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We introduce machine learning models of quantum mechanical observables of atoms in molecules. Instant out-of-sample predictions for proton and carbon nuclear chemical shifts, atomic core level excitations, and forces on atoms reach…

Chemical Physics · Physics 2015-08-26 Matthias Rupp , Raghunathan Ramakrishnan , O. Anatole von Lilienfeld

Within the framework of linear-scaling Kohn-Sham density functional theory, a robust method for maintaining compact localized orbitals close to the ground state is coupled with nuclear dynamics. This allows to obviate the commonly employed…

Computational Physics · Physics 2018-08-01 Hayden Scheiber , Yifei Shi , Rustam Z. Khaliullin

Simplified representations of macromolecules help in rationalising and understanding the outcome of atomistic simulations, and serve to the construction of effective, coarse-grained models. The number and distribution of coarse-grained…

Soft Condensed Matter · Physics 2021-10-27 Roberto Menichetti , Marco Giulini , Raffaello Potestio

Molecular representation learning is pivotal for various molecular property prediction tasks related to drug discovery. Robust and accurate benchmarks are essential for refining and validating current methods. Existing molecular property…

Chemical Physics · Physics 2024-06-27 Shikun Feng , Jiaxin Zheng , Yinjun Jia , Yanwen Huang , Fengfeng Zhou , Wei-Ying Ma , Yanyan Lan

Spherically-symmetric atom-centered descriptors of atomic environments have been widely used for constructing potential or free energy surfaces of atomistic and colloidal systems and to characterize local structures using machine learning…

Soft Condensed Matter · Physics 2022-07-27 Gerardo Campos-Villalobos , Giuliana Giunta , Susana Marín-Aguilar , Marjolein Dijkstra

Machine Learning (ML) techniques are revolutionizing the way to perform efficient materials modeling. Nevertheless, not all the ML approaches allow for the understanding of microscopic mechanisms at play in different phenomena. To address…

Materials Science · Physics 2022-06-22 Udaykumar Gajera , Loriano Storchi , Danila Amoroso , Francesco Delodovici , Silvia Picozzi

The use of machine learning (ML) algorithms in molecular simulations has become commonplace in recent years. There now exists, for instance, a multitude of ML force field algorithms that have enabled simulations approaching ab initio level…

Chemical Physics · Physics 2025-04-17 Jakub K. Sowa , Peter J. Rossky

Atomistic machine learning (ML) is a powerful tool for accurate and efficient investigation of material behavior at the atomic scale. While such models have been constructed within Cartesian space to harness geometric information and…

Materials Science · Physics 2026-04-29 Qun Chen , A. S. L. Subrahmanyam Pattamatta , Boyu Wang , David J. Srolovitz , Mingjian Wen

Computational study of molecules and materials from first principles is a cornerstone of physics, chemistry, and materials science, but limited by the cost of accurate and precise simulations. In settings involving many simulations, machine…

Computational Physics · Physics 2022-03-17 Marcel F. Langer , Alex Goeßmann , Matthias Rupp

Molecular representation is a critical element in our understanding of the physical world and the foundation for modern molecular machine learning. Previous molecular machine learning models have employed strings, fingerprints, global…

Machine Learning · Computer Science 2025-05-28 Daniil A. Boiko , Thiago Reschützegger , Benjamin Sanchez-Lengeling , Samuel M. Blau , Gabe Gomes

Developing robust representations of chemical structures that enable models to learn topological inductive biases is challenging. In this manuscript, we present a representation of atomistic systems. We begin by proving that our…

Machine Learning · Computer Science 2024-09-27 Rahul Khorana , Marcus Noack , Jin Qian

Machine learning (ML) models for molecules and materials commonly rely on a decomposition of the global target quantity into local, atom-centered contributions. This approach is convenient from a computational perspective, enabling…

The feature vector mapping used to represent chemical systems is a key factor governing the superior data-efficiency of kernel based quantum machine learning (QML) models applicable throughout chemical compound space. Unfortunately, the…

Chemical Physics · Physics 2023-08-02 Danish Khan , Stefan Heinen , O. Anatole von Lilienfeld

Major advancements in building general-purpose and customized hardware have been one of the key enablers of versatility and pervasiveness of machine learning models such as deep neural networks. To sustain this ubiquitous deployment of…

Machine Learning · Computer Science 2018-06-05 Mahdi Nazemi , Massoud Pedram

We address the degree to which machine learning can be used to accurately and transferably predict post-Hartree-Fock correlation energies. Refined strategies for feature design and selection are presented, and the molecular-orbital-based…

Chemical Physics · Physics 2019-04-17 Lixue Cheng , Matthew Welborn , Anders S. Christensen , Thomas F. Miller

Statistical learning algorithms are finding more and more applications in science and technology. Atomic-scale modeling is no exception, with machine learning becoming commonplace as a tool to predict energy, forces and properties of…

Chemical Physics · Physics 2020-12-09 Félix Musil , Michele Ceriotti

Electronic nearsightedness is one of the fundamental principles governing the behavior of condensed matter and supporting its description in terms of local entities such as chemical bonds. Locality also underlies the tremendous success of…

Computational Physics · Physics 2020-09-01 Andrea Grisafi , Jigyasa Nigam , Michele Ceriotti

The representation of geometry in real-time 3D perception systems continues to be a critical research issue. Dense maps capture complete surface shape and can be augmented with semantic labels, but their high dimensionality makes them…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Michael Bloesch , Jan Czarnowski , Ronald Clark , Stefan Leutenegger , Andrew J. Davison

We show that generalized spherical harmonics are well suited for representing the space and orientation molecular density in the resolution of the molecular density functional theory. We consider the common system made of a rigid solute of…

Chemical Physics · Physics 2017-10-11 Lu Ding , Maximilien Levesque , Daniel Borgis , Luc Belloni

Experimental multi-parameter optimization can enhance the interfacing of cold atoms with waveguides and cavities. Recent implementations of machine learning (ML) algorithms demonstrate the optimization of complex cold atom ex perimental…

Atomic Physics · Physics 2025-07-16 Paul Anderson , Sreesh Venuturumilli , Michal Bajcsy