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Hypergraphs are a useful abstraction for modeling multiway relationships in data, and hypergraph clustering is the task of detecting groups of closely related nodes in such data. Graph clustering has been studied extensively, and there are…

数据结构与算法 · 计算机科学 2020-07-02 Nate Veldt , Austin R. Benson , Jon Kleinberg

This paper proposes a simple but effective graph-based agglomerative algorithm, for clustering high-dimensional data. We explore the different roles of two fundamental concepts in graph theory, indegree and outdegree, in the context of…

计算机视觉与模式识别 · 计算机科学 2015-03-20 Wei Zhang , Xiaogang Wang , Deli Zhao , Xiaoou Tang

We introduce Density sketches (DS): a succinct online summary of the data distribution. DS can accurately estimate point wise probability density. Interestingly, DS also provides a capability to sample unseen novel data from the underlying…

数据结构与算法 · 计算机科学 2021-02-25 Aditya Desai , Benjamin Coleman , Anshumali Shrivastava

Sketches have shown high accuracy in multi-way join cardinality estimation, a critical problem in cost-based query optimization. Accurately estimating the cardinality of a join operation -- analogous to its computational cost -- allows the…

数据库 · 计算机科学 2025-06-18 Brian Tsan , Abylay Amanbayev , Asoke Datta , Florin Rusu

Most state-of-the-art graph kernels only take local graph properties into account, i.e., the kernel is computed with regard to properties of the neighborhood of vertices or other small substructures. On the other hand, kernels that do take…

机器学习 · 计算机科学 2017-09-25 Christopher Morris , Kristian Kersting , Petra Mutzel

Efficient layout of large-scale graphs remains a challenging problem: the force-directed and dimensionality reduction-based methods suffer from high overhead for graph distance and gradient computation. In this paper, we present a new graph…

社会与信息网络 · 计算机科学 2020-08-19 Minfeng Zhu , Wei Chen , Yuanzhe Hu , Yuxuan Hou , Liangjun Liu , Kaiyuan Zhang

Graphic sketch representations are effective for representing sketches. Existing methods take the patches cropped from sketches as the graph nodes, and construct the edges based on sketch's drawing order or Euclidean distances on the…

计算机视觉与模式识别 · 计算机科学 2022-12-01 Sicong Zang , Shikui Tu , Lei Xu

How does one generalize differential geometric constructs such as curvature of a manifold to the discrete world of graphs and other combinatorial structures? This problem carries significant importance for analyzing models of discrete…

组合数学 · 数学 2023-06-27 J. F. Du Plessis , Xerxes D. Arsiwalla

Recently there has been increasing interest in developing and deploying deep graph learning algorithms for many tasks, such as fraud detection and recommender systems. Albeit, there is a limited number of publicly available graph-structured…

机器学习 · 计算机科学 2023-10-06 Sajad Darabi , Piotr Bigaj , Dawid Majchrowski , Artur Kasymov , Pawel Morkisz , Alex Fit-Florea

Sketching and streaming algorithms are in the forefront of current research directions for cut problems in graphs. In the streaming model, we show that $(1-\epsilon)$-approximation for Max-Cut must use $n^{1-O(\epsilon)}$ space; moreover,…

数据结构与算法 · 计算机科学 2026-02-23 Dmitry Kogan , Robert Krauthgamer

We present ${\rm poly\log\log n}$-round randomized distributed algorithms to compute vertex splittings, a partition of the vertices of a graph into $k$ parts such that a node of degree $d(u)$ has $\approx d(u)/k$ neighbors in each part. Our…

数据结构与算法 · 计算机科学 2022-08-18 Magnús M. Halldórsson , Yannic Maus , Alexandre Nolin

Higher-order interactions beyond pairwise relationships in large complex networks are often modeled as hypergraphs. Analyzing hypergraph properties such as triad counts is essential, as hypergraphs can reveal intricate group interaction…

分布式、并行与集群计算 · 计算机科学 2026-04-09 S. M. Shovan , Arindam Khanda , Sanjukta Bhowmick , Sajal K. Das

In the last decade, subgraph detection and enumeration have emerged as a central problem in distributed graph algorithms. This is largely due to the theoretical challenges and practical applications of these problems. In this paper, we…

分布式、并行与集群计算 · 计算机科学 2026-02-23 Duncan Adamson , Will Rosenbaum , Paul G. Spirakis

Graph Neural Networks (GNNs) have emerged as powerful tools for supervised machine learning over graph-structured data, while sampling-based node representation learning is widely utilized in unsupervised learning. However, scalability…

机器学习 · 计算机科学 2024-07-23 Vipul Gupta , Xin Chen , Ruoyun Huang , Fanlong Meng , Jianjun Chen , Yujun Yan

In this work, we study the problem of partitioning a set of graphs into different groups such that the graphs in the same group are similar while the graphs in different groups are dissimilar. This problem was rarely studied previously,…

机器学习 · 计算机科学 2023-02-07 Jinyu Cai , Yi Han , Wenzhong Guo , Jicong Fan

Graph partitioning plays a vital role in distributedlarge-scale web graph analytics, such as pagerank and labelpropagation. The quality and scalability of partitioning strategyhave a strong impact on such communication- and…

分布式、并行与集群计算 · 计算机科学 2022-01-04 Deyu Kong , Xike Xie , Zhuoxu Zhang

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

系统与控制 · 计算机科学 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

Neural networks that compute over graph structures are a natural fit for problems in a variety of domains, including natural language (parse trees) and cheminformatics (molecular graphs). However, since the computation graph has a different…

神经与进化计算 · 计算机科学 2017-02-23 Moshe Looks , Marcello Herreshoff , DeLesley Hutchins , Peter Norvig

In the standard CONGEST model for distributed network computing, it is known that "global" tasks such as minimum spanning tree, diameter, and all-pairs shortest paths, consume large bandwidth, for their running-time is…

分布式、并行与集群计算 · 计算机科学 2017-06-14 Pierre Fraigniaud , Pedro Montealegre , Dennis Olivetti , Ivan Rapaport , Ioan Todinca

A hypergraph is a useful combinatorial object to model ternary or higher-order relations among entities. Clustering hypergraphs is a fundamental task in network analysis. In this study, we develop two clustering algorithms based on…

数据结构与算法 · 计算机科学 2021-10-27 Yuuki Takai , Atsushi Miyauchi , Masahiro Ikeda , Yuichi Yoshida