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Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

We propose that a combination of the semiclassical approximation with Monte Carlo simulations can be an efficient and reliable impurity solver for dynamical mean field theory equations and their cluster extensions with large cluster sizes.…

Strongly Correlated Electrons · Physics 2015-06-15 Hunpyo Lee , Yu-Zhong Zhang , Hoonkyung Lee , Yongkyung Kwon , Harald O. Jeschke , Roser Valenti

The deep neural network multigrid solver (DNN-MG) combines a coarse-grid finite element simulation with a deep neural network that corrects the solution on finer grid levels, thereby improving the computational efficiency. In this work, we…

Numerical Analysis · Mathematics 2026-01-26 Robert Jendersie , Nils Margenberg , Christian Lessig , Thomas Richter

Benefiting from color independence, illumination invariance and location discrimination attributed by the depth map, it can provide important supplemental information for extracting salient objects in complex environments. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Xiaoqi Zhao , Youwei Pang , Lihe Zhang , Huchuan Lu

In massive multiple-input multiple-output (MIMO) systems, hybrid analog-digital (AD) beamforming can be used to attain a high directional gain without requiring a dedicated radio frequency (RF) chain for each antenna element, which…

Signal Processing · Electrical Eng. & Systems 2021-09-15 S. Shi , Y. Cai , Q. Hu , B. Champagne , L. Hanzo

Density functional theory (DFT), one of the most widely utilized methods available to computational chemistry, fails to describe systems with statically correlated electrons. To address this shortcoming, in previous work we transformed DFT…

Chemical Physics · Physics 2023-01-02 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

We introduce DMET, a new quantum embedding theory for predicting ground-state properties of infinite systems. Like dynamical mean-field theory (DMFT), DMET maps the the bulk interacting system to a simpler impurity model and is exact in the…

Strongly Correlated Electrons · Physics 2015-03-20 Gerald Knizia , Garnet Kin-Lic Chan

We investigate antiferromagnetic order of repulsively interacting fermionic atoms in an optical lattice by means of Dynamical Mean-Field Theory (DMFT). Special attention is paid to the case of an imbalanced mixture. We take into account the…

Quantum Gases · Physics 2011-02-18 Michiel Snoek , Irakli Titvinidze , Walter Hofstetter

Multiple Deep Neural Networks (DNNs) integrated into single Deep Learning (DL) inference pipelines e.g. Multi-Task Learning (MTL) or Ensemble Learning (EL), etc., albeit very accurate, pose challenges for edge deployment. In these systems,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Jayeeta Mondal , Swarnava Dey , Arijit Mukherjee

We propose a hybrid approach which employs the dynamical mean-field theory (DMFT) self-energy for the correlated, typically rather localized orbitals and a conventional density functional theory (DFT) exchange-correlation potential for the…

Strongly Correlated Electrons · Physics 2021-06-16 Sumanta Bhandary , Karsten Held

The LDA+DMFT approach merges conventional band structure theory in the local density approximation (LDA) with a state-of-the-art many-body technique, the dynamical mean-field theory (DMFT). This new computational scheme has recently become…

Strongly Correlated Electrons · Physics 2009-10-31 K. Held , I. A. Nekrasov , N. Blümer , V. I. Anisimov , D. Vollhardt

We present a quantum impurity solver based on a pseudo-particle framework, which combines diagrammatic resummations for a three-point vertex with diagrammatic Monte Carlo sampling of a four-point vertex. This recently proposed approach [A.…

Strongly Correlated Electrons · Physics 2022-09-07 Aaram J. Kim , Jiajun Li , Martin Eckstein , Philipp Werner

Dynamical mean field theory (DMFT) is a tool that allows to analyze the stochastic dynamics of $N$ interacting degrees of freedom in terms of a self-consistent $1$-body problem. In this work, focusing on models of ecosystems, we present the…

Disordered Systems and Neural Networks · Physics 2020-01-08 Felix Roy , Giulio Biroli , Guy Bunin , Chiara Cammarota

Hybrid light fidelity (LiFi) and wireless fidelity (WiFi) networks are a promising paradigm of heterogeneous network (HetNet), attributed to the complementary physical properties of optical spectra and radio frequency. However, the current…

Machine Learning · Computer Science 2025-09-09 Han Ji , Xiping Wu , Zhihong Zeng , Chen Chen

Several recent works have introduced highly compact representations of single-particle Green's functions in the imaginary time and Matsubara frequency domains, as well as efficient interpolation grids used to recover the representations. In…

Strongly Correlated Electrons · Physics 2023-06-28 Nan Sheng , Alexander Hampel , Sophie Beck , Olivier Parcollet , Nils Wentzell , Jason Kaye , Kun Chen

Neural network-based methods have demonstrated effectiveness in solving high-dimensional Mean-Field Games (MFG) equilibria, yet ensuring mathematically consistent density-coupled evolution remains a major challenge. This paper proposes the…

Machine Learning · Computer Science 2025-03-11 Jinwei Liu , Lu Ren , Wang Yao , Xiao Zhang

We propose a novel framework for representing neural fields on triangle meshes that is multi-resolution across both spatial and frequency domains. Inspired by the Neural Fourier Filter Bank (NFFB), our architecture decomposes the spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Avigail Cohen Rimon , Tal Shnitzer , Mirela Ben Chen

The accuracy of density-functional theory (DFT) is determined by the quality of the approximate functionals, such as exchange-correlation in electronic DFT and the excess functional in the classical DFT formalism of fluids. The exact…

Simulators based on neural networks offer a path to orders-of-magnitude faster electromagnetic wave simulations. Existing models, however, only address narrowly tailored classes of problems and only scale to systems of a few dozen degrees…

Optics · Physics 2024-04-02 Charles Dove , Jatearoon Boondicharern , Laura Waller

With rapid progress in deep learning, neural networks have been widely used in scientific research and engineering applications as surrogate models. Despite the great success of neural networks in fitting complex systems, two major…

Machine Learning · Computer Science 2023-06-13 Yuwen Deng , Wang Kang , Wei W. Xing
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