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While machine learning (ML) models have been able to achieve unprecedented accuracies across various prediction tasks in quantum chemistry, it is now apparent that accuracy on a test set alone is not a guarantee for robust chemical modeling…

Graph Neural Networks (GNNs) have been widely adopted for drug discovery with molecular graphs. Nevertheless, current GNNs mainly excel in leveraging short-range interactions (SRI) but struggle to capture long-range interactions (LRI), both…

Machine Learning · Computer Science 2024-04-02 Xuan Li , Zhanke Zhou , Jiangchao Yao , Yu Rong , Lu Zhang , Bo Han

Theory of long-range interactions between an atom in its ground S state and a linear molecule in a degenerate state with a non-zero projection of the electronic orbital angular momentum is presented. It is shown how the long-range…

Chemical Physics · Physics 2015-05-20 Wojciech Skomorowski , Robert Moszynski

By adopting a perspective informed by contemporary liquid state theory, we consider how to train an artificial neural network potential to describe inhomogeneous, disordered systems. We find that neural network potentials based on local…

Chemical Physics · Physics 2021-11-10 Samuel P. Niblett , Mirza Galib , David T. Limmer

The H\"uckel Hamiltonian is an incredibly simple tight-binding model famed for its ability to capture qualitative physics phenomena arising from electron interactions in molecules and materials. Part of its simplicity arises from using only…

We introduce the Hierarchically Interacting Particle Neural Network (HIP-NN) to model molecular properties from datasets of quantum calculations. Inspired by a many-body expansion, HIP-NN decomposes properties, such as energy, as a sum over…

Machine Learning · Statistics 2018-04-04 Nicholas Lubbers , Justin S. Smith , Kipton Barros

Machine Learning (ML) interatomic models and potentials have been widely employed in simulations of materials. Long-range interactions often dominate in some ionic systems whose dynamics behavior is significantly influenced. However, the…

Materials Science · Physics 2022-12-01 Hongyu Yu , Liangliang Hong , Shiyou Chen , Xingao Gong , Hongjun Xiang

Predicting electronic energies, densities, and related chemical properties can facilitate the discovery of novel catalysts, medicines, and battery materials. By developing a physics-inspired equivariant neural network, we introduce a method…

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…

In the past two decades, machine learning potentials (MLP) have reached a level of maturity that now enables applications to large-scale atomistic simulations of a wide range of systems in chemistry, physics and materials science. Different…

Chemical Physics · Physics 2021-07-09 Emir Kocer , Tsz Wai Ko , Jörg Behler

The term "long-range interactions" refers to electrostatic and magnetostatic potential energies between atoms and molecules with mutual distances ranging from a few tens to a few hundreds Bohr radii. The involved energies are much smaller…

Quantum Physics · Physics 2017-04-11 Maxence Lepers , Olivier Dulieu

In this paper, we present a physically informed neural network representation of the effective interactions associated with coupled-cluster downfolding models to describe chemical systems and processes. The neural network representation not…

Quantum Physics · Physics 2025-01-28 Senwei Liang , Karol Kowalski , Chao Yang , Nicholas P. Bauman

We discuss modeling of nuclear structure beyond the 2-body interaction paradigm. Our first example is related to the need of three nucleon contact interaction terms suggested by chiral perturbation theory. The relationship of the two…

Nuclear Theory · Physics 2019-08-27 V. G. Gueorguiev

Characterizing the correlated behavior of nucleons inside atomic nuclei constitutes a long-standing challenge, both experimentally and theoretically. It has recently been understood that two-particle correlations in the azimuthal…

Nuclear Theory · Physics 2026-03-04 Stavros Bofos , Benjamin Bally , Thomas Duguet , Mikael Frosini

A neural network is used to train, predict, and evaluate a model to calculate the energies of 3-dimensional systems composed of Ti and O atoms. Python classes are implemented to quantify atomic interactions through symmetry functions and to…

Computational Physics · Physics 2024-04-30 James Paolo Rili

Mathematical modeling of lithium-ion batteries (LiBs) is a primary challenge in advanced battery management. This paper proposes two new frameworks to integrate physics-based models with machine learning to achieve high-precision modeling…

Computational Engineering, Finance, and Science · Computer Science 2024-08-23 Hao Tu , Scott Moura , Yebin Wang , Huazhen Fang

Machine learning has the potential to revolutionize the field of molecular simulation through the development of efficient and accurate models of interatomic interactions. In particular, neural network models can describe interactions at…

Chemical Physics · Physics 2022-04-06 Ang Gao , Richard C. Remsing

Reasoning about objects, relations, and physics is central to human intelligence, and a key goal of artificial intelligence. Here we introduce the interaction network, a model which can reason about how objects in complex systems interact,…

Artificial Intelligence · Computer Science 2016-12-02 Peter W. Battaglia , Razvan Pascanu , Matthew Lai , Danilo Rezende , Koray Kavukcuoglu

A central concern of molecular dynamics simulations are the potential energy surfaces that govern atomic interactions. These hypersurfaces define the potential energy of the system, and have generally been calculated using either predefined…

Computational Physics · Physics 2019-07-05 Emir Kocer , Jeremy K. Mason , Hakan Erturk

Model Hamiltonians with long-range interaction yield energies that are corrected taking into account the universal behavior of the electron-electron interaction at short range. Although the intention of the paper is to explore the…

Chemical Physics · Physics 2020-10-28 Andreas Savin
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