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Two fundamental algorithm-design paradigms are Tree Search and Dynamic Programming. The techniques used therein have been shown to complement one another when solving the complete set partitioning problem, also known as the coalition…

多智能体系统 · 计算机科学 2018-08-24 Talal Rahwan , Tomasz P. Michalak

SCAN (Structural Clustering Algorithm for Networks) is a well-studied, widely used graph clustering algorithm. For large graphs, however, sequential SCAN variants are prohibitively slow, and parallel SCAN variants do not effectively share…

数据库 · 计算机科学 2021-04-01 Tom Tseng , Laxman Dhulipala , Julian Shun

Hierarchical clustering studies a recursive partition of a data set into clusters of successively smaller size, and is a fundamental problem in data analysis. In this work we study the cost function for hierarchical clustering introduced by…

数据结构与算法 · 计算机科学 2021-12-17 Bogdan-Adrian Manghiuc , He Sun

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

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

数据结构与算法 · 计算机科学 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka

Graph analytics for large scale graphs has gained interest in recent years. Many graph algorithms have been designed for vertex-centric distributed graph processing frameworks to operate on large graphs with 100 M vertices and edges, using…

分布式、并行与集群计算 · 计算机科学 2019-05-21 Diptanshu Kakwani , Yogesh Simmhan

Fair graph clustering seeks partitions that respect network structure while maintaining proportional representation across sensitive groups, with applications spanning community detection, team formation, resource allocation, and social…

机器学习 · 计算机科学 2026-05-20 Siamak Ghodsi , Amjad Seyedi , Tai Le Quy , Fariba Karimi , Eirini Ntoutsi

Large deep learning models have shown great potential for delivering exceptional results in various applications. However, the training process can be incredibly challenging due to the models' vast parameter sizes, often consisting of…

分布式、并行与集群计算 · 计算机科学 2023-04-14 Zhengqing Yuan , Huiwen Xue , Chao Zhang , Yongming Liu

The graph partitioning problem has many applications in scientific computing such as computer aided design, data mining, image compression and other applications with sparse-matrix vector multiplications as a kernel operation. In many cases…

数据结构与算法 · 计算机科学 2016-01-08 Foad Lotfifar , Matthew Johnson

In a directed graph $D$ on vertex set $v_1,\dots ,v_n$, a \emph{forward arc} is an arc $v_iv_j$ where $i<j$. A pair $v_i,v_j$ is \emph{forward connected} if there is a directed path from $v_i$ to $v_j$ consisting of forward arcs. In the…

组合数学 · 数学 2024-01-12 Stéphane Bessy , Stéphan Thomassé , Laurent Viennot

Clustering mixed data presents numerous challenges inherent to the very heterogeneous nature of the variables. A clustering algorithm should be able, despite of this heterogeneity, to extract discriminant pieces of information from the…

机器学习 · 计算机科学 2022-05-10 Robin Fuchs , Denys Pommeret , Cinzia Viroli

We introduce an algorithm to generate multivariate series of symbols from a finite alphabet with a given hierarchical structure of similarities. The target hierarchical structure of similarities is arbitrary, for instance the one obtained…

计算物理 · 物理学 2008-10-08 Mi. Tumminello , F. Lillo , R. N. Mantegna

Triangle counting is a fundamental graph analytic operation that is used extensively in network science and graph mining. As the size of the graphs that needs to be analyzed continues to grow, there is a requirement in developing scalable…

分布式、并行与集群计算 · 计算机科学 2019-07-24 Ancy Sarah Tom , George Karypis

Many graph problems can be solved using ordered parallel graph algorithms that achieve significant speedup over their unordered counterparts by reducing redundant work. This paper introduces a new priority-based extension to GraphIt, a…

Typical R-convolution graph kernels invoke the kernel functions that decompose graphs into non-isomorphic substructures and compare them. However, overlooking implicit similarities and topological position information between those…

机器学习 · 计算机科学 2024-05-10 Shuhao Tang , Hao Tian , Xiaofeng Cao , Wei Ye

Binary code analysis is widely used to assess a program's correctness, performance, and provenance. Binary analysis applications often construct control flow graphs, analyze data flow, and use debugging information to understand how machine…

Hierarchical agglomerative clustering (HAC) is a popular algorithm for clustering data, but despite its importance, no dynamic algorithms for HAC with good theoretical guarantees exist. In this paper, we study dynamic HAC on edge-weighted…

数据结构与算法 · 计算机科学 2022-07-13 Tom Tseng , Laxman Dhulipala , Julian Shun

Clustering is a fundamental task in machine learning. One of the most successful and broadly used algorithms is DBSCAN, a density-based clustering algorithm. DBSCAN requires $\epsilon$-nearest neighbor graphs of the input dataset, which are…

分布式、并行与集群计算 · 计算机科学 2024-09-12 Youguang Chen , William Ruys , George Biros

Hierarchical clustering remains a fundamental challenge in data mining, particularly when dealing with large-scale datasets where traditional approaches fail to scale effectively. Recent Chameleon-based algorithms - Chameleon2, M-Chameleon,…

机器学习 · 计算机科学 2025-10-07 Priyanshu Singh , Kapil Ahuja