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Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

最优化与控制 · 数学 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

We propose a balanced coarsening scheme for multilevel hypergraph partitioning. In addition, an initial partitioning algorithm is designed to improve the quality of k-way hypergraph partitioning. By assigning vertex weights through the LPT…

机器学习 · 计算机科学 2023-07-14 Zhicheng Guo , Jiaxuan Zhao , Licheng Jiao , Xu Liu

In a series of recent works, we have generalised the consistency results in the stochastic block model literature to the case of uniform and non-uniform hypergraphs. The present paper continues the same line of study, where we focus on…

机器学习 · 计算机科学 2017-05-18 Debarghya Ghoshdastidar , Ambedkar Dukkipati

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

机器学习 · 计算机科学 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

We propose Distributed Neighbor Expansion (Distributed NE), a parallel and distributed graph partitioning method that can scale to trillion-edge graphs while providing high partitioning quality. Distributed NE is based on a new heuristic,…

分布式、并行与集群计算 · 计算机科学 2019-09-24 Masatoshi Hanai , Toyotaro Suzumura , Wen Jun Tan , Elvis Liu , Georgios Theodoropoulos , Wentong Cai

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

数据结构与算法 · 计算机科学 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

We investigate the statistical properties of cut sizes generated by heuristic algorithms which solve approximately the graph bisection problem. On an ensemble of sparse random graphs, we find empirically that the distribution of the cut…

统计力学 · 物理学 2007-05-23 G. R. Schreiber , O. C. Martin

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

分布式、并行与集群计算 · 计算机科学 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

Hypergraph partitioning has a wide range of important applications such as VLSI design or scientific computing. With focus on solution quality, we develop the first multilevel memetic algorithm to tackle the problem. Key components of our…

数据结构与算法 · 计算机科学 2018-02-06 Robin Andre , Sebastian Schlag , Christian Schulz

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

分布式、并行与集群计算 · 计算机科学 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

In this paper, we develop semi-external and external memory algorithms for graph partitioning and clustering problems. Graph partitioning and clustering are key tools for processing and analyzing large complex networks. We address both…

数据结构与算法 · 计算机科学 2014-09-24 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

数据结构与算法 · 计算机科学 2021-08-11 Alexander Noe

Graph partitioning (GP) and vertex connectivity have traditionally been two distinct fields of study. This paper introduces the highly connected graph partitioning (HCGP) problem, which partitions a graph into compact, size balanced, and…

离散数学 · 计算机科学 2024-06-13 Rahul Swamy , Douglas M. King , Sheldon H. Jacobson

This paper presents efficient distributed algorithms for a number of fundamental problems in the area of graph sparsification: We provide the first deterministic distributed algorithm that computes an ultra-sparse spanner in…

数据结构与算法 · 计算机科学 2022-09-26 Marcel Bezdrighin , Michael Elkin , Mohsen Ghaffari , Christoph Grunau , Bernhard Haeupler , Saeed Ilchi , Václav Rozhoň

We present TeraPart, a memory-efficient multilevel graph partitioning method that is designed to scale to extremely large graphs. In balanced graph partitioning, the goal is to divide the vertices into $k$ blocks with balanced size while…

数据结构与算法 · 计算机科学 2024-10-28 Daniel Salwasser , Daniel Seemaier , Lars Gottesbüren , Peter Sanders

Hypergraph partitioning is an NP-hard problem that occurs in many computer science applications where it is necessary to reduce large problems into a number of smaller, computationally tractable sub-problems. Current techniques use a…

神经与进化计算 · 计算机科学 2022-12-06 Richard J. Preen , Jim Smith

A common approach to scaling transactional databases in practice is horizontal partitioning, which increases system scalability, high availability and self-manageability. Usu- ally it is very challenging to choose or design an optimal…

数据库 · 计算机科学 2013-09-09 Yu cao , Xiaoyan Guo , Stephen Todd

Finding a maximum cut is a fundamental task in many computational settings. Surprisingly, it has been insufficiently studied in the classic distributed settings, where vertices communicate by synchronously sending messages to their…

数据结构与算法 · 计算机科学 2017-07-27 Keren Censor-Hillel , Rina Levy , Hadas Shachnai

Finding the reduced-dimensional structure is critical to understanding complex networks. Existing approaches such as spectral clustering are applicable only when the full network is explicitly observed. In this paper, we focus on the online…

机器学习 · 计算机科学 2017-12-13 Lin F. Yang , Vladimir Braverman , Tuo Zhao , Mengdi Wang

In this paper we propose a new problem of finding the maximal bi-connected partitioning of a graph with a size constraint (MBCPG-SC). With the goal of finding approximate solutions for the MBCPG-SC, a heuristic method is developed based on…

离散数学 · 计算机科学 2016-04-19 Raka Jovanovic , Tatsushi Nishi , Stefan Voss