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We present design and implementation of a novel neural network potential (NNP) and its combination with an electrostatic embedding scheme, commonly used within the context of hybrid quantum-mechanical/molecular-mechanical (QM/MM)…

Chemical Physics · Physics 2025-08-15 Felix Pultar , Moritz Thuerlemann , Igor Gordiy , Eva Doloszeski , Sereina Riniker

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

Universal machine-learning interatomic potentials (uMLIPs) enable reactive molecular simulations with near-DFT accuracy, yet applying them efficiently to large, realistic condensed-phase systems remains computationally demanding. Here we…

Materials Science · Physics 2026-03-25 Yu Miyazaki , Atsuhiro Tomita , Akihide Hayashi , So Takamoto , Mizuki Takemoto , Hodaka Mori

Normalizing flows (NFs) have become a prominent method for deep generative models that allow for an analytic probability density estimation and efficient synthesis. However, a flow-based network is considered to be inefficient in parameter…

Machine Learning · Computer Science 2020-10-26 Sang-gil Lee , Sungwon Kim , Sungroh Yoon

Neural network force fields have significantly advanced ab initio atomistic simulations across diverse fields. However, their application in the realm of magnetic materials is still in its early stage due to challenges posed by the subtle…

Materials Science · Physics 2024-02-08 Zilong Yuan , Zhiming Xu , He Li , Xinle Cheng , Honggeng Tao , Zechen Tang , Zhiyuan Zhou , Wenhui Duan , Yong Xu

Neural Network Potentials (NNPs) have attracted significant attention as a method for accelerating density functional theory (DFT) calculations. However, conventional NNP models typically do not incorporate spin degrees of freedom, limiting…

Materials Science · Physics 2024-09-10 Koki Ueno , Satoru Ohuchi , Kazuhide Ichikawa , Kei Amii , Kensuke Wakasugi

Machine learning potentials (MLPs) developed from extensive datasets constructed from density functional theory (DFT) calculations have become increasingly appealing for many researchers. This paper presents a framework of polynomial-based…

Materials Science · Physics 2022-09-29 Atsuto Seko

Material characterization in nano-mechanical tests requires precise interatomic potentials for the computation of atomic energies and forces with near-quantum accuracy. For such purposes, we develop a robust neural-network interatomic…

Neural Networks (NNs) are the method of choice for building learning algorithms. Their popularity stems from their empirical success on several challenging learning problems. However, most scholars agree that a convincing theoretical…

Numerical Analysis · Mathematics 2021-01-01 Ronald DeVore , Boris Hanin , Guergana Petrova

All-atom molecular simulations offer detailed insights into macromolecular phenomena, but their substantial computational cost hinders the exploration of complex biological processes. We introduce Advanced Machine-learning Atomic…

Biomolecules · Quantitative Biology 2024-11-12 Antonio Mirarchi , Raul P. Pelaez , Guillem Simeon , Gianni De Fabritiis

Conventional Neural Networks can approximate simple arithmetic operations, but fail to generalize beyond the range of numbers that were seen during training. Neural Arithmetic Units aim to overcome this difficulty, but current arithmetic…

Machine Learning · Computer Science 2020-12-18 Niklas Heim , Tomáš Pevný , Václav Šmídl

Calculating true volatility is an essential task for option pricing and risk management. However, it is made difficult by market microstructure noise. Particle filtering has been proposed to solve this problem as it favorable statistical…

Statistical Finance · Quantitative Finance 2023-11-14 Robert Stok , Paul Bilokon

Density-potential functional theory (DPFT) is an alternative formulation of orbital-free density functional theory that may be suitable for modeling the electronic structure of large systems. To date, DPFT has been applied mainly to quantum…

Materials Science · Physics 2023-04-21 Martin-Isbjörn Trappe , William C. Witt , Sergei Manzhos

Machine learning potentials have emerged as a powerful tool to extend the time and length scales of first principles-quality simulations. Still, most machine learning potentials cannot distinguish different electronic spin orientations and…

Computational Physics · Physics 2022-01-25 Marco Eckhoff , Jörg Behler

A neuroevolution potential (NEP) for the ternary $\alpha$-Fe--C--H system was developed based on a database generated from spin-polarized density functional theory (DFT) calculations, achieving empirical potential efficiency with DFT…

Materials Science · Physics 2025-10-23 Fan-Shun Meng , Shuhei Shinzato , Zhiqiang Zhao , Jun-Ping Du , Lei Gao , Zheyong Fan , Shigenobu Ogata

Neural networks have been applied to tackle many-body electron correlations for small molecules and physical models in recent years. Here we propose a new architecture that extends molecular neural networks with the inclusion of periodic…

Chemical Physics · Physics 2023-01-11 Xiang Li , Zhe Li , Ji Chen

Neural networks have revolutionized the area of artificial intelligence and introduced transformative applications to almost every scientific field and industry. However, this success comes at a great price; the energy requirements for…

We employ neural networks to improve and speed up optical force calculations for dielectric particles. The network is first trained on a limited set of data obtained through accurate light scattering calculations, based on the Transition…

Machine learning potentials have become an important tool for atomistic simulations in many fields, from chemistry via molecular biology to materials science. Most of the established methods, however, rely on local properties and are thus…

Materials Science · Physics 2021-03-17 Tsz Wai Ko , Jonas A. Finkler , Stefan Goedecker , Jörg Behler

Metal-organic frameworks (MOFs) are nanoporous compounds composed of metal ions and organic linkers. MOFs play an important role in industrial applications such as gas separation, gas purification, and electrolytic catalysis. Important MOF…

Machine Learning · Computer Science 2020-11-02 Shehtab Zaman , Christopher Owen , Kenneth Chiu , Michael Lawler