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Gaussian process (GP) regression provides a strategy for accelerating saddle point searches on high-dimensional energy surfaces by reducing the number of times the energy and its derivatives with respect to atomic coordinates need to be…

Chemical Physics · Physics 2025-12-03 Rohit Goswami , Hannes Jónsson

We demonstrate how the Gaussian process regression approach can be used to efficiently reconstruct free energy surfaces from umbrella sampling simulations. By making a prior assumption of smoothness and taking account of the sampling noise…

Statistical Mechanics · Physics 2014-07-25 Thomas Stecher , Noam Bernstein , Gábor Csányi

Global dynamics in nonlinear stochastic systems is often difficult to analyze rigorously. Yet, many excellent numerical methods exist to approximate these systems. In this work, we propose a method to bridge the gap between computation and…

Dynamical Systems · Mathematics 2019-01-07 Maxime Breden , Christian Kuehn

We show that neural networks can be optimized to represent minimum energy paths as continuous functions, offering a flexible alternative to discrete path-search methods such as Nudged Elastic Band (NEB). Our approach parameterizes reaction…

Machine Learning · Computer Science 2025-07-10 Kalyan Ramakrishnan , Lars L. Schaaf , Chen Lin , Guangrun Wang , Philip Torr

We have calculated the migration barriers for surface diffusion on Tungsten. Our results form a self-sufficient parameterization for Kinetic Monte Carlo simulations of arbitrarily rough atomic tungsten surfaces, as well as nanostructures…

A new methodology of simulating nonadiabatic dynamics using frozen-width Gaussian wavepackets within the moving crude adiabatic representation with the on-the-fly evaluation of electronic structure is presented. The main feature of the new…

Chemical Physics · Physics 2018-04-04 Loïc Joubert-Doriol , Artur F. Izmaylov

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…

Chemical Physics · Physics 2025-01-30 Johannes K. Krondorfer , Christian W. Binder , Andreas W. Hauser

Ab initio instanton rate theory is a computational method for rigorously including tunnelling effects into calculations of chemical reaction rates based on a potential-energy surface computed on the fly from electronic-structure theory.…

Chemical Physics · Physics 2018-05-08 Gabriel Laude , Danilo Calderini , David P. Tew , Jeremy O. Richardson

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

Materials Science · Physics 2016-08-03 Bastian Schaefer , Stefan Goedecker

The minimum energy path (MEP) is the most probable transition path that connects two equilibrium states of a potential energy landscape. It has been widely used to study transition mechanisms as well as transition rates in the fields of…

Numerical Analysis · Mathematics 2022-07-01 Xuanyu Liu , Huajie Chen , Christoph Ortner

Gaussian processes regression is applied to augment experimental data of transfer-path analysis (TPA) by known information about the underlying physical properties of the system under investigation. The approach can be used as an…

Classical Physics · Physics 2019-05-21 Christopher Albert

We implemented a gradient-based algorithm for transition state search which uses Gaussian process regression. Besides a description of the algorithm, we provide a method to find the starting point for the optimization if only the reactant…

Chemical Physics · Physics 2020-09-15 Alexander Denzel , Johannes Kästner

A practical method for finding free energy barriers for transitions in high-dimensional classical and quantum systems is presented and used to calculate the dissociative sticking probability of H2 on a metal surface within transition state…

chem-ph · Physics 2009-10-22 Gregory Mills , Hannes Jonsson

The minimum energy path (MEP) describes the mechanism of reaction, and the energy barrier along the path can be used to calculate the reaction rate in thermal systems. The nudged elastic band (NEB) method is one of the most commonly used…

Numerical Analysis · Mathematics 2025-03-24 Xuanyu Liu , Huajie Chen , Christoph Ortner

We develop a Gaussian process regression enhanced line integral string method to accelerate ring polymer instanton calculations of tunneling rates and tunneling splittings in molecular proton transfer reactions. By exploiting uncertainty…

Chemical Physics · Physics 2026-02-20 Chenghao Zhang , Amke Nimmrich , Axel Gomez , Munira Khalil , Niranjan Govind

The search for new computational tasks of quantum chemistry that can be performed on current quantum computers is important for the development of quantum computing and quantum chemistry. Although calculations of chemical reactions have a…

Quantum Physics · Physics 2022-04-01 Shu Kanno

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…

Chemical Physics · Physics 2023-07-26 Denis G. Artiukhin , Ian H. Godtliebsen , Gunnar Schmitz , Ove Christiansen

Several recent methods for tomographic reconstruction of stress and strain fields from Bragg-edge neutron strain images have been proposed in the literature. This paper presents an extension of a previously demonstrated approach based on…

Instrumentation and Detectors · Physics 2019-09-26 J. N. Hendriks , A. W. T. Gregg , C. M. Wensrich , W. Wills

Chemical reactions are often associated with an energy barrier along the reaction pathway which hinders the spontaneity of the reaction. Changing the energy barrier along the reaction pathway allows one to modulate the performance of a…

Computational Physics · Physics 2018-09-26 Sudipta Kundu , Satadeep Bhattacharjee , Seung-Cheol Lee , Manish Jain

A physics-constrained Gaussian Process regression framework is developed for predicting shocked material states along the Hugoniot curve using data from a small number of shockwave simulations. The proposed Gaussian process employs a…

Computational Engineering, Finance, and Science · Computer Science 2026-01-13 George D. Pasparakis , Himanshu Sharma , Rushik Desai , Chunyu Li , Alejandro Strachan , Lori Graham-Brady , Michael D. Shields