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Atomic fingerprints are commonly used for the characterization of local environments of atoms in machine learning and other contexts. In this work, we study the behavior of two widely used fingerprints, namely the smooth overlap of atomic…

Other Condensed Matter · Physics 2022-02-02 Behnam Parsaeifard , Stefan Goedecker

Machine learning of atomic-scale properties is revolutionizing molecular modelling, making it possible to evaluate inter-atomic potentials with first-principles accuracy, at a fraction of the costs. The accuracy, speed and reliability of…

Computational Physics · Physics 2018-10-16 Giulio Imbalzano , Andrea Anelli , Daniele Giofr é , Sinja Klees , J örg Behler , Michele Ceriotti

Significant progress in many classes of materials could be made with the availability of experimentally-derived large datasets composed of atomic identities and three-dimensional coordinates. Methods for visualizing the local atomic…

Eficient, physically-inspired descriptors of the structure and composition of molecules and materials play a key role in the application of machine-learning techniques to atomistic simulations. The proliferation of approaches, as well as…

Computational Physics · Physics 2020-12-11 Alexander Goscinski , Guillaume Fraux , Giulio Imbalzano , Michele Ceriotti

Molecular fingerprints, i.e. feature vectors describing atomistic neighborhood configurations, is an important abstraction and a key ingredient for data-driven modeling of potential energy surface and interatomic force. In this paper, we…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Yu-Hang Tang , Dongkun Zhang , George Em Karniadakis

We briefly summarize the kernel regression approach, as used recently in materials modelling, to fitting functions, particularly potential energy surfaces, and highlight how the linear algebra framework can be used to both predict and train…

Computational Physics · Physics 2019-02-05 Michele Ceriotti , Michael J. Willatt , Gábor Csányi

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 development of interatomic potentials (IAPs). Here, we…

Recently, the machine learning force field has emerged as a powerful atomic simulation approach for its high accuracy and low computational cost. However, its applications in the multi-component materials are relatively less. In this study,…

Materials Science · Physics 2018-07-06 Wenwen Li , Yasunobu Ando

Evaluating the (dis)similarity of crystalline, disordered and molecular compounds is a critical step in the development of algorithms to navigate automatically the configuration space of complex materials. For instance, a structural…

Materials Science · Physics 2020-02-06 Sandip De , Albert P. Bartók , Gábor Csányi , Michele Ceriotti

Measuring similarities/dissimilarities between atomic structures is important for the exploration of potential energy landscapes. However, the cell vectors together with the coordinates of the atoms, which are generally used to describe…

The simulation of intrinsic contributions to molecular properties holds the potential to allow for chemistry to be directly inferred from changes to electronic structures at the atomic level. In the present study, we demonstrate how such…

Chemical Physics · Physics 2023-08-16 Frederik Ø. Kjeldal , Janus J. Eriksen

We present a permutation-invariant distance between atomic configurations, defined through a functional representation of atomic positions. This distance enables to directly compare different atomic environments with an arbitrary number of…

Materials Science · Physics 2015-09-30 Gregoire Ferre , Jean-Bernard Maillet , Gabriel Stoltz

Molecular fingerprints are significant cheminformatics tools to map molecules into vectorial space according to their characteristics in diverse functional groups, atom sequences, and other topological structures. In this paper, we set out…

Applications · Statistics 2023-01-05 Xue Liu , Qian Cheng , Dan Sun , Xing Li , Wei Wei , Zhiming Zheng

We review some recently published methods to represent atomic neighbourhood environments, and analyse their relative merits in terms of their faithfulness and suitability for fitting potential energy surfaces. The crucial properties that…

Computational Physics · Physics 2015-06-11 Albert P. Bartók , Risi Kondor , Gábor Csányi

Faithfully representing chemical environments is essential for describing materials and molecules with machine learning approaches. Here, we present a systematic classification of these representations and then investigate: (i) the…

Materials Science · Physics 2020-10-28 Berk Onat , Christoph Ortner , James R. Kermode

Machine-learning (ML) has become a key workhorse in molecular simulations. Building an ML model in this context, involves encoding the information of chemical environments using local atomic descriptors. In this work, we focus on the Smooth…

Soft Condensed Matter · Physics 2023-04-21 Edward Danquah Donkor , Alessandro Laio , Ali Hassanali

The applications of machine learning techniques to chemistry and materials science become more numerous by the day. The main challenge is to devise representations of atomic systems that are at the same time complete and concise, so as to…

Chemical Physics · Physics 2025-10-06 Michael J. Willatt , Felix Musil , Michele Ceriotti

We introduce a fingerprint representation of molecules based on a Fourier series of atomic radial distribution functions. This fingerprint is unique (except for chirality), continuous, and differentiable with respect to atomic coordinates…

Chemical Physics · Physics 2015-03-18 O. Anatole von Lilienfeld , Raghunathan Ramakrishnan , Matthias Rupp , Aaron Knoll

Data-driven approaches are particularly useful for computational materials discovery and design as they can be used for rapidly screening over a very large number of materials, thus suggesting lead candidates for further in-depth…

Materials Science · Physics 2015-07-09 Tran Doan Huan , Arun Mannodi-Kanakkithodi , Rampi Ramprasad

Structural optimization has been a crucial component in computational materials research, and structure predictions have relied heavily on this technique in particular. In this study, we introduce a novel method that enhances the efficiency…

Materials Science · Physics 2024-01-26 Shuo Tao , Xuecheng Shao , Li Zhu
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