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Clustering is a cornerstone of modern data analysis. Detecting clusters in exploratory data analyses (EDA) requires algorithms that make few assumptions about the data. Density-based clustering algorithms are particularly well-suited for…

机器学习 · 计算机科学 2026-02-03 Daniël Bot , Leland McInnes , Jan Aerts

Clustering is a separation of data into groups of similar objects. Every group called cluster consists of objects that are similar to one another and dissimilar to objects of other groups. In this paper, the K-Means algorithm is implemented…

机器学习 · 计算机科学 2013-04-03 P. Ashok , G. M Kadhar Nawaz , E. Elayaraja , V. Vadivel

This paper considers a network of sensors without fusion center that may be difficult to set up in applications involving sensors embedded on autonomous drones or robots. In this context, this paper considers that the sensors must perform a…

统计理论 · 数学 2017-06-13 Dominique Pastor , Elsa Dupraz , François-Xavier Socheleau

Clustering is a fundamental problem in machine learning where distance-based approaches have dominated the field for many decades. This set of problems is often tackled by partitioning the data into K clusters where the number of clusters…

Clustering under pairwise constraints is an important knowledge discovery tool that enables the learning of appropriate kernels or distance metrics to improve clustering performance. These pairwise constraints, which come in the form of…

机器学习 · 计算机科学 2022-03-24 Benedikt Boecking , Vincent Jeanselme , Artur Dubrawski

Density-based clustering has found numerous applications across various domains. The Density-Based Spatial Clustering of Applications with Noise (DBSCAN) algorithm is capable of finding clusters of varied shapes that are not linearly…

数据库 · 计算机科学 2019-12-03 Vinayak Mathur , Jinesh Mehta , Sanjay Singh

Clustering algorithms aim to organize data into groups or clusters based on the inherent patterns and similarities within the data. They play an important role in today's life, such as in marketing and e-commerce, healthcare, data…

机器学习 · 计算机科学 2024-01-17 Hui Yin , Amir Aryani , Stephen Petrie , Aishwarya Nambissan , Aland Astudillo , Shengyuan Cao

In this paper we revisit the kernel density estimation problem: given a kernel $K(x, y)$ and a dataset of $n$ points in high dimensional Euclidean space, prepare a data structure that can quickly output, given a query $q$, a…

数据结构与算法 · 计算机科学 2020-11-16 Moses Charikar , Michael Kapralov , Navid Nouri , Paris Siminelakis

We study generalized density-based clustering in which sharply defined clusters such as clusters on lower-dimensional manifolds are allowed. We show that accurate clustering is possible even in high dimensions. We propose two data-based…

统计理论 · 数学 2010-11-11 Alessandro Rinaldo , Larry Wasserman

Organizing data into semantically more meaningful is one of the fundamental modes of understanding and learning. Cluster analysis is a formal study of methods for understanding and algorithm for learning. K-mean clustering algorithm is one…

机器学习 · 计算机科学 2013-01-03 Doreswamy , K. S. Hemanth

Clustering is a long-standing research problem and a fundamental tool in AI and data analysis. The traditional k-center problem, a fundamental theoretical challenge in clustering, has a best possible approximation ratio of 2, and any…

机器学习 · 计算机科学 2026-04-28 Chaoqi Jia , Longkun Guo , Kewen Liao , Zhigang Lu , Chao Chen , Jason Xue

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…

机器学习 · 计算机科学 2021-10-15 Chao Zheng , Yingjie Chen , Chong Chen , Jianqiang Huang , Xian-Sheng Hua

Existing clustering methods are based on a single granularity of information, such as the distance and density of each data. This most fine-grained based approach is usually inefficient and susceptible to noise. Inspired by adaptive process…

机器学习 · 计算机科学 2023-03-03 Shuyin Xia , Jiang Xie , Guoyin Wang

Deep learning models have become widely adopted in various domains, but their performance heavily relies on a vast amount of data. Datasets often contain a large number of irrelevant or redundant samples, which can lead to computational…

音频与语音处理 · 电气工程与系统科学 2023-09-22 Boris Bergsma , Marta Brzezinska , Oleg V. Yazyev , Milos Cernak

A difficult problem in clustering is how to handle data with a manifold structure, i.e. data that is not shaped in the form of compact clouds of points, forming arbitrary shapes or paths embedded in a high-dimensional space. In this work we…

计算机视觉与模式识别 · 计算机科学 2010-06-15 Ariel E. Baya , Pablo M. Granitto

Manifold clustering, with its exceptional ability to capture complex data structures, holds a pivotal position in cluster analysis. However, existing methods often focus only on finding the optimal combination between K-means and manifold…

机器学习 · 计算机科学 2025-04-30 Fangfang Li , Quanxue Gao

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

Broad searches for continuous gravitational wave signals rely on hierarchies of follow-up stages for candidates above a given significance threshold. An important step to simplify these follow-ups and reduce the computational cost is to…

广义相对论与量子宇宙学 · 物理学 2021-03-24 Banafsheh Beheshtipour , Maria Alessandra Papa

Density-based clustering is the most popular clustering algorithm since it can identify clusters of arbitrary shape as long as they are separated by low-density regions. However, a high-density region that is not separated by low-density…

机器学习 · 计算机科学 2025-02-17 Hao Shu

The idea underlying the modal formulation of density-based clustering is to associate groups with the regions around the modes of the probability density function underlying the data. This correspondence between clusters and dense regions…

社会与信息网络 · 计算机科学 2021-01-22 Giovanna Menardi , Domenico De Stefano