Gaussian process regression for materials and molecules

VL Deringer, AP Bartók, N Bernstein… - Chemical …, 2021 - ACS Publications
We provide an introduction to Gaussian process regression (GPR) machine-learning
methods in computational materials science and chemistry. The focus of the present review …

Four generations of high-dimensional neural network potentials

J Behler - Chemical Reviews, 2021 - ACS Publications
Since their introduction about 25 years ago, machine learning (ML) potentials have become
an important tool in the field of atomistic simulations. After the initial decade, in which neural …

Performance and cost assessment of machine learning interatomic potentials

Y Zuo, C Chen, X Li, Z Deng, Y Chen… - The Journal of …, 2020 - ACS Publications
Machine learning of the quantitative relationship between local environment descriptors and
the potential energy surface of a system of atoms has emerged as a new frontier in the …

Machine learning a general-purpose interatomic potential for silicon

AP Bartók, J Kermode, N Bernstein, G Csányi - Physical Review X, 2018 - APS
The success of first-principles electronic-structure calculation for predictive modeling in
chemistry, solid-state physics, and materials science is constrained by the limitations on …

Machine learning unifies the modeling of materials and molecules

AP Bartók, S De, C Poelking, N Bernstein… - Science …, 2017 - science.org
Determining the stability of molecules and condensed phases is the cornerstone of atomistic
modeling, underpinning our understanding of chemical and materials properties and …

Representing potential energy surfaces by high-dimensional neural network potentials

J Behler - Journal of Physics: Condensed Matter, 2014 - iopscience.iop.org
The development of interatomic potentials employing artificial neural networks has seen
tremendous progress in recent years. While until recently the applicability of neural network …

Generalized neural-network representation of high-dimensional potential-energy surfaces

J Behler, M Parrinello - Physical review letters, 2007 - APS
The accurate description of chemical processes often requires the use of computationally
demanding methods like density-functional theory (DFT), making long simulations of large …

Highly optimized embedded-atom-method potentials for fourteen fcc metals

HW Sheng, MJ Kramer, A Cadien, T Fujita… - Physical Review B …, 2011 - APS
Highly optimized embedded-atom-method (EAM) potentials have been developed for 14
face-centered-cubic (fcc) elements across the periodic table. The potentials were developed …

Analytical potential for atomistic simulations of silicon, carbon, and silicon carbide

P Erhart, K Albe - Physical Review B—Condensed Matter and Materials …, 2005 - APS
We present an analytical bond-order potential for silicon, carbon, and silicon carbide that
has been optimized by a systematic fitting scheme. The functional form is adopted from a …

Metadynamics Simulations of the High-Pressure Phases of Silicon Employing<? format?> a High-Dimensional Neural Network Potential

J Behler, R Martoňák, D Donadio, M Parrinello - Physical review letters, 2008 - APS
We study in a systematic way the complex sequence of the high-pressure phases of silicon
obtained upon compression by combining an accurate high-dimensional neural network …