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A method for solving elasticity problems based on separable physics-informed neural networks (SPINN) in conjunction with the deep energy method (DEM) is presented. Numerical experiments have been carried out for a number of problems showing…

Numerical Analysis · Mathematics 2024-01-25 Vasiliy A. Es'kin , Danil V. Davydov , Julia V. Gur'eva , Alexey O. Malkhanov , Mikhail E. Smorkalov

While machine learning (ML) interatomic potentials (IPs) are able to achieve accuracies nearing the level of noise inherent in the first-principles data to which they are trained, it remains to be shown if their increased complexities are…

Materials Science · Physics 2023-10-05 Joshua A. Vita , Dallas R. Trinkle

We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers, unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical beams stiff polymers easily deform in bending,…

Soft Condensed Matter · Physics 2007-11-26 C. Heussinger , B. Schaefer , E. Frey

Physical Neural Networks (PNN) are promising platforms for next-generation computing systems. However, recent advances in digital neural network performance are largely driven by the rapid growth in the number of trainable parameters and,…

Machine Learning · Computer Science 2025-11-19 Kohei Tsuchiyama , Andre Roehm , Takatomo Mihana , Ryoichi Horisaki

Calibrating and verifying crystal plasticity material models is a significant challenge, particularly for materials with a number of potential slip and twin systems. Here we use digital image correlation on coarse-grained $\alpha$-uranium…

Materials Science · Physics 2020-11-24 Nicolò Grilli , Philip Earp , Alan C. F. Cocks , James Marrow , Edmund Tarleton

The recently proposed crystal graph convolutional neural network (CGCNN) offers a highly versatile and accurate machine learning (ML) framework by learning material properties directly from graph-like representations of crystal structures…

Computational Physics · Physics 2020-07-01 Cheol Woo Park , Chris Wolverton

The application of molecular dynamics (MD) simulations to the interpretation of Raman scattering spectra is hindered by inability of atomistic simulations to account for the dynamic evolution of electronic polarizability, requiring the use…

Materials Science · Physics 2023-04-18 Atanu Paul , Anthony Ruffino , Stefan Masiuk , Jonathan Spanier , Ilya Grinberg

Self-supervised neural language models have recently achieved unprecedented success, from natural language processing to learning the languages of biological sequences and organic molecules. These models have demonstrated superior…

In the domain of machine learning, Neural Memory Networks (NMNs) have recently achieved impressive results in a variety of application areas including visual question answering, trajectory prediction, object tracking, and language…

Neural and Evolutionary Computing · Computer Science 2019-10-15 Tharindu Fernando , Simon Denman , David Ahmedt-Aristizabal , Sridha Sridharan , Kristin Laurens , Patrick Johnston , Clinton Fookes

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

Integro-differential equations arise in a wide range of applications, including transport, kinetic theory, radiative transfer, and multiphysics modeling, where nonlocal integral operators couple the solution across phase space. Such…

Numerical Analysis · Mathematics 2026-04-16 Haoning Dang , Fei Wang , Yifan Chen , Zhouyu Liu , Dong Liu , Hongchun Wu

Developing a reliable vision system is a fundamental challenge for robotic technologies (e.g., indoor service robots and outdoor autonomous robots) which can ensure reliable navigation even in challenging environments such as adverse…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Elena Camuffo , Umberto Michieli , Simone Milani , Jijoong Moon , Mete Ozay

We develop a data-driven machine learning approach to identifying parameters with steady-state solutions, locating such solutions, and determining their linear stability for systems of ordinary differential equations and dynamical systems…

Numerical Analysis · Mathematics 2025-03-11 Yimeng Zhang , Alexander Cloninger , Bo Li , Xiaochuan Tian

The mechanical properties of molecules are today captured by single molecule manipulation experiments, so that polymer features are tested at a nanometric scale. Yet devising mathematical models to get further insight beyond the commonly…

As artificial neural networks (ANNs) continue to make strides in wide-ranging and diverse fields of technology, the search for more efficient hardware implementations beyond conventional electronics is gaining traction. In particular,…

Emerging Technologies · Computer Science 2021-07-01 Albert Ryou , James Whitehead , Maksym Zhelyeznyakov , Paul Anderson , Cem Keskin , Michal Bajcsy , Arka Majumdar

Artificial neural network (ANN) potentials enable the efficient large-scale atomistic modeling of complex materials with near first-principles accuracy. For molecular dynamics simulations, accurate energies and interatomic forces are a…

Computational Physics · Physics 2020-05-05 April M. Cooper , Johannes Kästner , Alexander Urban , Nongnuch Artrith

This article presents a spiking neuroevolutionary system which implements memristors as plastic connections, i.e. whose weights can vary during a trial. The evolutionary design process exploits parameter self-adaptation and variable…

Emerging Technologies · Computer Science 2012-12-17 Gerard Howard , Ella Gale , Larry Bull , Ben de Lacy Costello , Andy Adamatzky

First-principles based modeling on phonon dynamics and transport using density functional theory and Boltzmann transport equation has proven powerful in predicting thermal conductivity of crystalline materials, but it remains unfeasible for…

Materials Science · Physics 2019-07-23 Xin Qian , Shenyou Peng , Xiaobo Li , Yujie Wei , Ronggui Yang

In recent years, Graph Neural Networks (GNNs) have achieved remarkable success in many graph mining tasks. However, scaling them to large graphs is challenging due to the high computational and storage costs of repeated feature propagation…

Machine Learning · Computer Science 2025-04-11 Yuxuan Liang , Wentao Zhang , Zeang Sheng , Ling Yang , Quanqing Xu , Jiawei Jiang , Yunhai Tong , Bin Cui

This work presents a methodology to predict a near-optimal spacing function, which defines the element sizes, suitable to perform steady RANS turbulent viscous flow simulations. The strategy aims at utilising existing high fidelity…

Computational Engineering, Finance, and Science · Computer Science 2024-06-25 Sergi Sanchez-Gamero , Oubay Hassan , Ruben Sevilla
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