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We propose a method that exploits sparse representation of potential energy surfaces (PES) on a polynomial basis set selected by compressed sensing. The method is useful for studies involving large numbers of PES evaluations, such as the…

Chemical Physics · Physics 2018-08-10 Prashant Rai , Khachik Sargsyan , Habib Najm , So Hirata

The potential energy surface (PES) is crucial for interpreting a variety of chemical reaction processes. However, predicting accurate PESs with high-level electronic structure methods is a challenging task due to the high computational…

Chemical Physics · Physics 2022-06-09 Yanxian Tao , Xiongzhi Zeng , Yi Fan , Jie Liu , Zhenyu Li , Jinlong Yang

Accurate, global Potential Energy Surfaces (PES) expressed in sum-of-products (SOP) form are a prerequisite for efficient high-dimensional quantum dynamics simulations using the MCTDH method. This work introduces a methodology for…

Chemical Physics · Physics 2026-03-31 Antoine Aerts

Accurate potential energy surface (PES) descriptions are essential for atomistic simulations of materials. Universal machine learning interatomic potentials (UMLIPs)$^{1-3}$ offer a computationally efficient alternative to density…

Machine Learning (ML) approximations to Density Functional Theory (DFT) potential energy surfaces (PESs) are showing great promise for reducing the computational cost of accurate molecular simulations, but at present they are not applicable…

Chemical Physics · Physics 2020-03-05 Xiaowei Xie , Kristin A. Persson , David W. Small

Several pool-based active learning algorithms (AL) were employed to model potential energy surfaces (PESs) with a minimum number of electronic structure calculations. Theoretical and empirical results suggest that superior strategies can be…

Chemical Physics · Physics 2021-10-27 Yahya Saleh , Vishnu Sanjay , Armin Iske , Andrey Yachmenev , Jochen Küpper

A central problem of materials science is to determine whether a hypothetical material is stable without being synthesized, which is mathematically equivalent to a global optimization problem on a highly non-linear and multi-modal potential…

Applications · Statistics 2023-05-02 Arvind Krishna , Huan Tran , Chaofan Huang , Rampi Ramprasad , V. Roshan Joseph

In this paper, we propose a selective sampling procedure to preferentially evaluate a potential energy surface (PES) in a part of the configuration space governing a physical property of interest. The proposed sampling procedure is based on…

In order to predict the potential energy surface (PES) from measured structure in equilibrium state, one should typically perform trial-and-error statistical thermodynamic simulation with assumed multibody interactions. Very recently, we…

Disordered Systems and Neural Networks · Physics 2017-07-11 Koretaka Yuge

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

We propose a machine-learning-based (ML-based) method for efficiently predicting atomic diffusivity in crystals, in which the potential energy surface (PES) of a diffusion carrier is partially evaluated by first-principles calculations. To…

Materials Science · Physics 2020-06-24 Kazuaki Toyoura , Takeo Fujii , Kenta Kanamori , Ichiro Takeuchi

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

Determination of atomic structures is a key challenge in the fields of computational physics and materials science, as a large variety of mechanical, chemical, electronic, and optical properties depend sensitively on structure. Here, we…

Computational Physics · Physics 2021-06-02 Sami Kaappa , Estefanía Garijo del Río , Karsten Wedel Jacobsen

``$\Delta$-machine learning" refers to a machine learning approach to bring a property such as a potential energy surface (PES) based on low-level (LL) density functional theory (DFT) energies and gradients to close to a coupled cluster…

Chemical Physics · Physics 2021-05-21 Apurba Nandi , Chen Qu , Paul Houston , Riccardo Conte , Joel M. Bowman

We present a first principles-quality potential energy surface (PES) describing the inter-atomic forces for hydrogen atoms interacting with free-standing graphene. The PES is a high-dimensional neural network potential that has been…

Atomistic simulations are a powerful tool for studying the dynamics of molecules, proteins, and materials on wide time and length scales. Their reliability and predictiveness, however, depend directly on the accuracy of the underlying…

Chemical Physics · Physics 2024-11-28 Silvan Käser , Debasish Koner , Markus Meuwly

The idea of a Potential Energy Surface (PES) forms the basis of almost all accounts of the mechanisms of chemical reactions, and much of theoretical molecular spectroscopy. It is assumed that, in principle, the PES can be calculated by…

Quantum Physics · Physics 2013-04-10 Brian Sutcliffe , R. Guy Woolley

There has been a veritable explosion of methods and software to perform machine-learned regression on datasets of electronic energies and forces to develop high-dimensional machine learned potential energy surfaces (ML-PESs). A major, but…

The construction of the potential energy surface (PES) of even a medium-sized molecule employing correlated theory, such as CCSD(T), is an arduous task due to the high computational cost. In this Letter, we report the possibility of…

Chemical Physics · Physics 2022-05-04 Subodh S. Khire , Nalini D. Gurav , Apurba Nandi , Shridhar R. Gadre

In this work, we present a new fitting of the Na+HF potential energy surface (PES) utilizing a new optmization method based in Genetic Algorithm. Topology studies, such as isoenergetic contours and Minimum Energy Path(MEP), show that the…

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