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Related papers: Hierarchical topological clustering

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We study hierarchical clusterings of metric spaces that change over time. This is a natural geometric primitive for the analysis of dynamic data sets. Specifically, we introduce and study the problem of finding a temporally coherent…

Data Structures and Algorithms · Computer Science 2017-10-23 Tamal K. Dey , Alfred Rossi , Anastasios Sidiropoulos

The explosion in the amount of data available for analysis often necessitates a transition from batch to incremental clustering methods, which process one element at a time and typically store only a small subset of the data. In this paper,…

Machine Learning · Computer Science 2014-06-26 Margareta Ackerman , Sanjoy Dasgupta

In the context of clustering, we assume a generative model where each cluster is the result of sampling points in the neighborhood of an embedded smooth surface; the sample may be contaminated with outliers, which are modeled as points…

Machine Learning · Statistics 2011-11-30 Ery Arias-Castro , Guangliang Chen , Gilad Lerman

Advances in sensing technologies and the growth of the internet have resulted in an explosion in the size of modern datasets, while storage and processing power continue to lag behind. This motivates the need for algorithms that are…

Machine Learning · Computer Science 2012-06-22 Akshay Krishnamurthy , Sivaraman Balakrishnan , Min Xu , Aarti Singh

Big Data processing systems handle huge unstructured and structured data to store, process, and analyze through cluster analysis which helps in identifying unseen patterns to find the relationships between them. Clustering analysis over the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-11 Dipesh Gyawali

This paper introduces hierarchical quasi-clustering methods, a generalization of hierarchical clustering for asymmetric networks where the output structure preserves the asymmetry of the input data. We show that this output structure is…

Machine Learning · Computer Science 2014-04-21 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

To cluster data is to separate samples into distinctive groups that should ideally have some cohesive properties. Today, numerous clustering algorithms exist, and their differences lie essentially in what can be perceived as ``cohesive…

Machine Learning · Statistics 2025-05-08 Louis Ohl , Pierre-Alexandre Mattei , Frédéric Precioso

Hierarchical clustering is a fundamental task often used to discover meaningful structures in data, such as phylogenetic trees, taxonomies of concepts, subtypes of cancer, and cascades of particle decays in particle physics. Typically…

Data Structures and Algorithms · Computer Science 2020-10-23 Craig S. Greenberg , Sebastian Macaluso , Nicholas Monath , Ji-Ah Lee , Patrick Flaherty , Kyle Cranmer , Andrew McGregor , Andrew McCallum

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Efficient extraction of useful knowledge from these data is still a challenge, mainly when the data is distributed, heterogeneous and of different quality depending on its corresponding local infrastructure. To reduce the overhead cost,…

Databases · Computer Science 2017-04-17 Nhien-An Le-Khac , M-Tahar Kechadi

This paper proposes a hierarchical clustering approach for the segmentation of mobile LiDAR point clouds. We perform the hierarchical clustering on unorganized point clouds based on a proximity matrix. The dissimilarity measure in the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Sheng Xu , Ruisheng Wang , Han Zheng

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…

Machine Learning · Computer Science 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

Networks often exhibit structure at disparate scales. We propose a method for identifying community structure at different scales based on multiresolution modularity and consensus clustering. Our contribution consists of two parts. First,…

Social and Information Networks · Computer Science 2018-02-01 Lucas G. S. Jeub , Olaf Sporns , Santo Fortunato

We propose a hierarchical correlation clustering method that extends the well-known correlation clustering to produce hierarchical clusters applicable to both positive and negative pairwise dissimilarities. Then, in the following, we study…

Machine Learning · Computer Science 2025-02-04 Morteza Haghir Chehreghani , Mostafa Haghir Chehreghani

A novel nonparametric clustering algorithm is proposed using the interpoint distances between the members of the data to reveal the inherent clustering structure existing in the given set of data, where we apply the classical nonparametric…

Methodology · Statistics 2024-09-02 Soumita Modak

In the collaborative clustering framework, the hope is that by combining several clustering solutions, each one with its own bias and imperfections, one will get a better overall solution. The goal is that each local computation, quite…

Machine Learning · Computer Science 2021-03-25 Yohan Foucade , Younès Bennani

Many community detection algorithms require the introduction of a measure on the set of nodes. Previously, a lot of efforts have been made to find the top-performing measures. In most cases, experiments were conducted on several datasets or…

Social and Information Networks · Computer Science 2021-11-03 Rinat Aynulin

Hierarchical clustering over graphs is a fundamental task in data mining and machine learning with applications in domains such as phylogenetics, social network analysis, and information retrieval. Specifically, we consider the recently…

Data Structures and Algorithms · Computer Science 2022-06-16 Arpit Agarwal , Sanjeev Khanna , Huan Li , Prathamesh Patil

Clustering and outlier detection are two important tasks in data mining. Outliers frequently interfere with clustering algorithms to determine the similarity between objects, resulting in unreliable clustering results. Currently, only a few…

Machine Learning · Computer Science 2024-12-10 Qi Li , Shuliang Wang

Evaluating the performance of clustering models is a challenging task where the outcome depends on the definition of what constitutes a cluster. Due to this design, current existing metrics rarely handle multiple clustering models with…

Machine Learning · Computer Science 2025-05-08 Louis Ohl , Fredrik Lindsten