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Algebraic Multigrid (AMG) methods are often robust and effective solvers for solving the large and sparse linear systems that arise from discretized PDEs and other problems, relying on heuristic graph algorithms to achieve their…

Numerical Analysis · Mathematics 2023-08-23 Tareq Zaman , Nicolas Nytko , Ali Taghibakhshi , Scott MacLachlan , Luke Olson , Matthew West

Matrix-accelerated stencil computation is a hot research topic, yet its application to three-dimensional (3D) high-order stencils and HPC remains underexplored. With the emergence of matrix units on multicore CPUs, we analyze matrix-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Yinuo Wang , Tianqi Mao , Lin Gan , Wubing Wan , Zeyu Song , Jiayu Fu , Lanke He , Wenqiang Wang , Zekun Yin , Wei Xue , Guangwen Yang

We present a detailed comparison of several recent and new approaches to multigrid solver algorithms suitable for the solution of 5d chiral fermion actions such as Domain Wall fermions in the Shamir formulation, and also for the Partial…

High Energy Physics - Lattice · Physics 2021-03-10 Peter Boyle , Azusa Yamaguchi

We consider the problem of decentralized composite optimization over a symmetric connected graph, in which each node holds its own agent-specific private convex functions, and communications are only allowed between nodes with direct links.…

Optimization and Control · Mathematics 2018-09-06 Bin Wang , Jun Fang , Huiping Duan , Hongbin Li

The computational complexity of naive, sampling-based uncertainty quantification for 3D partial differential equations is extremely high. Multilevel approaches, such as multilevel Monte Carlo (MLMC), can reduce the complexity significantly,…

Computational Engineering, Finance, and Science · Computer Science 2016-07-13 Björn Gmeiner , Daniel Drzisga , Ulrich Ruede , Robert Scheichl , Barbara Wohlmuth

Hybrid transceiver can strike a balance between complexity and performance of multiple-input multiple-output (MIMO) systems. In this paper, we develop a unified framework on hybrid MIMO transceiver design using matrix-monotonic…

Information Theory · Computer Science 2019-06-26 Chengwen Xing , Xin Zhao , Wei Xu , Xiaodai Dong , Geoffrey Ye Li

In the edge computing paradigm, mobile devices offload the computational tasks to an edge server by routing the required data over the wireless network. The full potential of edge computing becomes realized only if a smart device selects…

Machine Learning · Computer Science 2020-08-25 Saeed Ghoorchian , Setareh Maghsudi

We present the deep neural network multigrid solver (DNN-MG) that we develop for the instationary Navier-Stokes equations. DNN-MG improves computational efficiency using a judicious combination of a geometric multigrid solver and a…

Computational Physics · Physics 2022-01-19 Nils Margenberg , Dirk Hartmann , Christian Lessig , Thomas Richter

An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

The past few years have seen considerable progress in algorithmic development for the generation of gauge fields including the effects of dynamical fermions. The Rational Hybrid Monte Carlo (RHMC) algorithm, where Hybrid Monte Carlo is…

High Energy Physics - Lattice · Physics 2008-11-26 M. A. Clark

Multi-user Orthogonal Frequency Division Multiplexing (OFDM) and Multiple Output Multiple Output (MIMO) have been widely adopted to enhance the system throughput and combat the detrimental effects of wireless channels. Recently,…

Information Theory · Computer Science 2015-02-18 Yi Xu , Shiwen Mao , Xin Su

The unit commitment problem (UC) is an optimization problem concerning the operation of electrical generators. Many algorithms have been proposed for the UC and in recent years a more decentralized approach, by solving the UC with…

Optimization and Control · Mathematics 2023-11-23 Rogier Hans Wuijts , Marjan van den Akker , Machteld van den Broek

A deflated and restarted Lanczos algorithm to solve hermitian linear systems, and at the same time compute eigenvalues and eigenvectors for application to multiple right-hand sides, is described. For the first right-hand side, eigenvectors…

High Energy Physics - Lattice · Physics 2010-01-21 Abdou M. Abdel-Rehim , Ronald B. Morgan , Dywayne Nicely , Walter Wilcox

Divergence constraints are present in the governing equations of numerous physical phenomena, and they usually lead to a Poisson equation whose solution represents a bottleneck in many simulation codes. Algebraic Multigrid (AMG) is arguably…

Numerical Analysis · Mathematics 2024-12-06 Àdel Alsalti-Baldellou , Carlo Janna , Xavier Álvarez-Farré , F. Xavier Trias

Wireless Powered Mobile Edge Computing (WP-MEC) integrates mobile edge computing (MEC) with wireless power transfer (WPT) to simultaneously extend the operational lifetime and enhance the computational capability of wireless devices (WDs).…

Networking and Internet Architecture · Computer Science 2026-03-10 Xingqiu He , Chaoqun You , Yuzhi Yang , Zihan Chen , Yuhang Shen , Tony Q. S. Quek , Yue Gao

Analog-to-digital converters (ADCs) are a major contributor to the power consumption of multiple-input multiple-output (MIMO) communication systems with large number of antennas. Use of low resolution ADCs has been proposed as a means to…

Information Theory · Computer Science 2019-01-29 Abbas Khalili , Farhad Shirani , Elza Erkip , Yonina C. Eldar

Stacked Intelligent Metasurfaces (SIM) have emerged as a revolutionary architecture for next-generation wireless communications, offering wave-domain signal processing capabilities with significantly reduced hardware complexity compared to…

Information Theory · Computer Science 2026-01-22 Yuhui Jiao , Qian Zhang , Xuejun Cheng , Yunxiao Li , Yufei Zhao , Ju Liu , Yong Liang Guan

The development of mobile services has impacted a variety of computation-intensive and time-sensitive applications, such as recommendation systems and daily payment methods. However, computing task competition involving limited resources…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-10 Honghao Gao , Xuejie Wang , Xiaojin Ma , Wei Wei , Shahid Mumtaz

Enabling communications in the (sub-)THz band will call for massive multiple-input multiple-output (MIMO) arrays at either the transmit- or receive-side, or at both. To scale down the complexity and power consumption when operating across…

Signal Processing · Electrical Eng. & Systems 2023-12-05 Italo Atzeni , Antti Tölli , Duy H. N. Nguyen , A. Lee Swindlehurst

High resolution analog to digital converters (ADCs) are conventionally used at the receiver terminals to store an accurate digital representation of the received signal, thereby allowing for reliable decoding of transmitted messages.…

Information Theory · Computer Science 2021-12-07 Abbas Khalili , Farhad Shirani , Elza Erkip , Yonina C. Eldar
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