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A finite difference scheme for the numerical treatment of the (3+1)D Dirac equation is presented. Its staggered-grid intertwined discretization treats space and time coordinates on equal footing, thereby avoiding the notorious fermion…

计算物理 · 物理学 2015-06-09 René Hammer , Walter Pötz , Anton Arnold

As a key enabling technology for 5G wireless, millimeter wave (mmWave) communication motivates the utilization of large-scale antenna arrays for achieving highly directional beamforming. However, the high cost and power consumption of RF…

信息论 · 计算机科学 2018-07-04 Qingjiang Shi , Mingyi Hong

Interference Alignment is a new solution to over- come the problem of interference in multiuser wireless com- munication systems. Recently, the Compute-and-Forward (CF) transform has been proposed to approximate the capacity of K- user…

信息论 · 计算机科学 2014-10-09 Ehsan Ebrahimi Khaleghi , Jean-Claude Belfiore

Numerical solution of partial differential equations on parallel computers using domain decomposition usually requires synchronization and communication among the processors. These operations often have a significant overhead in terms of…

分布式、并行与集群计算 · 计算机科学 2023-01-11 Soumyadip Ghosh , Jiacai Lu , Vijay Gupta , Gretar Tryggvason

We consider globally optimal precoder design for rate splitting multiple access in Gaussian multiple-input single-output downlink channels with respect to weighted sum rate and energy efficiency maximization. The proposed algorithm solves…

信息论 · 计算机科学 2021-02-08 Bho Matthiesen , Yijie Mao , Petar Popovski , Bruno Clerckx

We present an iterative algorithm for computing an invariant subspace associated with the algebraically smallest eigenvalues of a large sparse or structured Hermitian matrix A. We are interested in the case in which the dimension of the…

数值分析 · 数学 2015-06-22 Eugene Vecharynski , Chao Yang , John E. Pask

Current generations of graphics processing units have turned into highly parallel devices with general computing capabilities. Thus, graphics processing units may be utilized, for example, to solve time dependent partial differential…

计算物理 · 物理学 2019-06-26 Heiko Bauke , Christoph H. Keitel

In this paper, we study FPGA based pipelined and superscalar design of two variants of conjugate gradient methods for solving Laplacian equation on a discrete grid; the first version corresponds to the original conjugate gradient algorithm,…

分布式、并行与集群计算 · 计算机科学 2018-03-13 Sahithi Rampalli , Natasha Sehgal , Ishita Bindlish , Tanya Tyagi , Pawan Kumar

Federated bilevel optimization has attracted increasing attention due to emerging machine learning and communication applications. The biggest challenge lies in computing the gradient of the upper-level objective function (i.e.,…

机器学习 · 计算机科学 2023-06-19 Peiyao Xiao , Kaiyi Ji

We present an iterative scheme, reminiscent of the Multigrid method, to solve large boundary value problems with Probabilistic Domain Decomposition (PDD). In it, increasingly accurate approximations to the solution are used as control…

数值分析 · 数学 2017-01-06 Francisco Bernal , Juan A. Acebrón

Deep learning solvers for partial differential equations typically have limited accuracy. We propose to overcome this problem by using them as preconditioners. More specifically, we apply discretization-invariant neural operators to learn…

It is widely believed that the fermion determinant cannot be treated in global acceptance-rejection steps of gauge link configurations that differ in a large fraction of the links. However, for exact factorizations of the determinant that…

高能物理 - 格点 · 物理学 2015-06-04 Jacob Finkenrath , Francesco Knechtli , Björn Leder

In this work, we consider solving a distributed optimization problem (DOP) in a multi-agent network with multiple agent clusters. In each cluster, the agents manage separable cost functions composed of possibly non-smooth components and aim…

最优化与控制 · 数学 2023-09-15 Jianzheng Wang , Guoqiang Hu

We revisit the problem of large-scale bundle adjustment and propose a technique called Multidirectional Conjugate Gradients that accelerates the solution of the normal equation by up to 61%. The key idea is that we enlarge the search space…

计算机视觉与模式识别 · 计算机科学 2021-10-11 Simon Weber , Nikolaus Demmel , Daniel Cremers

This paper investigates an error covariance matrix splitting technique for multiuser multiple input and multiple output (MIMO) interference downlink channel. Most of the related work has thus far considered the traditional error covariance…

信息论 · 计算机科学 2016-09-06 Md. Abdul Latif Sarker

Efficient frequency-domain Full Waveform Inversion (FWI) of long-offset node data can be designed with a few discrete frequencies hence allowing for compact volume of data to be managed. Moreover, attenuation effects can be…

偏微分方程分析 · 数学 2021-10-29 P. -H. Tournier , P. Jolivet , V. Dolean , H. S. Aghamiry , S. Operto , S. Riffo

We address the problem of downlink beamforming for mitigating the co-channel interference in multi-cell OFDMA networks. Based on the network utility maximization framework, we formulate the problem as a non-convex optimization problem…

信息论 · 计算机科学 2016-11-17 Weiqiang Xu , Xiaodong Wang

In this paper, we propose a model predictive control based operation strategy that allows for power exchange between interconnected microgrids. Particularly, the approach ensures that each microgrid benefits from power exchange with others.…

系统与控制 · 计算机科学 2023-11-14 A. K. Sampathirao , S. Hofmann , J. Raisch , C. A. Hans

The fermion determinant is a highly non-local object and its logarithm is an extensive quantity. For these reasons it is widely believed that the determinant cannot be treated in acceptance steps of gauge link configurations that differ in…

高能物理 - 格点 · 物理学 2011-12-09 Jacob Finkenrath , Francesco Knechtli , Björn Leder

Hybrid precoding is a cost-efficient technique for millimeter wave (mmWave) massive multiple-input multiple-output (MIMO) communications. This paper proposes a deep learning approach by using a distributed neural network for hybrid…

信息论 · 计算机科学 2022-04-19 Kai Wei , Jindan Xu , Wei Xu , Ning Wang , Dong Chen