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We present a novel hierarchical graph clustering algorithm inspired by modularity-based clustering techniques. The algorithm is agglomerative and based on a simple distance between clusters induced by the probability of sampling node pairs.…

社会与信息网络 · 计算机科学 2018-06-25 Thomas Bonald , Bertrand Charpentier , Alexis Galland , Alexandre Hollocou

This paper presents an efficient method to perform Structured Matrix Approximation by Separation and Hierarchy (SMASH), when the original dense matrix is associated with a kernel function. Given points in a domain, a tree structure is first…

数值分析 · 数学 2017-05-17 Difeng Cai , Edmond Chow , Yousef Saad , Yuanzhe Xi

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

机器学习 · 计算机科学 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

Graph clustering and community detection are central problems in modern data mining. The increasing need for analyzing billion-scale data calls for faster and more scalable algorithms for these problems. There are certain trade-offs between…

社会与信息网络 · 计算机科学 2021-08-05 Jessica Shi , Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni

Hierarchical clustering based on pairwise similarities is a common tool used in a broad range of scientific applications. However, in many problems it may be expensive to obtain or compute similarities between the items to be clustered.…

信息论 · 计算机科学 2015-03-19 Brian Eriksson , Gautam Dasarathy , Aarti Singh , Robert Nowak

Explainable clustering by axis-aligned decision trees was introduced by Moshkovitz et al. (2020) and has gained considerable interest. Prior work has focused on minimizing the price of explainability for specific clustering objectives,…

机器学习 · 计算机科学 2025-11-04 Tal Argov , Tal Wagner

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

计算几何 · 计算机科学 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

The hierarchical structure inherent in many real-world datasets makes the modeling of such hierarchies a crucial objective in both unsupervised and supervised machine learning. While recent advancements have introduced deep architectures…

机器学习 · 计算机科学 2025-12-19 Emanuele Palumbo , Moritz Vandenhirtz , Alain Ryser , Imant Daunhawer , Julia E. Vogt

The undirected technique for evaluating belief networks [Jensen, et.al., 1990, Lauritzen and Spiegelhalter, 1988] requires clustering the nodes in the network into a junction tree. In the traditional view, the junction tree is constructed…

人工智能 · 计算机科学 2013-02-21 Denise L. Draper

Hierarchical Clustering has been studied and used extensively as a method for analysis of data. More recently, Dasgupta [2016] defined a precise objective function. Given a set of $n$ data points with a weight function $w_{i,j}$ for each…

数据结构与算法 · 计算机科学 2021-11-15 Mirmahdi Rahgoshay , Mohammad R. Salavatipour

Hierarchical clustering has been a popular method in various data analysis applications. It partitions a data set into a hierarchical collection of clusters, and can provide a global view of (cluster) structure behind data across different…

数据结构与算法 · 计算机科学 2018-12-19 Dingkang Wang , Yusu Wang

In this paper, we introduce a local search algorithm for hierarchical clustering. For the local step, we consider a tree re-arrangement operation, known as the {\em interchange}, which involves swapping two closely positioned sub-trees…

数据结构与算法 · 计算机科学 2024-05-28 Hossein Jowhari

The problem of hierarchical clustering items from pairwise similarities is found across various scientific disciplines, from biology to networking. Often, applications of clustering techniques are limited by the cost of obtaining…

机器学习 · 统计学 2012-07-20 Brian Eriksson

Clustering is an important data mining technique that groups similar data records, recently categorical transaction clustering is received more attention. In this research, we study the problem of categorical data clustering for…

数据库 · 计算机科学 2017-05-03 Mahmoud Mahdi , Samir Abdelrahman , Reem Bahgat , Ismail Ismail

Kriging or Gaussian Process Regression is applied in many fields as a non-linear regression model as well as a surrogate model in the field of evolutionary computation. However, the computational and space complexity of Kriging, that is…

机器学习 · 计算机科学 2017-02-07 Bas van Stein , Hao Wang , Wojtek Kowalczyk , Michael Emmerich , Thomas Bäck

Recently, Hierarchical Clustering (HC) has been considered through the lens of optimization. In particular, two maximization objectives have been defined. Moseley and Wang defined the \emph{Revenue} objective to handle similarity…

数据结构与算法 · 计算机科学 2021-01-27 Danny Vainstein , Vaggos Chatziafratis , Gui Citovsky , Anand Rajagopalan , Mohammad Mahdian , Yossi Azar

Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

机器学习 · 计算机科学 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

We survey agglomerative hierarchical clustering algorithms and discuss efficient implementations that are available in R and other software environments. We look at hierarchical self-organizing maps, and mixture models. We review grid-based…

信息检索 · 计算机科学 2011-05-03 Fionn Murtagh , Pedro Contreras

Identifying critical nodes and links in graphs is a crucial task. These nodes/links typically represent critical elements/communication links that play a key role in a system's performance. However, a majority of the methods available in…

社会与信息网络 · 计算机科学 2022-05-31 Sai Munikoti , Laya Das , Balasubramaniam Natarajan

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

机器学习 · 计算机科学 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic