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Recently, physics informed neural networks have successfully been applied to a broad variety of problems in applied mathematics and engineering. The principle idea is to use a neural network as a global ansatz function to partial…

机器学习 · 计算机科学 2022-03-28 Alexander Henkes , Henning Wessels , Rolf Mahnken

Recognizing symmetries in data allows for significant boosts in neural network training, which is especially important where training data are limited. In many cases, however, the exact underlying symmetry is present only in an idealized…

高能物理 - 唯象学 · 物理学 2025-04-07 Seth Nabat , Aishik Ghosh , Edmund Witkowski , Gregor Kasieczka , Daniel Whiteson

Machine learning models for the potential energy of multi-atomic systems, such as the deep potential (DP) model, make possible molecular simulations with the accuracy of quantum mechanical density functional theory, at a cost only…

We propose a novel approach for deformation-aware neural networks that learn the weighting and synthesis of dense volumetric deformation fields. Our method specifically targets the space-time representation of physical surfaces from liquid…

图形学 · 计算机科学 2019-02-21 Lukas Prantl , Boris Bonev , Nils Thuerey

Structural and thermodynamic properties of ionic fluids are related to those of a simpler ``mimic'' system with short ranged intermolecular interactions in a spatially varying effective field by use of Local Molecular Field (LMF) theory,…

统计力学 · 物理学 2007-05-23 Yng-gwei Chen , Charanbir Kaur , John D. Weeks

We describe N-body networks, a neural network architecture for learning the behavior and properties of complex many body physical systems. Our specific application is to learn atomic potential energy surfaces for use in molecular dynamics…

机器学习 · 计算机科学 2018-03-06 Risi Kondor

Reactive force fields for molecular dynamics have enabled a wide range of studies in numerous material classes. These force fields are computationally inexpensive as compared to electronic structure calculations and allow for simulations of…

We show that the intelligence of the machine-learning potential arises from its ability to infer the reference atomic-energy function from a given set of total energies. By utilizing invariant points in the feature space at which the atomic…

计算物理 · 物理学 2019-09-05 Dongsun Yoo , Kyuhyun Lee , Wonseok Jeong , Satoshi Watanabe , Seungwu Han

Simulating water from first principles remains a significant computational challenge due to the slow dynamics of the underlying system. Although machine-learned interatomic potentials (MLPs) can accelerate these simulations, they often fail…

化学物理 · 物理学 2026-01-30 Tobias Hilpert , Georg Kresse

Perceptual learning enables humans to recognize and represent stimuli invariant to various transformations and build a consistent representation of the self and physical world. Such representations preserve the invariant physical relations…

神经与进化计算 · 计算机科学 2020-07-02 Du Xiaorui , Yavuzhan Erdem , Immanuel Schweizer , Cristian Axenie

We show that spherical truncations of the 1/r interactions in models for water and acetonitrile yield very accurate results in bulk simulations for all site-site pair correlation functions as well as dipole-dipole correlation functions.…

统计力学 · 物理学 2015-05-20 Jocelyn M. Rodgers , Zhonghan Hu , John D. Weeks

Accurate and efficient theoretical techniques for describing ionic fluids are highly desirable for many applications across the physical, biological and materials sciences. With a rigorous statistical mechanical foundation, classical…

统计力学 · 物理学 2025-04-14 Anna T. Bui , Stephen J. Cox

We design an optical feedback network making use of machine learning techniques and demonstrate via simulations its ability to correct for the effects of turbulent propagation on optical modes. This artificial neural network scheme only…

信号处理 · 电气工程与系统科学 2018-06-22 Sanjaya Lohani , Ryan T. Glasser

We present a novel approach to modelling and learning vector fields from physical systems using neural networks that explicitly satisfy known linear operator constraints. To achieve this, the target function is modelled as a linear…

机器学习 · 统计学 2021-04-29 Johannes Hendriks , Carl Jidling , Adrian Wills , Thomas Schön

Rigid body interactions are fundamental to numerous scientific disciplines, but remain challenging to simulate due to their abrupt nonlinear nature and sensitivity to complex, often unknown environmental factors. These challenges call for…

机器学习 · 计算机科学 2025-07-28 Amaury Wei , Olga Fink

Simulating interactions between non-spherical colloidal particles is computationally challenging due to the complex dependency of forces and energies on their geometry. We introduce and evaluate both descriptor-based and end-to-end models…

软凝聚态物质 · 物理学 2025-09-22 B. Rusen Argun , Antonia Statt

The number of parameters in state of the art neural networks has drastically increased in recent years. This surge of interest in large scale neural networks has motivated the development of new distributed training strategies enabling such…

机器学习 · 计算机科学 2022-07-11 Aidan N. Gomez , Oscar Key , Kuba Perlin , Stephen Gou , Nick Frosst , Jeff Dean , Yarin Gal

In this work we propose an artificial neural network functional to the ground-state energy of fermionic interacting particles in homogeneous chains described by the Hubbard model. Our neural network functional was proven to has an excellent…

计算物理 · 物理学 2019-02-18 C. A. Custodio , E. R. Filletti , V. V. França

The dielectric nature of polar liquids underpins much of their ability to act as useful solvents, but its description is complicated by the long-ranged nature of dipolar interactions. This is particularly pronounced under the periodic…

软凝聚态物质 · 物理学 2021-03-25 Stephen J. Cox

In a physical neural system, where storage and processing are intimately intertwined, the rules for adjusting the synaptic weights can only depend on variables that are available locally, such as the activity of the pre- and post-synaptic…

机器学习 · 计算机科学 2016-10-25 Pierre Baldi , Peter Sadowski