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Related papers: DynHAC: Fully Dynamic Approximate Hierarchical Agg…

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Deep clustering - joint representation learning and latent space clustering - is a well studied problem especially in computer vision and text processing under the deep learning framework. While the representation learning is generally…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

This paper presents two efficient hierarchical clustering (HC) algorithms with respect to Dasgupta's cost function. For any input graph $G$ with a clear cluster-structure, our designed algorithms run in nearly-linear time in the input size…

Data Structures and Algorithms · Computer Science 2023-06-19 Steinar Laenen , Bogdan-Adrian Manghiuc , He Sun

We study two generalizations of classic clustering problems called dynamic ordered $k$-median and dynamic $k$-supplier, where the points that need clustering evolve over time, and we are allowed to move the cluster centers between…

Data Structures and Algorithms · Computer Science 2022-07-26 Shichuan Deng , Jian Li , Yuval Rabani

In this paper, we provide a novel perspective on the underlying structure of real-world data with ground-truth clusters via characterization of an abundantly observed yet often overlooked density-geometry correlation, that manifests itself…

Machine Learning · Computer Science 2025-12-04 Chandra Sekhar Mukherjee , Joonyoung Bae , Jiapeng Zhang

Clustering techniques create hierarchal network structures, called clusters, on an otherwise flat network. In a dynamic environment-in terms of node mobility as well as in terms of steadily changing device parameters-the clusterhead…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-06-11 Matthias R. Brust , Adrian Andronache , Steffen Rothkugel

Data analysis often involves an iterative process, where solutions must be continuously refined in response to new data. Typically, as new data becomes available, an existing solution must be updated to incorporate the latest information.…

Data Structures and Algorithms · Computer Science 2025-12-18 Ameet Gadekar , Aristides Gionis , Thibault Marette

Clustering is an important topic in algorithms, and has a number of applications in machine learning, computer vision, statistics, and several other research disciplines. Traditional objectives of graph clustering are to find clusters with…

Machine Learning · Computer Science 2020-11-11 Steinar Laenen , He Sun

Calculation of near-neighbor interactions among high dimensional, irregularly distributed data points is a fundamental task to many graph-based or kernel-based machine learning algorithms and applications. Such calculations, involving…

Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

Data Structures and Algorithms · Computer Science 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

We consider the classic correlation clustering problem in the hierarchical setting. Given a complete graph $G=(V,E)$ and $\ell$ layers of input information, where the input of each layer consists of a nonnegative weight and a labeling of…

Data Structures and Algorithms · Computer Science 2025-04-10 Hyung-Chan An , Mong-Jen Kao , Changyeol Lee , Mu-Ting Lee

We develop data structures for dynamic closest pair problems with arbitrary distance functions, that do not necessarily come from any geometric structure on the objects. Based on a technique previously used by the author for Euclidean…

Data Structures and Algorithms · Computer Science 2010-01-21 David Eppstein

We propose a new attention mechanism, called Global Hierarchical Attention (GHA), for 3D point cloud analysis. GHA approximates the regular global dot-product attention via a series of coarsening and interpolation operations over multiple…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Dan Jia , Alexander Hermans , Bastian Leibe

We consider the problem of fast time-series data clustering. Building on previous work modeling the correlation-based Hamiltonian of spin variables we present an updated fast non-expensive Agglomerative Likelihood Clustering algorithm…

Computational Finance · Quantitative Finance 2022-03-22 Lionel Yelibi , Tim Gebbie

Maximal clique enumeration is a fundamental graph mining task, but its utility is often limited by computational intractability and highly redundant output. To address these challenges, we introduce \emph{$\rho$-dense aggregators}, a novel…

Data Structures and Algorithms · Computer Science 2025-12-04 Noga Alon , Sabyasachi Basu , Shweta Jain , Haim Kaplan , Jakub Łącki , Blair D. Sullivan

In clustering we normally output one cluster variable for each datapoint. However it is not necessarily the case that there is only one way to partition a given dataset into cluster components. For example, one could cluster objects by…

Machine Learning · Computer Science 2019-12-05 Matthew Willetts , Stephen Roberts , Chris Holmes

Dynamic networks are increasingly being usedd to model real world datasets. A challenging task in their analysis is to detect and characterize clusters. It is useful for analyzing real-world data such as detecting evolving communities in…

Social and Information Networks · Computer Science 2017-02-28 Kun Tu , Bruno Ribeiro , Ananthram Swami , Don Towsley

Consistent hashing is used in distributed systems and networking applications to spread data evenly and efficiently across a cluster of nodes. In this paper, we present MementoHash, a novel consistent hashing algorithm that eliminates known…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-28 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

Given a large graph, the densest-subgraph problem asks to find a subgraph with maximum average degree. When considering the top-$k$ version of this problem, a na\"ive solution is to iteratively find the densest subgraph and remove it in…

Data Structures and Algorithms · Computer Science 2017-08-30 Muhammad Anis Uddin Nasir , Aristides Gionis , Gianmarco De Francisci Morales , Sarunas Girdzijauskas

In many learning systems, such as activity recognition systems, as new data collection methods continue to emerge in various dynamic environmental applications, the attributes of instances accumulate incrementally, with data being stored in…

Statistics Theory · Mathematics 2026-03-24 Jing Zhang , Chenping Hou

We develop a new density-based clustering algorithm named CRAD which is based on a new neighbor searching function with a robust data depth as the dissimilarity measure. Our experiments prove that the new CRAD is highly competitive at…

Computation · Statistics 2019-04-09 Xin Huang , Yulia R. Gel
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