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The mixture model is undoubtedly one of the greatest contributions to clustering. For continuous data, Gaussian models are often used and the Expectation-Maximization (EM) algorithm is particularly suitable for estimating parameters from…

机器学习 · 统计学 2025-11-25 Zineddine Tighidet , Lazhar Labiod , Mohamed Nadif

In data containing heterogeneous subpopulations, classification performance benefits from incorporating the knowledge of cluster structure in the classifier. Previous methods for such combined clustering and classification either 1) are…

机器学习 · 计算机科学 2023-01-04 Shivin Srivastava , Siddharth Bhatia , Lingxiao Huang , Lim Jun Heng , Kenji Kawaguchi , Vaibhav Rajan

In this paper, we consider clustering based on principal component analysis (PCA) for high-dimension, low-sample-size (HDLSS) data. We give theoretical reasons why PCA is effective for clustering HDLSS data. First, we derive a geometric…

统计理论 · 数学 2015-03-17 Kazuyoshi Yata , Makoto Aoshima

This paper concerns the critical decision process of extracting or selecting the features before applying a clustering algorithm. It is not obvious to evaluate the importance of the features since the most popular methods to do it are…

机器学习 · 计算机科学 2021-11-23 Jean-Sebastien Dessureault , Daniel Massicotte

Recommender systems are one of the most applied methods in machine learning and find applications in many areas, ranging from economics to the Internet of things. This article provides a general overview of modern approaches to recommender…

信息检索 · 计算机科学 2021-09-28 Irina Beregovskaya , Mikhail Koroteev

In many applications, data cluster. Failing to take the cluster structure into consideration generally leads to underestimated variances of point estimators and inflated type I errors in hypothesis tests. Many circumstance-dependent…

统计方法学 · 统计学 2025-07-21 Jiahua Chen , Pengfei Li , Yukun Liu , James V. Zidek

Neural network-based clustering has recently gained popularity, and in particular a constrained clustering formulation has been proposed to perform transfer learning and image category discovery using deep learning. The core idea is to…

计算机视觉与模式识别 · 计算机科学 2018-06-29 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira

Count data is becoming more and more ubiquitous in a wide range of applications, with datasets growing both in size and in dimension. In this context, an increasing amount of work is dedicated to the construction of statistical models…

Usual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the…

数据分析、统计与概率 · 物理学 2007-05-23 Alexandre H. Abdo , A. P. S. de Moura

Composite indicators are widely used to score or classify units evaluated on multiple criteria. Their construction typically involves aggregating criteria evaluations, a common practice in Multiple Criteria Decision Aiding (MCDA). Beyond…

机器学习 · 计算机科学 2026-03-04 Salvatore Corrente , Salvatore Greco , Roman Słowiński , Silvano Zappalà

Dimensionality reduction (DR) is frequently used for analyzing and visualizing high-dimensional data as it provides a good first glance of the data. However, to interpret the DR result for gaining useful insights from the data, it would…

机器学习 · 计算机科学 2019-10-16 Takanori Fujiwara , Oh-Hyun Kwon , Kwan-Liu Ma

Clustering is an unsupervised learning problem that aims to partition unlabelled data points into groups with similar features. Traditional clustering algorithms provide limited insight into the groups they find as their main focus is…

机器学习 · 计算机科学 2022-10-18 Connor Lawless , Oktay Gunluk

In the context of cluster analysis and graph partitioning, many external evaluation measures have been proposed in the literature to compare two partitions of the same set. This makes the task of selecting the most appropriate measure for a…

机器学习 · 计算机科学 2021-02-09 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

统计方法学 · 统计学 2014-07-11 Eric Bair

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

机器学习 · 计算机科学 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

机器学习 · 统计学 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

Document clustering is an unsupervised approach in which a large collection of documents (corpus) is subdivided into smaller, meaningful, identifiable, and verifiable sub-groups (clusters). Meaningful representation of documents and…

信息检索 · 计算机科学 2014-12-08 Muhammad Rafi , Farnaz Amin , Mohammad Shahid Shaikh

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

数据库 · 计算机科学 2016-10-03 Till Schäfer , Petra Mutzel

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2019-12-20 Hongjing Zhang , Sugato Basu , Ian Davidson

With the rapid development of machine learning, improving its explainability has become a crucial research goal. We study the problem of making the clusters more explainable by investigating the cluster descriptors. Given a set of objects…

机器学习 · 计算机科学 2022-10-21 Xiaoyuan Liu , Ilya Tyagin , Hayato Ushijima-Mwesigwa , Indradeep Ghosh , Ilya Safro