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For the model Hamiltonian describing the electron-nuclear dynamics of a quantum dot, we obtained an exact expression for the limiting nuclear polarization as a function of the number of groups of equivalent nuclei. It is shown that the…

Mesoscale and Nanoscale Physics · Physics 2008-01-10 G. G. Kozlov

The most successful and popular machine learning models of atomic-scale properties derive their transferability from a locality ansatz. The properties of a large molecule or a bulk material are written as a sum over contributions that…

Chemical Physics · Physics 2020-01-08 Andrea Grisafi , Michele Ceriotti

We discuss the polarization dynamics during solid effect dynamic nuclear polarization (DNP) in a central spin model that consists of an electron surrounded by many nuclei. To this end we use a recently developed formalism and validate first…

Other Condensed Matter · Physics 2016-03-23 Daniel Wiśniewski , Alexander Karabanov , Igor Lesanovsky , Walter Köckenberger

Neural networks are emerging as a tool for scalable data-driven simulation of high-dimensional dynamical systems, especially in settings where numerical methods are infeasible or computationally expensive. Notably, it has been shown that…

Machine Learning · Computer Science 2024-09-16 Koen Minartz , Yoeri Poels , Simon Koop , Vlado Menkovski

Electric field induced collective reorientation of nematic molecules placed between two flat parallel electrodes is of importance for both fundamental science and practical applications. This reorientation is either homogeneous over the…

Density Functional Theory (DFT) calculations were used to evaluate polarity of group III nitrides, such as aluminum nitride (AlN), gallium nitride (GaN) and indium nitride (InN) providing physically sound quantitative measure of polarity of…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 Pawel Strak , Pawel Kempisty , Konrad Sakowski , Stanislaw Krukowski

When an electron or a hole is added into an orbital of an adsorbed molecule the substrate electrons will rearrange in order to screen the added charge. This results in a reduction of the electron addition/removal energies as compared to the…

Materials Science · Physics 2009-11-13 Kristian S. Thygesen , Angel Rubio

Deploying 3D graph neural networks (GNNs) that are equivariant to 3D rotations (the group SO(3)) on edge devices is challenging due to their high computational cost. This paper addresses the problem by compressing and accelerating an…

Machine Learning · Computer Science 2026-03-04 Haoyu Zhou , Ping Xue , Hao Zhang , Tianfan Fu

Capsule networks were proposed as an alternative approach to Convolutional Neural Networks (CNNs) for learning object-centric representations, which can be leveraged for improved generalization and sample complexity. Unlike CNNs, capsule…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Fabio De Sousa Ribeiro , Kevin Duarte , Miles Everett , Georgios Leontidis , Mubarak Shah

Deep convolutional neural networks (CNNs) have achieved breakthrough performance in many pattern recognition tasks such as image classification. However, the development of high-quality deep models typically relies on a substantial amount…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 Mengchen Liu , Jiaxin Shi , Zhen Li , Chongxuan Li , Jun Zhu , Shixia Liu

The use of neural networks for diagnosis classification is becoming more and more prevalent in the medical imaging community. However, deep learning method outputs remain hard to explain. Another difficulty is to choose among the large…

Image and Video Processing · Electrical Eng. & Systems 2020-02-11 Elina Thibeau Sutre , Olivier Colliot , Didier Dormont , Ninon Burgos

We introduce a tensor-channel equivariant graph neural network for direct prediction of molecular polarizability tensors. Building on the efficient PaiNN architecture, we augment the hidden representation with explicit symmetric rank-2…

Machine Learning · Computer Science 2026-05-19 Jean Philip Filling , Daniel Franzen , Michael Wand

Neural networks that are equivariant to rotations, translations, reflections, and permutations on n-dimensional geometric space have shown promise in physical modeling for tasks such as accurately but inexpensively modeling complex…

Machine Learning · Computer Science 2023-01-25 Yuanqing Wang , John D. Chodera

A double-index atomic partitioning of the molecular first-order density matrix is proposed. Contributions diagonal in the atomic indices correspond to atomic density matrices, whereas off-diagonal contributions carry information about the…

Neural message passing on molecular graphs is one of the most promising methods for predicting formation energy and other properties of molecules and materials. In this work we extend the neural message passing model with an edge update…

Machine Learning · Statistics 2018-06-11 Peter Bjørn Jørgensen , Karsten Wedel Jacobsen , Mikkel N. Schmidt

A truly generalizable approach to rigid segmentation and motion estimation is fundamental to 3D understanding of articulated objects and moving scenes. In view of the closely intertwined relationship between segmentation and motion…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Jia-Xing Zhong , Ta-Ying Cheng , Yuhang He , Kai Lu , Kaichen Zhou , Andrew Markham , Niki Trigoni

Predicting the structure of multi-protein complexes is a grand challenge in biochemistry, with major implications for basic science and drug discovery. Computational structure prediction methods generally leverage pre-defined structural…

Biomolecules · Quantitative Biology 2021-01-26 Stephan Eismann , Raphael J. L. Townshend , Nathaniel Thomas , Milind Jagota , Bowen Jing , Ron O. Dror

The high computational complexity and increasing parameter counts of deep neural networks pose significant challenges for deployment in resource-constrained environments, such as edge devices or real-time systems. To address this, we…

Machine Learning · Computer Science 2025-06-17 Laura Erb , Tommaso Boccato , Alexandru Vasilache , Juergen Becker , Nicola Toschi

The enormous energy demand of artificial intelligence is driving the development of alternative hardware for deep learning. Physical neural networks try to exploit physical systems to perform machine learning more efficiently. In…

We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellular fluid in presence of diffusion and Ohmic conduction.…

Neurons and Cognition · Quantitative Biology 2013-10-08 Peter beim Graben , Serafim Rodrigues