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The interpolation of high-dimensional potential energy surfaces (PESs) is commonly done with physically-inspired deep-neural network models. In this work, we illustrate that Gaussian Processes (GPs) are also capable of interpolating…

化学物理 · 物理学 2021-09-30 Rodrigo A. Vargas-Hernández , Jake R. Gardner

Gaussian process regression has recently emerged as a powerful, system-agnostic tool for building global potential energy surfaces (PES) of polyatomic molecules. While the accuracy of GP models of PES increases with the number of potential…

化学物理 · 物理学 2019-07-23 Jun Dai , Roman V. Krems

We explore the performance of a statistical learning technique based on Gaussian Process (GP) regression as an efficient non-parametric method for constructing multi-dimensional potential energy surfaces (PES) for polyatomic molecules.…

化学物理 · 物理学 2016-11-23 Jie Cui , Roman V. Krems

With gates of a quantum computer designed to encode multi-dimensional vectors, projections of quantum computer states onto specific qubit states can produce kernels of reproducing kernel Hilbert spaces. We show that quantum kernels obtained…

量子物理 · 物理学 2024-06-19 Jun Dai , Roman V. Krems

The generalization accuracy of machine learning models of potential energy surfaces (PES) and force fields (FF) for large polyatomic molecules can be generally improved either by increasing the number of training points or by improving the…

化学物理 · 物理学 2023-03-20 K. Asnaashari , R. V. Krems

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…

Kernel models of potential energy surfaces (PES) for polyatomic molecules are often restricted by a specific choice of the kernel function. This can be avoided by optimizing the complexity of the kernel function. For regression problems…

化学物理 · 物理学 2023-05-02 Jun Dai , Roman V. Krems

We show that a Gaussian Process model can be combined with a small number (of order 100) of scattering calculations to provide a multi-dimensional dependence of scattering observables on the experimentally controllable parameters such as…

化学物理 · 物理学 2015-08-19 Jie Cui , Roman V. Krems

We propose a machine-learning approach based on Bayesian optimization to build global potential energy surfaces (PES) for reactive molecular systems using feedback from quantum scattering calculations. The method is designed to correct for…

化学物理 · 物理学 2019-03-27 R. A. Vargas-Hernández , Y. Guan , D. H. Zhang , R. V. Krems

The accurate modeling of non-covalent interactions between helium and graphitic materials is important for understanding quantum phenomena in reduced dimensions, with the helium-benzene complex serving as the fundamental prototype. However,…

The theoretical investigation of gas adsorption, storage, separation, diffusion and related transport processes in porous materials relies on a detailed knowledge of the potential energy surface of molecules in a stationary environment. In…

化学物理 · 物理学 2025-01-30 Johannes K. Krondorfer , Christian W. Binder , Andreas W. Hauser

Computing high-dimensional potential energy surfaces for molecular systems and materials is considered to be a great challenge in computational chemistry with potential impact in a range of areas including the fundamental prediction of…

机器学习 · 计算机科学 2026-05-07 Xiao Zhu , Srinivasan S. Iyengar

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

统计方法学 · 统计学 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

We present a new program implementation of the gaussian process regression adaptive density-guided approach [J. Chem. Phys. 153 (2020) 064105] in the MidasCpp program. A number of technical and methodological improvements made allowed us to…

化学物理 · 物理学 2023-07-26 Denis G. Artiukhin , Ian H. Godtliebsen , Gunnar Schmitz , Ove Christiansen

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…

材料科学 · 物理学 2014-07-11 Atsuto Seko , Akira Takahashi , Isao Tanaka

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…

化学物理 · 物理学 2022-06-09 Yanxian Tao , Xiongzhi Zeng , Yi Fan , Jie Liu , Zhenyu Li , Jinlong Yang

Constructing accurate, high dimensional molecular potential energy surfaces (PESs) for polyatomic molecules is challenging. Reproducing Kernel Hilbert space (RKHS) interpolation is an efficient way to construct such PESs. However, the…

化学物理 · 物理学 2020-11-06 Debasish Koner , Markus Meuwly

We investigate the endofullerene system $^3$He@C$_{60}$ with a four-dimensional Potential Energy Surface (PES) to include the three He translational degrees of freedom and C$_{60}$ cage radius. We compare MP2, SCS-MP2, SOS-MP2, RPA@PBE and…

化学物理 · 物理学 2024-03-19 K. Panchagnula , D. Graf , F. E. A. Albertani , A. J. W. Thom

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…

化学物理 · 物理学 2022-05-04 Subodh S. Khire , Nalini D. Gurav , Apurba Nandi , Shridhar R. Gadre

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…

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