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We give a simple distributed algorithm for computing adjacency matrix eigenvectors for the communication graph in an asynchronous gossip model. We show how to use this algorithm to give state-of-the-art asynchronous community detection…

分布式、并行与集群计算 · 计算机科学 2018-05-01 Frederik Mallmann-Trenn , Cameron Musco , Christopher Musco

Eigensystem Realization Algorithm (ERA) is a data-driven approach for subspace system identification and is widely used in many areas of engineering. However, the computational cost of the ERA is dominated by a step that involves the…

数值分析 · 数学 2020-11-03 Rachel Minster , Arvind K. Saibaba , Jishnudeep Kar , Aranya Chakrabortty

We consider a device-to-device (D2D) underlaid cellular network, where each cellular channel can be shared by several D2D pairs and only one channel can be allocated to each D2D pair. We try to maximize the sum rate of D2D pairs while…

信息论 · 计算机科学 2018-11-02 Yiling Yuan , Tao Yang , Yuedong Xu , Hui Feng , Bo Hu

We extend the randomized singular value decomposition (SVD) algorithm \citep{Halko2011finding} to estimate the SVD of a shifted data matrix without explicitly constructing the matrix in the memory. With no loss in the accuracy of the…

机器学习 · 统计学 2019-12-02 Ali Basirat

This article describes algorithms for the hybrid parallelization and SIMD vectorization of molecular dynamics simulations with short-range forces. The parallelization method combines domain decomposition with a thread-based parallelization…

材料科学 · 物理学 2017-09-13 Chris M. Mangiardi , Ralf Meyer

Optimal power flow (OPF) problems are non-convex and large-scale optimization problems with important applications in power networks. This paper proposes the scheduled-asynchronous algorithm to solve a distributed semidefinite programming…

最优化与控制 · 数学 2017-10-10 Chin-Yao Chang , Jorge Cortes , Sonia Martinez

We address the issue of speeding up the training of convolutional neural networks by studying a distributed method adapted to stochastic gradient descent. Our parallel optimization setup uses several threads, each applying individual…

机器学习 · 计算机科学 2018-11-13 Michael Blot , David Picard , Matthieu Cord

This paper presents a distributed resource allocation algorithm to jointly optimize the power allocation, channel allocation and relay selection for decode-and-forward (DF) relay networks with a large number of sources, relays, and…

信息论 · 计算机科学 2015-03-19 Yin Sun , Zhoujia Mao , Xiaofeng Zhong , Yuanzhang Xiao , Shidong Zhou , Ness B. Shroff

In this paper, a parallel structured divide-and-conquer (PSDC) eigensolver is proposed for symmetric tridiagonal matrices based on ScaLAPACK and a parallel structured matrix multiplication algorithm, called PSMMA. Computing the eigenvectors…

数学软件 · 计算机科学 2020-12-24 Xia Liao , Shengguo Li , Yutong Lu , Jose E. Roman

This paper proposes a fully distributed termination method for distributed optimization algorithms solved by multiple agents. The proposed method guarantees terminating a distributed optimization algorithm after satisfying the global…

最优化与控制 · 数学 2024-01-31 Mohannad Alkhraijah , Daniel K. Molzahn

The Tucker decomposition generalizes the notion of Singular Value Decomposition (SVD) to tensors, the higher dimensional analogues of matrices. We study the problem of constructing the Tucker decomposition of sparse tensors on distributed…

分布式、并行与集群计算 · 计算机科学 2020-01-22 Venkatesan T. Chakaravarthy , Jee W. Choi , Douglas J. Joseph , Prakash Murali , Shivmaran S. Pandian , Yogish Sabharwal , Dheeraj Sreedhar

The problem of computing functions of values at the nodes in a network in a totally distributed manner, where nodes do not have unique identities and make decisions based only on local information, has applications in sensor, peer-to-peer,…

网络与互联网体系结构 · 计算机科学 2007-05-23 Damon Mosk-Aoyama , Devavrat Shah

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

In this paper, we consider multiple channels and wireless nodes with multiple transceivers. Each node assigns one transmitter at each available channel. For each assigned transmitter the node decides the power level and data rate of…

动力系统 · 数学 2011-10-31 Themistoklis Charalambous

In this paper we consider distributed optimization problems in which the cost function is separable (i.e., a sum of possibly non-smooth functions all sharing a common variable) and can be split into a strongly convex term and a convex one.…

最优化与控制 · 数学 2016-09-20 Ivano Notarnicola , Giuseppe Notarstefano

The incremental singular value decomposition (SVD) updates a truncated SVD as new columns arrive, replacing a single large SVD with a sequence of small ones. In floating-point arithmetic, each update multiplies the running singular basis by…

数值分析 · 数学 2026-05-05 Yangwen Zhang

Sorting has been one of the most challenging studied problems in different scientific researches. Although many techniques and algorithms have been proposed on the theory of having efficient parallel sorting implementation, however…

分布式、并行与集群计算 · 计算机科学 2017-01-17 Zahra Khatami , Sungpack Hong , Jinsoo Lee , Siegfried Depner , Hassan Chafi , J. Ramanujam , Hartmut Kaiser

The paper presents a strategy to construct an incremental Singular Value Decomposition (SVD) for time-evolving, spatially 3D discrete data sets. A low memory access procedure for reducing and deploying the snapshot data is presented.…

数学软件 · 计算机科学 2023-02-21 Niklas Kühl , Hendrik Fischer , Michael Hinze , Thomas Rung

Modern data analysis increasingly requires identifying shared latent structure across multiple high-dimensional datasets. A commonly used model assumes that the data matrices are noisy observations of low-rank matrices with a shared…

机器学习 · 统计学 2025-07-31 Tavor Z. Baharav , Phillip B. Nicol , Rafael A. Irizarry , Rong Ma

The singular value decomposition (SVD) is a powerful tool in modern numerical linear algebra, which underpins computational methods such as principal component analysis (PCA), low-rank approximations, and randomized algorithms. Many…

数学软件 · 计算机科学 2026-04-10 Ahmad Abdelfattah , Massimiliano Fasi