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The accuracy of any machine learning potential can only be as good as the data used in the fitting process. The most efficient model therefore selects the training data that will yield the highest accuracy compared to the cost of obtaining…

Chemical Physics · Physics 2020-07-21 Anders S. Christensen , O. Anatole von Lilienfeld

Data science and artificial intelligence are playing an increasingly important role in the physical sciences. Unfortunately, in the field of energetic materials data scarcity limits the accuracy and even applicability of ML tools. To…

We propose a simple scheme to estimate potential energy surface (PES) with which the accuracy can be easily controlled and improved up to the level of the density functional theory (DFT) calculations. It is based on a model selection within…

Materials Science · Physics 2014-07-11 Atsuto Seko , Akira Takahashi , Isao Tanaka

Neural networks have been identified as powerful tools for the study of complex systems. A noteworthy example is the neural network differential equation (NN DE) solver, which can provide functional approximations to the solutions of a wide…

Machine Learning · Computer Science 2021-01-29 Akshunna S. Dogra , William T Redman

Two-dimensional electronic spectroscopy (2DES) has enabled significant discoveries in both biological and synthetic energy-transducing systems. Although deriving chemical information from 2DES is a complex task, machine learning (ML) offers…

Chemical Physics · Physics 2025-03-21 Jonathan D. Schultz , Kelsey A. Parker , Bashir Sbaiti , David N. Beratan

The structure and dynamics of a molecular system is governed by its potential energy surface (PES), representing the total energy as a function of the nuclear coordinates. Obtaining accurate potential energy surfaces is limited by the…

Chemical Physics · Physics 2023-09-29 Karl P. Horn , Luis Itza Vazquez-Salazar , Christiane P. Koch , Markus Meuwly

Potential Energy Surfaces (PESs) are an indispensable tool to investigate, characterise and understand chemical and biological systems in the gas and condensed phases. Advances in Machine Learning (ML) methodologies have led to the…

Chemical Physics · Physics 2025-11-04 Valerii Andreichev , Sena Aydin , Kai Töpfer , Markus Meuwly , Luis Itza Vazquez-Salazar

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

Many scientific and industrial applications require solving Partial Differential Equations (PDEs) to describe the physical phenomena of interest. Some examples can be found in the fields of aerodynamics, astrodynamics, combustion and many…

Computational Physics · Physics 2019-12-11 Juan B. Pedro , Juan Maroñas , Roberto Paredes

Machine learning potentials (MLPs) are widely applied as an efficient alternative way to represent potential energy surfaces (PES) in many chemical simulations. The MLPs are often evaluated with the root-mean-square errors on the test set…

Energy functions for pure and heterogenous systems are one of the backbones for molecular simulation of condensed phase systems. With the advent of machine learned potential energy surfaces (ML-PESs) a new era has started. Statistical…

An efficient and trajectory-free active learning method is proposed to automatically sample data points for constructing globally accurate reactive potential energy surfaces (PESs) using neural networks (NNs). Although NNs do not provide…

Chemical Physics · Physics 2020-05-20 Qidong Lin , Yaolong Zhang , Bin Zhao , Bin Jiang

The commitment to single-precision floating-point arithmetic is widespread in the deep learning community. To evaluate whether this commitment is justified, the influence of computing precision (single and double precision) on the…

Machine Learning · Computer Science 2022-11-01 Tomas Hrycej , Bernhard Bermeitinger , Siegfried Handschuh

We explore unique considerations involved in fitting ML models to data with very high precision, as is often required for science applications. We empirically compare various function approximation methods and study how they scale with…

Machine Learning · Computer Science 2023-02-01 Eric J. Michaud , Ziming Liu , Max Tegmark

Dynamics of flexible molecules are often determined by an interplay between local chemical bond fluctuations and conformational changes driven by long-range electrostatics and van der Waals interactions. This interplay between interactions…

Chemical Physics · Physics 2021-03-05 Valentin Vassilev-Galindo , Gregory Fonseca , Igor Poltavsky , Alexandre Tkatchenko

In recent years, machine learning has demonstrated impressive capability in handling molecular science tasks. To support various molecular properties at scale, machine learning models are trained in the multi-task learning paradigm.…

Machine Learning · Computer Science 2024-10-15 Yuxuan Ren , Dihan Zheng , Chang Liu , Peiran Jin , Yu Shi , Lin Huang , Jiyan He , Shengjie Luo , Tao Qin , Tie-Yan Liu

A fundamental limitation of traditional Neural Networks (NN) in predictive modelling is their inability to quantify uncertainty in their outputs. In critical applications like positioning systems, understanding the reliability of…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Miquel Garcia-Fernandez

The practice of collider physics typically involves the marginalization of multi-dimensional collider data to uni-dimensional observables relevant for some physics task. In any cases, such as classification or anomaly detection, the…

High Energy Physics - Phenomenology · Physics 2026-03-26 Arindam Bhattacharya , Katherine Fraser , Matthew D. Schwartz

A neural network-based machine learning potential energy surface (PES) expressed in a matrix product operator (NN-MPO) is proposed. The MPO form enables efficient evaluation of high-dimensional integrals that arise in solving the…

Machine Learning · Computer Science 2025-05-07 Kentaro Hino , Yuki Kurashige

Recently, researchers have utilized neural networks to accurately solve partial differential equations (PDEs), enabling the mesh-free method for scientific computation. Unfortunately, the network performance drops when encountering a high…

Machine Learning · Computer Science 2021-09-29 Pongpisit Thanasutives , Masayuki Numao , Ken-ichi Fukui