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Singular value decomposition (SVD) is widely used for dimensionality reduction and noise suppression, and it plays a pivotal role in numerous scientific and engineering applications. As the dimensions of the matrix grow rapidly, the…

分布式、并行与集群计算 · 计算机科学 2025-11-26 Fangqiang Du , Sixuan Chong , Zixuan Huang , Rui Qin , Fengnan Mi , Caibao Hu , Jiangang Chen

Many real-world problems rely on finding eigenvalues and eigenvectors of a matrix. The power iteration algorithm is a simple method for determining the largest eigenvalue and associated eigenvector of a general matrix. This algorithm relies…

数值分析 · 数学 2021-09-23 Congzhou M Sha , Nikolay V Dokholyan

Modern power systems are now in continuous process of massive changes. Increased penetration of distributed generation, usage of energy storage and controllable demand require introduction of a new control paradigm that does not rely on…

A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality…

最优化与控制 · 数学 2022-06-03 Wicak Ananduta , Angelia Nedić , Carlos Ocampo-Martinez

With the deregulation of power industry, large power users can buy electricity directly from power producers. For trades between different regional markets, it is necessary to research on the method to find the cheapest route for power…

最优化与控制 · 数学 2017-11-08 Xue Tai , Hongbin Sun , Qinglai Guo , Zihao Li

In the era of big data, an important weapon in a machine learning researcher's arsenal is a scalable Support Vector Machine (SVM) algorithm. SVMs are extensively used for solving classification problems. Traditional algorithms for learning…

机器学习 · 计算机科学 2018-12-07 Haimonti Dutta , Nitin Nataraj

Projecting a vector onto a simplex is a well-studied problem that arises in a wide range of optimization problems. Numerous algorithms have been proposed for determining the projection; however, the primary focus of the literature has been…

最优化与控制 · 数学 2023-10-11 Yongzheng Dai , Chen Chen

The increasing traffic demand in cellular networks has recently led to the investigation of new strategies to save precious resources like spectrum and energy. Direct device-to-device (D2D) communication becomes a promising solution if the…

网络与互联网体系结构 · 计算机科学 2025-03-03 Federico Librino , Giorgio Quer

The problem of optimal power allocation among the relays in a two-hop decode-and-forward cooperative relay network with independent Rayleigh fading channels is considered. It is assumed that only the relays that decode the source message…

信息论 · 计算机科学 2015-05-27 Arash Khabbazibasmenj , Sergiy A. Vorobyov

In this paper, we consider the distributive queue-aware power and subband allocation design for a delay-optimal OFDMA uplink system with one base station, $K$ users and $N_F$ independent subbands. Each mobile has an uplink queue with…

机器学习 · 计算机科学 2015-05-18 Ying Cui , Vincent K. N. Lau

An efficient Singular Value Decomposition (SVD) algorithm is an important tool for distributed and streaming computation in big data problems. It is observed that update of singular vectors of a rank-1 perturbed matrix is similar to a…

机器学习 · 计算机科学 2017-07-27 Ratnik Gandhi , Amoli Rajgor

In distributed training of deep neural networks, parallel mini-batch SGD is widely used to speed up the training process by using multiple workers. It uses multiple workers to sample local stochastic gradient in parallel, aggregates all…

最优化与控制 · 数学 2018-11-19 Hao Yu , Sen Yang , Shenghuo Zhu

Most distributed machine learning systems nowadays, including TensorFlow and CNTK, are built in a centralized fashion. One bottleneck of centralized algorithms lies on high communication cost on the central node. Motivated by this, we ask,…

最优化与控制 · 数学 2017-09-12 Xiangru Lian , Ce Zhang , Huan Zhang , Cho-Jui Hsieh , Wei Zhang , Ji Liu

The proliferation of science and technology has led to the prevalence of voluminous data sets that are distributed across multiple machines. It is an established fact that conventional statistical methodologies may be unfeasible in the…

统计理论 · 数学 2023-10-24 Lu Yan , Jiang Hu

An unmanned aerial vehicle (UAV)-aided secure communication system is conceived and investigated, where the UAV transmits legitimate information to a ground user in the presence of an eavesdropper (Eve). To guarantee the security, the UAV…

信号处理 · 电气工程与系统科学 2020-08-25 Kaidi Xu , Ming-Min Zhao , Yunlong Cai , Lajos Hanzo

Singular Value Decomposition (SVD) is a powerful tool for multivariate analysis. However, independent computation of the SVD for each sample taken from a bandlimited matrix random process will result in singular value sample paths whose…

统计理论 · 数学 2007-06-13 D. W. Browne , M. W. Browne , M. P. Fitz

In this paper we present two strategies to enable "parallelization across the method" for spectral deferred corrections (SDC). Using standard low-order time-stepping methods in an iterative fashion, SDC can be seen as preconditioned Picard…

数值分析 · 数学 2017-03-24 Robert Speck

In this work, we propose a differentially private algorithm for publishing matrices aggregated from sparse vectors. These matrices include social network adjacency matrices, user-item interaction matrices in recommendation systems, and…

密码学与安全 · 计算机科学 2025-06-26 Quentin Hillebrand , Vorapong Suppakitpaisarn , Tetsuo Shibuya

A one-sided Jacobi hyperbolic singular value decomposition (HSVD) algorithm, using a massively parallel graphics processing unit (GPU), is developed. The algorithm also serves as the final stage of solving a symmetric indefinite eigenvalue…

数值分析 · 计算机科学 2011-11-28 Vedran Novakovic , Sanja Singer

Distributed optimization methods have been extensively applied for the optimization of electric power distribution systems, especially for grid-edge coordination. Existing distributed optimization algorithms applied to power distribution…

系统与控制 · 电气工程与系统科学 2022-12-12 Rabayet Sadnan , Nathan Gray , Anjan Bose , Anamika Dubey