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Kohn-Sham density functional theory is the base of modern computational approaches to electronic structures. Their accuracy vitally relies on the exchange-correlation energy functional, which encapsulates electron-electron interaction…

计算物理 · 物理学 2019-11-04 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

Artificial Intelligence (AI) systems have shown good success at classifying. However, the lack of explainability is a true and significant challenge, especially in high-stakes domains, such as health and finance, where understanding is…

机器学习 · 计算机科学 2026-01-14 A. M. A. S. D. Alagiyawanna , Asoka Karunananda , Thushari Silva , A. Mahasinghe

Abstract Machine learning models, trained on data from ab initio quantum simulations, are yielding molecular dynamics potentials with unprecedented accuracy. One limiting factor is the quantity of available training data, which can be…

计算物理 · 物理学 2020-06-11 Justin S. Smith , Nicholas Lubbers , Aidan P. Thompson , Kipton Barros

With the capability to find the best fit to arbitrarily complicated data patterns, machine-learning (ML) enhanced quantum state tomography (QST) has demonstrated its advantages in extracting complete information about the quantum states.…

量子物理 · 物理学 2022-03-31 Hsien-Yi Hsieh , Jingyu Ning , Yi-Ru Chen , Hsun-Chung Wu , Hua Li Chen , Chien-Ming Wu , Ray-Kuang Lee

Essentials of the scientific discovery process have remained largely unchanged for centuries: systematic human observation of natural phenomena is used to form hypotheses that, when validated through experimentation, are generalized into…

无序系统与神经网络 · 物理学 2019-06-21 Yi Zhang , A. Mesaros , K. Fujita , S. D. Edkins , M. H. Hamidian , K. Ch'ng , H. Eisaki , S. Uchida , J. C. Séamus Davis , E. Khatami , Eun-Ah Kim

As ultracold atom experiments become highly controlled and scalable quantum simulators, they require sophisticated control over high-dimensional parameter spaces and generate increasingly complex measurement data that need to be analyzed…

量子气体 · 物理学 2025-09-11 Henning Schlömer , Annabelle Bohrdt

Semi- and quasi-classical (SC) theories can handle arbitrary interatomic interactions and are thus well-suited to predict quantum dynamics in condensed phases that encode energy and charge transport, spectroscopic responses, and chemical…

化学物理 · 物理学 2026-03-06 Matthew R. Laskowski , Srijan Bhattacharyya , Andrés Montoya-Castillo

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

统计理论 · 数学 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

The electron density of a molecule or material has recently received major attention as a target quantity of machine-learning models. A natural choice to construct a model that yields transferable and linear-scaling predictions is to…

化学物理 · 物理学 2022-06-29 Andrea Grisafi , Alan M. Lewis , Mariana Rossi , Michele Ceriotti

Several methods are available to compute the anharmonicity in semi-rigid molecules. However, such methods are not routinely employed yet because of their large computational cost, especially for large molecules. The potential energy surface…

化学物理 · 物理学 2020-10-26 Julien Lam , Saleh Abdul-Al , Abdul-Rahman Allouche

Hybrid machine learning based on Hamiltonian formulations has recently been successfully demonstrated for simple mechanical systems, both energy conserving and not energy conserving. We introduce a pseudo-Hamiltonian formulation that is a…

机器学习 · 计算机科学 2023-02-15 Sølve Eidnes , Alexander J. Stasik , Camilla Sterud , Eivind Bøhn , Signe Riemer-Sørensen

We present a reformulation of QM/MM as a fully quantum mechanical theory of interacting subsystems, all treated at the level of density functional theory (DFT). For the MM subsystem, which lacks orbitals, we assign an ad hoc electron…

With near-term quantum devices available and the race for fault-tolerant quantum computers in full swing, researchers became interested in the question of what happens if we replace a supervised machine learning model with a quantum…

量子物理 · 物理学 2021-04-20 Maria Schuld

The field of Quantum Machine Learning (QML) has emerged recently in the hopes of finding new machine learning protocols or exponential speedups for classical ones. Apart from problems with vanishing gradients and efficient encoding methods,…

机器学习 · 计算机科学 2023-10-17 Hannah Helgesen , Michael Felsberg , Jan-Åke Larsson

Machine Learning (ML) is accelerating the progress of materials prediction and classification, with particular success in CGNN designs. While classical ML methods remain accessible, advanced deep networks are still challenging to build and…

其他凝聚态物理 · 物理学 2025-02-04 Gavin Nop , Micah Mundy , Durga Paudyal , Jonathan Smith

Supervised machine learning approaches have been increasingly used in accelerating electronic structure prediction as surrogates of first-principle computational methods, such as density functional theory (DFT). While numerous quantum…

化学物理 · 物理学 2024-03-22 Haiyang Yu , Meng Liu , Youzhi Luo , Alex Strasser , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

Hamiltonian systems with multiple timescales arise in molecular dynamics, classical mechanics, and theoretical physics. Long-time numerical integration of such systems requires resolving fast dynamics with very small time steps, which…

数值分析 · 数学 2025-10-30 Rui Fang , Richard Tsai

Density functional theory underlies the most successful and widely used numerical methods for electronic structure prediction of solids. However, it has the fundamental shortcoming that the universal density functional is unknown. In…

无序系统与神经网络 · 物理学 2020-09-23 M. Michael Denner , Mark H. Fischer , Titus Neupert

The interpretation of experiments on reactive semiconductor surfaces requires statistically significant sampling of molecular dynamics, but conventional ab initio methods are limited due to prohibitive computational costs. Machine-learning…

材料科学 · 物理学 2025-09-19 Hendrik Weiske , Rhyan Barrett , Ralf Tonner-Zech , Patrick Melix , Julia Westermayr

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…

化学物理 · 物理学 2015-08-26 Matthias Rupp , Raghunathan Ramakrishnan , O. Anatole von Lilienfeld
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