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A general approach for the calculation of the incoherent intensity scattered by a random medium with rough boundaries has been developed using a Green function formalism. The random medium consists of spherical particles whose physical…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

Numeric modeling of electromagnetics and acoustics frequently entails matrix-vector multiplication with block Toeplitz structure. When the corresponding block Toeplitz matrix is not highly sparse, e.g. when considering the electromagnetic…

Numerical Analysis · Mathematics 2024-06-27 Alexandre Siron , Sean Molesky

Present quantum computers are constrained by limited qubit capacity and restricted physical connectivity, leading to challenges in large-scale quantum computations. Distributing quantum computations across a network of quantum computers is…

Quantum Physics · Physics 2024-05-14 Ranjani G Sundaram , Himanshu Gupta , C. R. Ramakrishnan

We report a linear-scaling random Green's function (rGF) method for large-scale electronic structure calculation. In this method, the rGF is defined on a set of random states to stochastically express the density matrix, and rGF is…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Mingfa Tang , Chang Liu , Aixia Zhang , Qingyun Zhang , Shengjun Yuan , Youqi Ke

After the discovery of GMR by Fert and Gr\"unberg, electronics had a breakthrough with the birth of a new branch called spintronics. This discipline, while still young, exploits the spin of electrons. Most quantum devices exploiting this…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Yann Claveau

Graph Neural Networks (GNNs) offer a compact and computationally efficient way to learn embeddings and classifications on graph data. GNN models are frequently large, making distributed minibatch training necessary. The primary contribution…

Machine Learning · Computer Science 2024-04-22 Alok Tripathy , Katherine Yelick , Aydin Buluc

As it is getting increasingly difficult to achieve gains in the density and power efficiency of microelectronic computing devices because of lithographic techniques reaching fundamental physical limits, new approaches are required to…

Emerging Technologies · Computer Science 2017-07-05 Jean C. Coulombe , Mark C. A. York , Julien Sylvestre

Realistic simulation of quantum materials is a central goal of quantum computation. Although quantum processors have advanced rapidly in scale and fidelity, it has remained unclear whether pre-fault-tolerant devices can perform…

Simulations of quantum dynamics are a key application of near term quantum computing, but are hindered by the twin challenges of noise and small device scale, which limit the executable circuit depths and the number of qubits the algorithm…

Quantum Physics · Physics 2025-02-07 Vladyslav Bohun , Maxence Grandadam , Maciej Koch-Janusz

Edge inference has become more widespread, as its diverse applications range from retail to wearable technology. Clusters of networked resource-constrained edge devices are becoming common, yet no system exists to split a DNN across these…

Networking and Internet Architecture · Computer Science 2022-10-25 Arjun Parthasarathy , Bhaskar Krishnamachari

Geometrical acoustics is well suited for simulating room reverberation in interactive real-time applications. While the image source model (ISM) is exceptionally fast, the restriction to specular reflections impacts its perceptual…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-28 Stephan D. Ewert , Nico Gößling , Oliver Buttler , Steven van de Par , Hongmei Hu

Federated learning (FL) allows multiple parties (distributed devices) to train a machine learning model without sharing raw data. How to effectively and efficiently utilize the resources on devices and the central server is a highly…

Machine Learning · Computer Science 2024-04-18 Guangyu Zhu , Yiqin Deng , Xianhao Chen , Haixia Zhang , Yuguang Fang , Tan F. Wong

Recently a splitting approach has been presented for the simulation of sonic-boom propagation. Splitting methods allow one to divide complicated partial differential equations into simpler parts that are solved by specifically tailored…

Numerical Analysis · Mathematics 2021-03-11 Lukas Einkemmer , Alexander Ostermann , Mirko Residori

We present a time-saving simulator within the framework of the density functional theory to calculate the transport properties of electrons through nanostructures suspended between semi-infinite electrodes. By introducing the Fourier…

Materials Science · Physics 2015-05-20 Yoshiyuki Egami , Kikuji Hirose , Tomoya Ono

The nonequilibrium dynamics of correlated many-particle systems is of interest in connection with pump-probe experiments on molecular systems and solids, as well as theoretical investigations of transport properties and relaxation…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Michael Schüler , Denis Golež , Yuta Murakami , Nikolaj Bittner , Andreas Hermann , Hugo U. R. Strand , Philipp Werner , Martin Eckstein

Mode space approach has been used so far in NEGF to treat phonon scattering for computational efficiency. Here we perform a more rigorous quantum transport simulation in real space to consider interband scatterings as well. We show a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Youngki Yoon , Dmitri E. Nikonov , Sayeef Salahuddin

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Classical simulation of quantum computers is an irreplaceable step in the design of quantum algorithms. Exponential simulation costs demand the use of high-performance computing techniques, and in particular distribution, whereby the…

Quantum Physics · Physics 2023-11-06 Tyson Jones , Bálint Koczor , Simon C. Benjamin

Equivariant Graph Neural Networks (eGNNs) trained on density-functional theory (DFT) data can potentially perform electronic structure prediction at unprecedented scales, enabling investigation of the electronic properties of materials with…

Machine Learning · Computer Science 2025-07-08 Manasa Kaniselvan , Alexander Maeder , Chen Hao Xia , Alexandros Nikolaos Ziogas , Mathieu Luisier

The nonequilibrium Green's functions (NEGF) approach is a versatile theoretical tool, which allows to describe the electronic structure, spectroscopy and dynamics of strongly correlated systems. The applicability of this method is, however,…

Strongly Correlated Electrons · Physics 2018-06-27 Michael Schüler , Martin Eckstein , Philipp Werner
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