the assumptions that a conservative system is described with Hamilton's…

Artificial Intelligence · Computer Science 2024-07-18 Katsiaryna Haitsiukevich , Alexander Ilin