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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…

Computational Geometry · Computer Science 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

We propose a theoretical framework that generalizes simple and fast algorithms for hierarchical agglomerative clustering to weighted graphs with both attractive and repulsive interactions between the nodes. This framework defines GASP, a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-06 Alberto Bailoni , Constantin Pape , Nathan Hütsch , Steffen Wolf , Thorsten Beier , Anna Kreshuk , Fred A. Hamprecht

We propose an efficient linear-time graph-based divisive cluster analysis approach called Reductive Clustering. The approach tries to reveal the hierarchical structural information through reducing the graph into a more concise one…

Artificial Intelligence · Computer Science 2020-09-28 Ching Tarn , Yinan Zhang , Ye Feng

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

Social and Information Networks · Computer Science 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

Machine Learning · Statistics 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

Time series clustering poses a significant challenge with diverse applications across domains. A prominent drawback of existing solutions lies in their limited interpretability, often confined to presenting users with centroids. In…

Machine Learning · Computer Science 2025-02-19 Paul Boniol , Donato Tiano , Angela Bonifati , Themis Palpanas

After generalizing the concept of clusters to incorporate clusters that are linked to other clusters through some relatively narrow bridges, an approach for detecting patches of separation between these clusters is developed based on an…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Luciano da F. Costa

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…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Graph clustering has many important applications in computing, but due to the increasing sizes of graphs, even traditionally fast clustering methods can be computationally expensive for real-world graphs of interest. Scalability problems…

Social and Information Networks · Computer Science 2018-10-18 Kimon Fountoulakis , David F. Gleich , Michael W. Mahoney

We study clustering algorithms based on neighborhood graphs on a random sample of data points. The question we ask is how such a graph should be constructed in order to obtain optimal clustering results. Which type of neighborhood graph…

Machine Learning · Statistics 2009-12-18 Markus Maier , Matthias Hein , Ulrike von Luxburg

In this paper, we address the problem of recovering arbitrary-shaped data clusters from datasets while facing \emph{high space constraints}, as this is for instance the case in many real-world applications when analysis algorithms are…

Machine Learning · Computer Science 2018-05-29 Anne Morvan , Krzysztof Choromanski , Cédric Gouy-Pailler , Jamal Atif

The quality of graph-structured data is fundamental to the success of modern graph analysis techniques such as Graph Neural Networks (GNNs). However, real-world graph data is often suboptimal, suffering from issues such as noise and…

Machine Learning · Computer Science 2026-05-19 Shen Han , Zhiyao Zhou , Jiawei Chen , Sheng Zhou , Canghong Jin , Hai Lin , Da Zhong Li , Bingde Hu , Can Wang

Despite the fundamental importance of clustering, to this day, much of the relevant research is still based on ambiguous foundations, leading to an unclear understanding of whether or how the various clustering methods are connected with…

Machine Learning · Computer Science 2025-01-29 Yorgos Tsitsikas , Evangelos E. Papalexakis

Most of the existing clustering methods are based on a single granularity of information, such as the distance and density of each data. This most fine-grained based approach is usually inefficient and susceptible to noise. Therefore, we…

Machine Learning · Computer Science 2023-03-30 Jiang Xie , Shuyin Xia , Guoyin Wang , Xinbo Gao

Clustering is a powerful and extensively used data science tool. While clustering is generally thought of as an unsupervised learning technique, there are also supervised variations such as Spath's clusterwise regression that attempt to…

Machine Learning · Computer Science 2023-05-09 Aravinth Chembu , Scott Sanner

Clustering is the propensity of nodes that share a common neighbour to be connected. It is ubiquitous in many networks but poses many modelling challenges. Clustering typically manifests itself by a higher than expected frequency of…

Dynamical Systems · Mathematics 2016-01-07 Martin Ritchie , Luc Berthouze , Istvan Z. Kiss

Local clustering aims at extracting a local structure inside a graph without the necessity of knowing the entire graph structure. As the local structure is usually small in size compared to the entire graph, one can think of it as a…

Machine Learning · Computer Science 2024-08-20 Zhaiming Shen , Ming-Jun Lai , Sheng Li

Graph-based clustering methods like spectral clustering and SpectralNet are very efficient in detecting clusters of non-convex shapes. Unlike the popular $k$-means, graph-based clustering methods do not assume that each cluster has a single…

Machine Learning · Computer Science 2023-02-28 Mashaan Alshammari , John Stavrakakis , Masahiro Takatsuka