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CFSFDP (clustering by fast search and find of density peaks) is recently developed density-based clustering algorithm. Compared to DBSCAN, it needs less parameters and is computationally cheap for its non-iteration. Alex. at al have…

Data Structures and Algorithms · Computer Science 2015-05-22 Wenkai Zhang , Jing Li

Cluster analysis is the distribution of objects into different groups or more precisely the partitioning of a data set into subsets (clusters) so that the data in subsets share some common trait according to some distance measure. Unlike…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-17 Tuli De , Didier Fraix-Burnet , Asis Kumar Chattopadhyay

Clustering is a usual unsupervised machine learning technique for grouping the data points into groups based upon similar features. We focus here on unsupervised clustering for contaminated data, i.e in the case where K-medians should be…

Statistics Theory · Mathematics 2024-02-28 Antoine Godichon-Baggioni , Sobihan Surendran

We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian densities. Information on the dimension reduction subspace is obtained from the variation on group means and,…

Methodology · Statistics 2015-08-10 Luca Scrucca

NLP pipelines with limited or no labeled data, rely on unsupervised methods for document processing. Unsupervised approaches typically depend on clustering of terms or documents. In this paper, we introduce a novel clustering algorithm,…

Information Retrieval · Computer Science 2023-04-13 Rajesh N Rao , Manojit Chakraborty

Graph Spectral Clustering methods (GSC) allow representing clusters of diverse shapes, densities, etc. However, the results of such algorithms, when applied e.g. to text documents, are hard to explain to the user, especially due to…

High density clusters can be characterized by the connected components of a level set $L(\lambda) = \{x:\ p(x)>\lambda\}$ of the underlying probability density function $p$ generating the data, at some appropriate level $\lambda\geq 0$. The…

Machine Learning · Statistics 2010-11-15 Alessandro Rinaldo , Aarti Singh , Rebecca Nugent , Larry Wasserman

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

Applications · Statistics 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

Identifying possible clusters in datasets and estimating their overall modularity are central tasks in pattern recognition. In the present work, concepts and methodologies are described for performing these tasks while considering only the…

Physics and Society · Physics 2026-05-27 Alexandre Benatti , Luciano da F. Costa

Clustering is a class of unsupervised learning methods that has been extensively applied and studied in computer vision. Little work has been done to adapt it to the end-to-end training of visual features on large scale datasets. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Mathilde Caron , Piotr Bojanowski , Armand Joulin , Matthijs Douze

Star cluster studies hold the key to understanding star formation, stellar evolution, and origin of galaxies. The detection and characterization of clusters depend on the underlying background density and the cluster richness. We examine…

Astrophysics of Galaxies · Physics 2018-11-07 Srirag Nambiar , Soumyadeep Das , Sarita Vig , Gorthi R. K. S. S. Manyam

The one-point probability distribution function (pdf) is computed for the $25\hmpc$-smoothed density field of rich clusters of galaxies in the Abell/\aco\ catalogs. The observed pdf is compared to the pdf s drawn similarly from mock…

Astrophysics · Physics 2007-05-23 Tsafrir Kolatt

Density based spatial clustering of points in $\mathbb{R}^n$ has a myriad of applications in a variety of industries. We generalise this problem to the density based clustering of lines in high-dimensional spaces, keeping in mind there…

Machine Learning · Computer Science 2024-10-04 Akanksha Das , Malay Bhattacharyya

We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

Statistics Theory · Mathematics 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

Nonparametric estimation of a mixing density based on observations from the corresponding mixture is a challenging statistical problem. This paper surveys the literature on a fast, recursive estimator based on the predictive recursion…

Methodology · Statistics 2022-09-15 Ryan Martin

Peer-grouping is used in many sectors for organisational learning, policy implementation, and benchmarking. Clustering provides a statistical, data-driven method for constructing meaningful peer groups, but peer groups must be compatible…

Applications · Statistics 2021-07-14 Daniel William Kennedy , Jessica Cameron , Paul Pao-Yen Wu , Kerrie Mengersen

Clustering is a data analysis method for extracting knowledge by discovering groups of data called clusters. Among these methods, state-of-the-art density-based clustering methods have proven to be effective for arbitrary-shaped clusters.…

Machine Learning · Computer Science 2023-10-26 Nabil El Malki , Robin Cugny , Olivier Teste , Franck Ravat

Mixture cure models have been widely used to analyze survival data with a cure fraction. They assume that a subgroup of the individuals under study will never experience the event (cured subjects). So, the goal is twofold: to study both the…

Methodology · Statistics 2024-02-01 Ana López-Cheda , M. Amalia Jácome , Ignacio López-de-Ullibarri

The usefulness of Bayesian models for density and cluster estimation is well established across multiple literatures. However, there is still a known tension between the use of simpler, more interpretable models and more flexible, complex…

Methodology · Statistics 2025-10-07 Henrique Bolfarine , Hedibert F. Lopes , Carlos M. Carvalho

Data-based classification is fundamental to most branches of science. While recent years have brought enormous progress in various areas of statistical computing and clustering, some general challenges in clustering remain: model selection,…

Artificial Intelligence · Computer Science 2007-06-13 Jens Oehlschlägel