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A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

社会与信息网络 · 计算机科学 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

As it has become common to use many computer cores in routine applications, finding good ways to parallelize popular algorithms has become increasingly important. In this paper, we present a parallelization scheme for Markov chain Monte…

统计方法学 · 统计学 2016-06-01 Guillaume W. Basse , Natesh S. Pillai , Aaron Smith

For distributed graph processing on massive graphs, a graph is partitioned into multiple equally-sized parts which are distributed among machines in a compute cluster. In the last decade, many partitioning algorithms have been developed…

分布式、并行与集群计算 · 计算机科学 2023-04-12 Nikolai Merkel , Ruben Mayer , Tawkir Ahmed Fakir , Hans-Arno Jacobsen

`Double edge swaps' transform one graph into another while preserving the graph's degree sequence, and have thus been used in a number of popular Markov chain Monte Carlo (MCMC) sampling techniques. However, while double edge-swaps can…

组合数学 · 数学 2020-12-29 Joel Nishimura

One of the most influential recent results in network analysis is that many natural networks exhibit a power-law or log-normal degree distribution. This has inspired numerous generative models that match this property. However, more recent…

数据结构与算法 · 计算机科学 2011-09-01 Isabelle Stanton , Ali Pinar

This study introduces an algorithm that generates undirected graphs with three main characteristics of real-world networks: scale-freeness, short distances between nodes (small-world phenomenon), and large clustering coefficients. The main…

社会与信息网络 · 计算机科学 2025-02-27 João Pedro C. Morais , Ruben Interian

Rapid and massive adoption of mobile/ online payment services has brought new challenges to the service providers as well as regulators in safeguarding the proper uses such services/ systems. In this paper, we leverage recent advances in…

社会与信息网络 · 计算机科学 2019-06-14 Da Sun Handason Tam , Wing Cheong Lau , Bin Hu , Qiu Fang Ying , Dah Ming Chiu , Hong Liu

The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weight sum of the cut edges. In this paper, we engineer the fastest known exact algorithm for the problem.…

数据结构与算法 · 计算机科学 2018-08-17 Monika Henzinger , Alexander Noe , Christian Schulz

The crossing number of a graph $G$, $\mathrm{cr}(G)$, is the minimum number of edge crossings arising when drawing a graph on a certain surface. Determining $\mathrm{cr}(G)$ is a problem of great importance in Graph Theory. Its maximum…

统计计算 · 统计学 2023-07-26 Lluís Alemany-Puig , Ramon Ferrer-i-Cancho

Distributed graph signal processing algorithms require the network nodes to communicate by exchanging messages in order to achieve a common objective. These messages have a finite precision in realistic networks, which may necessitate to…

信号处理 · 电气工程与系统科学 2019-09-30 Isabela Cunha Maia Nobre , Pascal Frossard

On an evolving graph that is continuously updated by a high-velocity stream of edges, how can one efficiently maintain if two vertices are connected? This is the connectivity problem, a fundamental and widely studied problem on graphs. We…

数据结构与算法 · 计算机科学 2016-02-18 Natcha Simsiri , Kanat Tangwongsan , Srikanta Tirthapura , Kun-Lung Wu

One of the biggest huddles faced by researchers studying algorithms for massive graphs is the lack of large input graphs that are essential for the development and test of the graph algorithms. This paper proposes two efficient and highly…

分布式、并行与集群计算 · 计算机科学 2010-03-22 Andy Yoo , Keith Henderson

A graph embedding algorithm embeds a graph into a low-dimensional space such that the embedding preserves the inherent properties of the graph. While graph embedding is fundamentally related to graph visualization, prior work did not…

社会与信息网络 · 计算机科学 2020-09-22 Md. Khaledur Rahman , Majedul Haque Sujon , Ariful Azad

Graph kernels are widely used for measuring the similarity between graphs. Many existing graph kernels, which focus on local patterns within graphs rather than their global properties, suffer from significant structure information loss when…

机器学习 · 计算机科学 2019-12-02 Lingfei Wu , Ian En-Hsu Yen , Zhen Zhang , Kun Xu , Liang Zhao , Xi Peng , Yinglong Xia , Charu Aggarwal

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

机器学习 · 计算机科学 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens

Graph embedding provides an efficient solution for graph analysis by converting the graph into a low-dimensional space which preserves the structure information. In contrast to the graph structure data, the i.i.d. node embedding can be…

机器学习 · 计算机科学 2017-05-16 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

数据结构与算法 · 计算机科学 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Graphlet counting is an important problem as it has numerous applications in several fields, including social network analysis, biological network analysis, transaction network analysis, etc. Most of the practical networks are dynamic. A…

数据结构与算法 · 计算机科学 2023-08-29 Hriday G , Pranav Saikiran Sista , Apurba Das

Markov Chain Monte Carlo (MCMC) algorithms are commonly used to sample from graph ensembles. Two graphs are neighbors in the state space if one can be obtained from the other with only a few modifications, e.g., edge rewirings. For many…

社会与信息网络 · 计算机科学 2024-09-11 Giulia Preti , Gianmarco De Francisci Morales , Matteo Riondato

Decision trees are highly famous in machine learning and usually acquire state-of-the-art performance. Despite that, well-known variants like CART, ID3, random forest, and boosted trees miss a probabilistic version that encodes prior…

人工智能 · 计算机科学 2022-07-27 Efthyvoulos Drousiotis , Paul G. Spirakis