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Hierarchical clustering is an important technique to organize big data for exploratory data analysis. However, existing one-size-fits-all hierarchical clustering methods often fail to meet the diverse needs of different users. To address…

机器学习 · 计算机科学 2020-09-22 Weikai Yang , Xiting Wang , Jie Lu , Wenwen Dou , Shixia Liu

Grouping elements into families to analyse them separately is a standard analysis procedure in many areas of sciences. We propose herein a new algorithm based on the simple idea that members from a family look like each other, and don't…

Correlation clustering seeks a partition of the vertex set of a given graph/network into groups of closely related, or just close enough, vertices so that elements of different groups are not close to each other. The problem has been…

社会与信息网络 · 计算机科学 2024-12-05 Faisal N. Abu-Khzam , Lucas Isenmann , Sergio Thoumi

We present AstroLink, an efficient and versatile clustering algorithm designed to hierarchically classify astrophysically-relevant structures from both synthetic and observational data sets. We build upon CluSTAR-ND, a hierarchical…

星系天体物理 · 物理学 2024-04-18 William H. Oliver , Pascal J. Elahi , Geraint F. Lewis , Tobias Buck

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

信息检索 · 计算机科学 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

There are only a few known main belt (MB) asteroid families with ages greater than 2 Gyr (Bro\v{z} et al. 2013, Spoto et al. 2015). Estimates based on the family producing collision rate suggest that the lack of >2 Gyr-old families may be…

地球与行星天体物理 · 物理学 2016-11-15 Bryce T. Bolin , Marco Delbo , Alessandro Morbidelli , Kevin J. Walsh

Previous works have identified families halos by an analysis in proper elements domains, or by using Sloan Digital Sky Survey-Moving Object Catalog data, fourth release (SDSS-MOC4) multi-band photometry to infer the asteroid taxonomy, or by…

地球与行星天体物理 · 物理学 2015-06-16 V. Carruba , R. C. Domingos , D. Nesvorný , F. Roig , M. E. Huaman , D. Souami

We propose a new method for hierarchical clustering based on the optimisation of a cost function over trees of limited depth, and we derive a message--passing method that allows to solve it efficiently. The method and algorithm can be…

无序系统与神经网络 · 物理学 2015-05-14 M. Bailly-Bechet , S. Bradde , A. Braunstein , A. Flaxman , L. Foini , R. Zecchina

We define a hierarchical clustering method: $\alpha$-unchaining single linkage or $SL(\alpha)$. The input of this algorithm is a finite metric space and a certain parameter $\alpha$. This method is sensitive to the density of the…

机器学习 · 计算机科学 2014-02-07 Álvaro Martínez-Pérez

The aim of this paper is to study the efficiency of different approaches to interloper treatment in dynamical modelling of galaxy clusters. Using cosmological N-body simulation of standard LCDM model, we select 10 massive dark matter haloes…

天体物理学 · 物理学 2008-11-26 Radoslaw Wojtak , Ewa L. Lokas , Gary A. Mamon , Stefan Gottloeber , Francisco Prada , Mariano Moles

Hierarchical clustering is a critical task in numerous domains. Many approaches are based on heuristics and the properties of the resulting clusterings are studied post hoc. However, in several applications, there is a natural cost function…

Clusters of galaxies are the most massive objects in the Universe and mapping their location is an important astronomical problem. This paper describes an algorithm (based on statistical signal processing methods), a software architecture…

天体物理学 · 物理学 2015-05-26 Jeremy Kepner , Rita Kim

Summaries of craters on terrestrial bodies, such as the number and size distribution, are essential for understanding the history of the Solar System. Identifying craters, however, has not been automated and thus relies on expert…

统计方法学 · 统计学 2026-05-21 Nathan Weed , Emily Castleton , Dave Osthus , Brian Weaver , Richard L. Warr

This paper introduces a hierarchical clustering algorithm, the Clustroid Hierarchical Nearest Neighbor ($\mathrm{CHN}^2$), designed for datasets with a countably infinite number of points. The method builds clusters across successive levels…

概率论 · 数学 2025-11-17 Sayeh Khaniha , François Baccelli

Co-clustering is a specific type of clustering that addresses the problem of finding groups of objects without necessarily considering all attributes. This technique has shown to have more consistent results in high-dimensional sparse data…

机器学习 · 计算机科学 2021-10-28 Yuri Santos , Jônata Tyska , Vania Bogorny

Hierarchical clustering remains a fundamental challenge in data mining, particularly when dealing with large-scale datasets where traditional approaches fail to scale effectively. Recent Chameleon-based algorithms - Chameleon2, M-Chameleon,…

机器学习 · 计算机科学 2025-10-07 Priyanshu Singh , Kapil Ahuja

We introduce a new kinematic method to investigate the structure of open star clusters. We adopt a hierarchical clustering algorithm that uses the celestial coordinates and the proper motions of the stars in the field of view of the cluster…

星系天体物理 · 物理学 2020-08-26 Heng Yu , Zheng-Yi Shao , Antonaldo Diaferio , Lu Li

Reducing a chain complex (whilst preserving its homotopy-type) using algebraic Morse theory gives the same end-result as Gaussian elimination, but AMT does it only on certain rows/columns and with several pivots (in all matrices…

代数拓扑 · 数学 2020-10-05 Leon Lampret

Clustering aims to group unlabelled samples based on their similarities. It has become a significant tool for the analysis of high-dimensional data. However, most of the clustering methods merely generate pseudo labels and thus are unable…

人工智能 · 计算机科学 2023-06-21 Tianyi Huang , Shenghui Cheng , Stan Z. Li , Zhengjun Zhang

Cluster analysis has proved to be an invaluable tool for the exploratory and unsupervised analysis of high dimensional datasets. Among methods for clustering, hierarchical approaches have enjoyed substantial popularity in genomics and other…

统计方法学 · 统计学 2014-11-20 Patrick K. Kimes , Yufeng Liu , D. Neil Hayes , J. S. Marron