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Finding a suitable density function is essential for density-based clustering algorithms such as DBSCAN and DPC. A naive density corresponding to the indicator function of a unit $d$-dimensional Euclidean ball is commonly used in these…

Machine Learning · Computer Science 2021-10-15 Chao Zheng , Yingjie Chen , Chong Chen , Jianqiang Huang , Xian-Sheng Hua

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

Machine Learning · Statistics 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

Reduced k-means clustering is a method for clustering objects in a low-dimensional subspace. The advantage of this method is that both clustering of objects and low-dimensional subspace reflecting the cluster structure are simultaneously…

Statistics Theory · Mathematics 2014-02-14 Yoshikazu Terada

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

A network has a non-overlapping community structure if the nodes of the network can be partitioned into disjoint sets such that each node in a set is densely connected to other nodes inside the set and sparsely connected to the nodes out-…

Social and Information Networks · Computer Science 2016-07-19 Talasila Sai Deepak , Hindol Adhya , Shyamal Kejriwal , Bhanuteja Gullapalli , Saswata Shannigrahi

We investigate task clustering for deep-learning based multi-task and few-shot learning in a many-task setting. We propose a new method to measure task similarities with cross-task transfer performance matrix for the deep learning scenario.…

Machine Learning · Computer Science 2018-05-21 Mo Yu , Xiaoxiao Guo , Jinfeng Yi , Shiyu Chang , Saloni Potdar , Gerald Tesauro , Haoyu Wang , Bowen Zhou

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

Clustering is a common technique for statistical data analysis, which is used in many fields, including machine learning, data mining, pattern recognition, image analysis and bioinformatics. Clustering is the process of grouping similar…

Data Structures and Algorithms · Computer Science 2012-05-08 T. Soni Madhulatha

In this paper we are going to introduce a new nearest neighbours based approach to clustering, and compare it with previous solutions; the resulting algorithm, which takes inspiration from both DBscan and minimum spanning tree approaches,…

Data Structures and Algorithms · Computer Science 2014-07-14 Marcello La Rocca

We introduce a modified model of random walk, and then develop two novel clustering algorithms based on it. In the algorithms, each data point in a dataset is considered as a particle which can move at random in space according to the…

Machine Learning · Computer Science 2008-10-31 Qiang Li , Yan He , Jing-ping Jiang

Comparison of three kind of the clustering and find cost function and loss function and calculate them. Error rate of the clustering methods and how to calculate the error percentage always be one on the important factor for evaluating the…

Machine Learning · Computer Science 2014-11-14 Kamran Kowsari

The k-means algorithm is a partitional clustering method. Over 60 years old, it has been successfully used for a variety of problems. The popularity of k-means is in large part a consequence of its simplicity and efficiency. In this paper…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

Probability · Mathematics 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

Machine Learning · Computer Science 2025-11-25 Naitik Gada

Clustering algorithms are of fundamental importance when dealing with large unstructured datasets and discovering new patterns and correlations therein, with applications ranging from scientific research to medical imaging and marketing…

Quantum Physics · Physics 2023-02-10 Duarte Magano , Lorenzo Buffoni , Yasser Omar

Designing categorical kernels is a major challenge for Gaussian process regression with continuous and categorical inputs. Despite previous studies, it is difficult to identify a preferred method, either because the evaluation metrics, the…

Machine Learning · Statistics 2025-10-03 Raphaël Carpintero Perez , Sébastien Da Veiga , Josselin Garnier

Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

Machine Learning · Computer Science 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

Clustering is a fundamental data mining tool that aims to divide data into groups of similar items. Generally, intuition about clustering reflects the ideal case -- exact data sets endowed with flawless dissimilarity between individual…

Machine Learning · Computer Science 2016-01-25 Margareta Ackerman , Jarrod Moore

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. For most applications, applying clustering is only appropriate when cluster structure is present. As such, the study of clusterability,…

Machine Learning · Statistics 2018-10-30 A. Adolfsson , M. Ackerman , N. C. Brownstein

A novel clustering technique based on the projection onto convex set (POCS) method, called POCS-based clustering algorithm, is proposed in this paper. The proposed POCS-based clustering algorithm exploits a parallel projection method of…

Machine Learning · Computer Science 2023-03-24 Le-Anh Tran , Henock M. Deberneh , Truong-Dong Do , Thanh-Dat Nguyen , My-Ha Le , Dong-Chul Park