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Density functional theory (DFT) calculations determine the relaxed atomic positions and lattice parameters that minimize the formation energy of a structure. We present an equivariant graph neural network (EGNN) model to predict the outcome…

Materials Science · Physics 2026-03-31 Jamie Holber , Siddhartha Srivastava , Krishna Garikipati

Nonuniform Fourier data are routinely collected in applications such as magnetic resonance imaging, synthetic aperture radar, and synthetic imaging in radio astronomy. To acquire a fast reconstruction that does not require an online inverse…

Numerical Analysis · Mathematics 2016-10-05 Anne Gelb , Guohui Song

Positive muon spin rotation and relaxation spectroscopy is a well established experimental technique for studying materials. It provides a local probe that generally complements scattering techniques in the study of magnetic systems and…

The reliability of atomistic simulations depends on the quality of the underlying energy models providing the source of physical information, for instance for the calculation of migration barriers in atomistic Kinetic Monte Carlo…

Efficient molecular dynamics (MD) simulation is vital for understanding atomic-scale processes in materials science and biophysics. Traditional density functional theory (DFT) methods are computationally expensive, which limits the…

Machine Learning · Computer Science 2025-10-03 Hung Le , Sherif Abbas , Minh Hoang Nguyen , Van Dai Do , Huu Hiep Nguyen , Dung Nguyen

Humans and animals recognize objects irrespective of the beholder's point of view, which may drastically change their appearances. Artificial pattern recognizers also strive to achieve this, e.g., through translational invariance in…

Computer Vision and Pattern Recognition · Computer Science 2023-11-16 Lukas Tuggener , Thilo Stadelmann , Jürgen Schmidhuber

The versatility of self-attention mechanism earned transformers great success in almost all data modalities, with limitations on the quadratic complexity and difficulty of training. To apply transformers across different data modalities,…

Machine Learning · Computer Science 2024-08-20 Viet Anh Nguyen , Minh Lenhat , Khoa Nguyen , Duong Duc Hieu , Dao Huu Hung , Truong Son Hy

Deep convolutional neural networks accuracy is heavily impacted by rotations of the input data. In this paper, we propose a convolutional predictor that is invariant to rotations in the input. This architecture is capable of predicting the…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Rosemberg Rodriguez Salas , Eva Dokladalova , Petr Dokládal

We leverage physics-embedded differentiable graph network simulators (GNS) to accelerate particulate and fluid simulations to solve forward and inverse problems. GNS represents the domain as a graph with particles as nodes and learned…

Geophysics · Physics 2023-09-26 Krishna Kumar , Yongjin Choi

We introduce a new method, called CNNAS (convolutional neural networks for atomistic systems), for calculating the total energy of atomic systems which rivals the computational cost of empirical potentials while maintaining the accuracy of…

Materials Science · Physics 2018-03-21 Kevin Ryczko , Kyle Mills , Iryna Luchak , Christa Homenick , Isaac Tamblyn

The inverse problem of Kohn-Sham density functional theory (DFT) is often solved in an effort to benchmark and design approximate exchange-correlation potentials. The forward and inverse problems of DFT rely on the same equations but the…

Chemical Physics · Physics 2017-08-02 Daniel Jensen , Adam Wasserman

We introduce a graph neural network architecture designed to extract novel phenomena in the Standard Model Effective Field Theory (SMEFT) context from LHC collision data. The proposed infrared- and collinear-safe architecture is sensitive…

High Energy Physics - Phenomenology · Physics 2024-05-16 Suman Chatterjee , Sergio Sánchez Cruz , Robert Schöfbeck , Dennis Schwarz

Orbital-free density functional theory (OF-DFT) holds the promise to compute ground state molecular properties at minimal cost. However, it has been held back by our inability to compute the kinetic energy as a functional of the electron…

Chemical Physics · Physics 2023-10-25 Roman Remme , Tobias Kaczun , Maximilian Scheurer , Andreas Dreuw , Fred A. Hamprecht

Radio-Frequency (RF) imaging concerns the digital recreation of the surfaces of scene objects based on the scattered field at distributed receivers. To solve this difficult inverse scattering problems, data-driven methods are often employed…

Machine Learning · Computer Science 2025-03-19 Kyriakos Stylianopoulos , Panagiotis Gavriilidis , Gabriele Gradoni , George C. Alexandropoulos

Density functional theory (DFT) is routinely employed in material science and in quantum chemistry to simulate weakly correlated electronic systems. Recently, deep learning (DL) techniques have been adopted to develop promising functionals…

Strongly Correlated Electrons · Physics 2023-10-02 Emanuele Costa , Rosario Fazio , Sebastiano Pilati

Deep networks are now able to achieve human-level performance on a broad spectrum of recognition tasks. Independently, neuromorphic computing has now demonstrated unprecedented energy-efficiency through a new chip architecture based on…

We introduce an efficient finite-element approach for large-scale real-space pseudopotential density functional theory (DFT) calculations incorporating noncollinear magnetism and spin-orbit coupling. The approach, implemented within the…

Materials Science · Physics 2025-06-11 Nikhil Kodali , Phani Motamarri

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang

Molecular-level understanding of the interactions between the constituents of an atomic structure is essential for designing novel materials in various applications. This need goes beyond the basic knowledge of the number and types of…

This chapter concerns with the recent development of a new DFT methodology for accurate, reliable prediction of many-electron systems. Background, need for such a scheme, major difficulties encountered, as well as their potential remedies…

Chemical Physics · Physics 2019-04-19 Amlan K. Roy