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One of the main challenges in data mining is choosing the optimal number of clusters without prior information. Notably, existing methods are usually in the philosophy of cluster validation and hence have underlying assumptions on data…

计算机视觉与模式识别 · 计算机科学 2026-03-31 Ruilin Zhang , Haiyang Zheng , Hongpeng Wang

This paper proposes a new distance metric between clusterings that incorporates information about the spatial distribution of points and clusters. Our approach builds on the idea of a Hilbert space-based representation of clusters as a…

机器学习 · 计算机科学 2015-03-18 Parasaran Raman , Jeff M. Phillips , Suresh Venkatasubramanian

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Clustering algorithms are widely utilized for many modern data science applications. This motivates the need to make outputs of clustering algorithms fair. Traditionally, new fair algorithmic variants to clustering algorithms are developed…

机器学习 · 计算机科学 2021-10-26 Anshuman Chhabra , Adish Singla , Prasant Mohapatra

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.…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Unsupervised clustering algorithm can effectively reduce the dimension of high-dimensional unlabeled data, thus reducing the time and space complexity of data processing. However, the traditional clustering algorithm needs to set the upper…

机器学习 · 计算机科学 2022-01-17 Zecang Gu , Xiaoqi Sun , Yuan Sun , Fuquan Zhang

Clustering in high dimension spaces is a difficult task; the usual distance metrics may no longer be appropriate under the curse of dimensionality. Indeed, the choice of the metric is crucial, and it is highly dependent on the dataset…

机器学习 · 计算机科学 2023-02-14 Simo Alami. C , Rim Kaddah , Jesse Read

Deep clustering, a method for partitioning complex, high-dimensional data using deep neural networks, presents unique evaluation challenges. Traditional clustering validation measures, designed for low-dimensional spaces, are problematic…

机器学习 · 统计学 2024-03-25 Zeya Wang , Chenglong Ye

Semi-supervised clustering methods incorporate a limited amount of supervision into the clustering process. Typically, this supervision is provided by the user in the form of pairwise constraints. Existing methods use such constraints in…

机器学习 · 统计学 2016-09-26 Toon Van Craenendonck , Hendrik Blockeel

Identifying the number $K$ of clusters in a dataset is one of the most difficult problems in clustering analysis. A choice of $K$ that correctly characterizes the features of the data is essential for building meaningful clusters. In this…

统计方法学 · 统计学 2019-05-06 Adriano Zanin Zambom , Julian A. Collazos , Ronaldo Dias

Unsupervised clustering aims at discovering the semantic categories of data according to some distance measured in the representation space. However, different categories often overlap with each other in the representation space at the…

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

统计方法学 · 统计学 2025-11-12 Kentaro Fukumoto

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…

分布式、并行与集群计算 · 计算机科学 2022-11-11 Dipesh Gyawali

Distributed processing over networks relies on in-network processing and cooperation among neighboring agents. Cooperation is beneficial when agents share a common objective. However, in many applications agents may belong to different…

最优化与控制 · 数学 2023-07-19 Xiaochuan Zhao , Ali H. Sayed

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

机器学习 · 计算机科学 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. As such, the study of clusterability, which evaluates whether data possesses such structure, is an integral part of cluster analysis. Yet,…

机器学习 · 计算机科学 2016-02-24 Margareta Ackerman , Andreas Adolfsson , Naomi Brownstein

Clustering is a core task in machine learning with wide-ranging applications in data mining and pattern recognition. However, its unsupervised nature makes it inherently challenging. Many existing clustering algorithms suffer from critical…

机器学习 · 计算机科学 2025-07-29 Ahmed Shokry , Ayman Khalafallah

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

统计方法学 · 统计学 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

The increasing needs of clustering massive datasets and the high cost of running clustering algorithms poses difficult problems for users. In this context it is important to determine if a data set is clusterable, that is, it may be…

机器学习 · 计算机科学 2020-01-08 Dan Simovici , Kaixun Hua

We study the following distribution clustering problem: Given a hidden partition of $k$ distributions into two groups, such that the distributions within each group are the same, and the two distributions associated with the two clusters…

数据结构与算法 · 计算机科学 2025-12-10 Gunjan Kumar , Yash Pote , Jonathan Scarlett