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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…

统计力学 · 物理学 2014-07-25 Thomas Stecher , Noam Bernstein , Gábor Csányi

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

An important issue in cosmology is reconstructing the effective dark energy equation of state directly from observations. With few physically motivated models, future dark energy studies cannot only be based on constraining a dark energy…

宇宙学与河外天体物理 · 物理学 2015-06-04 Marina Seikel , Chris Clarkson , Mathew Smith

Simulation of materials at the atomistic level is an important tool in studying microscopic structure and processes. The atomic interactions necessary for the simulation are correctly described by Quantum Mechanics. However, the…

材料科学 · 物理学 2015-03-13 Albert P. Bartók

The nonlinear energy response of cryogenic microcalorimeters is usually corrected through an empirical calibration. X-ray or gamma-ray emission lines of known shape and energy anchor a smooth function that generalizes the calibration data…

仪器与探测器 · 物理学 2022-08-23 J. W. Fowler , B. K. Alpert , G. C. O'Neil , D. S. Swetz , J. N. Ullom

Power system restoration after a major blackout is a complex process, in which selection of energising paths is a key issue to realize unit and load restoration safely and efficiently. In general, the energising path scheme made beforehand…

信号处理 · 电气工程与系统科学 2019-03-13 Shaoyan Li , Xueping Gu , Guangqi Zhou , Yang Li

This work presents a novel method for extracting potential barrier distributions from experimental fusion cross sections. We utilize a simple Gaussian process regression (GPR) framework to model the observed cross sections as a function of…

核理论 · 物理学 2024-06-10 Kyle Godbey

We study numerically the minimum energy path and energy barriers for dislocation nucleation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Stress relaxation processes from coherent to…

材料科学 · 物理学 2009-11-07 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

We describe a robust and efficient chain-of-states method for computing Minimum Energy Paths~(MEPs) associated to barrier-crossing events in poly-atomic systems. The path is parametrized in terms of a continuous variable $t \in [0,1]$ that…

化学物理 · 物理学 2015-10-26 E. R. Hernandez , C. P. Herrero , J. M. Soler

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…

数值分析 · 数学 2022-07-01 Xuanyu Liu , Huajie Chen , Christoph Ortner

Gaussian process regression is a widespread tool used to mitigate stellar correlated noise in radial velocity time series. It is particularly useful to search for and determine the properties of signals induced by small-size, low-mass…

地球与行星天体物理 · 物理学 2019-08-21 M. Damasso , M. Pinamonti , G. Scandariato , A. Sozzetti

Gaussian process (GP) emulator has been used as a surrogate model for predicting force field and molecular potential, to overcome the computational bottleneck of molecular dynamics simulation. Integrating both atomic force and energy in…

化学物理 · 物理学 2022-05-13 Hao Li , Musen Zhou , Jessalyn Sebastian , Jianzhong Wu , Mengyang Gu

Bayesian learning using Gaussian processes provides a foundational framework for making decisions in a manner that balances what is known with what could be learned by gathering data. In this dissertation, we develop techniques for…

机器学习 · 统计学 2022-04-29 Alexander Terenin

Identifying minimum-energy paths (MEPs) is crucial for understanding chemical reaction mechanisms but remains computationally demanding. We introduce MEPIN, a scalable machine-learning method for efficiently predicting MEPs from reactant…

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…

计算物理 · 物理学 2021-06-02 Sami Kaappa , Estefanía Garijo del Río , Karsten Wedel Jacobsen

Optical scatterometry is a method to measure the size and shape of periodic micro- or nanostructures on surfaces. For this purpose the geometry parameters of the structures are obtained by reproducing experimental measurement results…

计算物理 · 物理学 2020-06-24 Philipp-Immanuel Schneider , Martin Hammerschmidt , Lin Zschiedrich , Sven Burger

A method to reconstruct fields, source strengths and physical parameters based on Gaussian process regression is presented for the case where data are known to fulfill a given linear differential equation with localized sources. The…

数据分析、统计与概率 · 物理学 2019-09-10 Christopher G. Albert

Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR uses a square matrix of covariances among training data and…

数值分析 · 数学 2023-09-08 Sergei Manzhos , Manabu Ihara

Gaussian Processes are widely used for regression tasks. A known limitation in the application of Gaussian Processes to regression tasks is that the computation of the solution requires performing a matrix inversion. The solution also…

机器学习 · 计算机科学 2017-08-22 Sourish Das , Sasanka Roy , Rajiv Sambasivan

The time evolution of many physical, chemical, and biological systems can be modelled by stochastic transitions between the minima of the potential energy surface describing the system of interest. We show that in cases where there are two…

统计力学 · 物理学 2024-09-11 S. P. Fitzgerald , A. Bailey Hass , G. Díaz Leines , A. J. Archer