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We propose a general method for constructing system-dependent basis functions for correlated quantum chemical calculations. Our construction combines features from several traditional approaches: plane waves, localized basis functions, and…

化学物理 · 物理学 2018-02-28 Thomas E. Baker , Kieron Burke , Steven R. White

Embedding molecular symmetries into machine-learning models is key for efficient learning of chemico-physical scalar properties, but little evidence on how to extend the same strategy to tensorial quantities exists. Here we formulate a…

材料科学 · 物理学 2022-04-27 Vu Ha Anh Nguyen , Alessandro Lunghi

Machine-learning potentials (MLPs) for atomistic simulations are a promising alternative to conventional classical potentials. Current approaches rely on descriptors of the local atomic environment with dimensions that increase…

材料科学 · 物理学 2017-12-05 Nongnuch Artrith , Alexander Urban , Gerbrand Ceder

Machine learning interatomic potentials (MLPs) are a promising technique for atomic modeling. While high accuracy and small errors are widely reported for MLPs, an open concern is whether MLPs can accurately reproduce atomistic dynamics and…

材料科学 · 物理学 2023-10-02 Yunsheng Liu , Xingfeng He , Yifei Mo

We introduce property-independent kernels for machine learning modeling of arbitrarily many molecular properties. The kernels encode molecular structures for training sets of varying size, as well as similarity measures sufficiently diffuse…

化学物理 · 物理学 2015-03-18 Raghunathan Ramakrishnan , O. Anatole von Lilienfeld

Rapid determination of molecular structures can greatly accelerate workflows across many chemical disciplines. However, elucidating structure using only one-dimensional (1D) NMR spectra, the most readily accessible data, remains an…

化学物理 · 物理学 2024-08-16 Frank Hu , Michael S. Chen , Grant M. Rotskoff , Matthew W. Kanan , Thomas E. Markland

Traditional atomistic machine learning (ML) models serve as surrogates for quantum mechanical (QM) properties, predicting quantities such as dipole moments and polarizabilities, directly from compositions and geometries of atomic…

Machine Learning (ML) plays an increasingly important role in the discovery and design of new materials. In this paper, we demonstrate the potential of ML for materials research using hard-magnetic phases as an illustrative case. We build…

We introduce a representation of any atom in any chemical environment for the generation of efficient quantum machine learning (QML) models of common electronic ground-state properties. The representation is based on scaled distribution…

化学物理 · 物理学 2018-04-18 Felix A. Faber , Anders S. Christensen , Bing Huang , O. Anatole von Lilienfeld

Machine learning potentials (MLPs) developed from extensive datasets constructed from density functional theory (DFT) calculations have become increasingly appealing for many researchers. This paper presents a framework of polynomial-based…

材料科学 · 物理学 2022-09-29 Atsuto Seko

The intersection of Quantum Chemistry and Quantum Computing has led to significant advancements in understanding the potential of using quantum devices for the efficient calculation of molecular energies. Simultaneously, this intersection…

量子物理 · 物理学 2025-09-03 Davide Materia , Leonardo Ratini , Celestino Angeli , Leonardo Guidoni

Predicting optoelectronic properties of large-scale atomistic systems under realistic conditions is crucial for rational materials design, yet computationally prohibitive with first-principles simulations. Recent neural network models have…

Recently, machine learning has emerged as an alternative, powerful approach for predicting quantum-mechanical properties of molecules and solids. Here, using kernel ridge regression and atomic fingerprints representing local environments of…

材料科学 · 物理学 2018-03-08 Teppei Suzuki , Ryo Tamura , Tsuyoshi Miyazaki

We propose a unique scheme to construct fully optimized atomic basis sets for density-functional calculations. The shapes of the radial functions are optimized by minimizing the {\it spillage} of the wave functions between the atomic…

材料科学 · 物理学 2015-05-19 Mohan Chen , G-C Guo , Lixin He

We consider the prediction of a basic thermodynamic property---hydration free energies---across a large subset of the chemical space of small organic molecules. Our in silico study is based on computer simulations at the atomistic level…

化学物理 · 物理学 2020-07-02 Clemens Rauer , Tristan Bereau

Machine Learning (ML) has the potential to accelerate discovery of new materials and shed light on useful properties of existing materials. A key difficulty when applying ML in Materials Science is that experimental datasets of material…

Accurate and efficient prediction of electronic wavefunctions is central to ab initio molecular dynamics (AIMD) and electronic structure theory. However, conventional ab initio methods require self-consistent optimization of electronic…

化学物理 · 物理学 2025-11-12 Yanxian Tao , Lingyun Wan , Xiongzhi Zeng , Yingdi Jin , Jie Liu , Zhenyu Li , Jinlong Yang

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

数值分析 · 数学 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang

Quantum mechanics based ab-initio molecular dynamics (MD) simulation schemes offer an accurate and direct means to monitor the time-evolution of materials. Nevertheless, the expensive and repetitive energy and force computations required in…

材料科学 · 物理学 2014-10-14 Venkatesh Botu , Rampi Ramprasad

Atomic force microscopy (AFM) with molecule-functionalized tips has emerged as the primary experimental technique for probing the atomic structure of organic molecules on surfaces. Most experiments have been limited to nearly planar…