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We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

数据结构与算法 · 计算机科学 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

Diffusion kernels over graphs have been widely utilized as effective tools in various applications due to their ability to accurately model the flow of information through nodes and edges. However, there is a notable gap in the literature…

数值分析 · 数学 2026-04-15 Giuseppe Alessio D'Inverno , Kylian Ajavon , Simone Brugiapaglia

Convolutional network are the de-facto standard for analysing spatio-temporal data such as images, videos, 3D shapes, etc. Whilst some of this data is naturally dense (for instance, photos), many other data sources are inherently sparse.…

神经与进化计算 · 计算机科学 2017-06-06 Benjamin Graham , Laurens van der Maaten

In distributed optimization, a large number of machines alternate between local computations and communication with a coordinating server. Communication, which can be slow and costly, is the main bottleneck in this setting. To reduce this…

机器学习 · 计算机科学 2026-04-03 Laurent Condat , Ivan Agarský , Peter Richtárik

Supercomputers are equipped with an increasingly large number of cores to use computational power as a way of solving problems that are otherwise intractable. Unfortunately, getting serial algorithms to run in parallel to take advantage of…

分布式、并行与集群计算 · 计算机科学 2013-12-31 Faisal N. Abu-Khzam , Khuzaima Daudjee , Amer E. Mouawad , Naomi Nishimura

As the size of datasets used in statistical learning continues to grow, distributed training of models has attracted increasing attention. These methods partition the data and exploit parallelism to reduce memory and runtime, but suffer…

机器学习 · 计算机科学 2024-07-10 Fred Lu , Ryan R. Curtin , Edward Raff , Francis Ferraro , James Holt

Efficient collective communication is critical for many distributed ML and HPC applications. In this context, it is widely believed that the Ring algorithm for the AllReduce collective communication operation is optimal only for large…

网络与互联网体系结构 · 计算机科学 2025-10-07 Sarah-Michelle Hammer , Stefan Schmid , Rachee Singh , Vamsi Addanki

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

分布式、并行与集群计算 · 计算机科学 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

Distributed optimization algorithms are widely used in machine learning. This paper investigates how a small amount of data sharing can improve their performance. Focusing on general linear models, we analyze the effects of data sharing on…

最优化与控制 · 数学 2025-05-19 Mingxi Zhu , Yinyu Ye

Clustering large datasets is a fundamental problem with a number of applications in machine learning. Data is often collected on different sites and clustering needs to be performed in a distributed manner with low communication. We would…

数据结构与算法 · 计算机科学 2017-02-02 Jiecao Chen , He Sun , David P. Woodruff , Qin Zhang

Information diffusion in social networks facilitates rapid and large-scale propagation of content. However, spontaneous diffusion behavior could also lead to the cascading of sensitive information, which is neglected in prior arts. In this…

社会与信息网络 · 计算机科学 2018-09-11 Yucheng Lu , Xudong Wu , Jingfan Meng , Luoyi Fu , Xinbing Wang

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

社会与信息网络 · 计算机科学 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

In this paper we propose a new approach for Big Data mining and analysis. This new approach works well on distributed datasets and deals with data clustering task of the analysis. The approach consists of two main phases, the first phase…

分布式、并行与集群计算 · 计算机科学 2018-03-05 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

We aim to learn a sparse and connected graph from sparse data, where the number of observations K can be substantially smaller than the signal dimension N for signals x in R^N, and the underlying distribution is unknown. In this severely…

信号处理 · 电气工程与系统科学 2026-04-30 Bahar Oveisgharan , Gene Cheung , Andrew Eckford

Recent neural networks (NNs) with self-attention exhibit competitiveness across different AI domains, but the essential attention mechanism brings massive computation and memory demands. To this end, various sparsity patterns are introduced…

硬件体系结构 · 计算机科学 2024-11-26 Haibin Wu , Wenming Li , Kai Yan , Zhihua Fan , Peiyang Wu , Yuqun Liu , Yanhuan Liu , Ziqing Qiang , Meng Wu , Kunming Liu , Xiaochun Ye , Dongrui Fan

The last decade has witnessed an explosion in the development of models, theory and computational algorithms for "big data" analysis. In particular, distributed computing has served as a natural and dominating paradigm for statistical…

机器学习 · 统计学 2018-11-02 Bayan Saparbayeva , Michael Minyi Zhang , Lizhen Lin

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

数据结构与算法 · 计算机科学 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Degree distribution models are incredibly important tools for analyzing and understanding the structure and formation of social networks, and can help guide the design of efficient graph algorithms. In particular, the Power-law degree…

社会与信息网络 · 计算机科学 2011-08-20 Alessandra Sala , Sabrina Gaito , Gian Paolo Rossi , Haitao Zheng , Ben Y. Zhao

In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edges are far from independent, and to prove several results…

概率论 · 数学 2011-05-05 Bela Bollobas , Svante Janson , Oliver Riordan

Reconstructing complex networks from measurable data is a fundamental problem for understanding and controlling collective dynamics of complex networked systems. However, a significant challenge arises when we attempt to decode structural…

物理与社会 · 物理学 2015-11-20 Xiao Han , Zhesi Shen , Wen-Xu Wang , Zengru Di