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Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been applied for pattern comparison: (i) distances; (ii)…

物理与社会 · 物理学 2024-07-12 Alexandre Benatti , Luciano da F. Costa

Clustering methods seek to partition data such that elements are more similar to elements in the same cluster than to elements in different clusters. The main challenge in this task is the lack of a unified definition of a cluster,…

统计理论 · 数学 2022-07-06 Franz Besold , Vladimir Spokoiny

Clustering is a fundamental unsupervised learning task with applications across a wide range of domains. Popular algorithms such as $k$-means are efficient and widely used, but can be sensitive to outliers, ambiguous boundary points, and…

机器学习 · 计算机科学 2026-03-12 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

Subspace clustering discovers the clusters embedded in multiple, overlapping subspaces of high dimensional data. Many significant subspace clustering algorithms exist, each having different characteristics caused by the use of different…

数据库 · 计算机科学 2013-04-15 Sunita Jahirabadkar , Parag Kulkarni

The problem of estimating the number of clusters (say k) is one of the major challenges for the partitional clustering. This paper proposes an algorithm named k-SCC to estimate the optimal k in categorical data clustering. For the…

机器学习 · 计算机科学 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

Large-scale deployment of smart meters has made it possible to collect sufficient and high-resolution data of residential electric demand profiles. Clustering analysis of these profiles is important to further analyze and comment on…

信号处理 · 电气工程与系统科学 2021-03-02 Mayank Jain , Tarek AlSkaif , Soumyabrata Dev

Clustering problems are considered amongst the prominent challenges in statistics and computational science. Clustering of nodes in wireless sensor networks which is used to prolong the life-time of networks is one of the difficult tasks of…

人工智能 · 计算机科学 2015-06-02 Reza Azizi , Hasan Sedghi , Hamid Shoja , Alireza Sepas-Moghaddam

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

After generalizing the concept of clusters to incorporate clusters that are linked to other clusters through some relatively narrow bridges, an approach for detecting patches of separation between these clusters is developed based on an…

计算机视觉与模式识别 · 计算机科学 2020-01-10 Luciano da F. Costa

Many cluster similarity indices are used to evaluate clustering algorithms, and choosing the best one for a particular task remains an open problem. We demonstrate that this problem is crucial: there are many disagreements among the…

离散数学 · 计算机科学 2021-08-27 Martijn Gösgens , Alexey Tikhonov , Liudmila Prokhorenkova

In this article, a new method, called FWP, is proposed for clustering longitudinal curves. In the proposed method, clusters of mean functions are identified through a weighted concave pairwise fusion method. The EM algorithm and the…

统计方法学 · 统计学 2023-06-14 Xin Wang

Unsupervised learning has gained prominence in the big data era, offering a means to extract valuable insights from unlabeled datasets. Deep clustering has emerged as an important unsupervised category, aiming to exploit the non-linear…

机器学习 · 计算机科学 2024-02-02 Georgios Vardakas , Ioannis Papakostas , Aristidis Likas

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

数据结构与算法 · 计算机科学 2015-12-01 Ka-Chun Wong

There are many cluster analysis methods that can produce quite different clusterings on the same dataset. Cluster validation is about the evaluation of the quality of a clustering; "relative cluster validation" is about using such criteria…

统计方法学 · 统计学 2020-09-10 Christian Hennig

We propose a Fourier-based approach for optimization of several clustering algorithms. Mathematically, clusters data can be described by a density function represented by the Dirac mixture distribution. The density function can be smoothed…

机器学习 · 计算机科学 2019-09-24 Soheil Mehrabkhani

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.…

机器学习 · 计算机科学 2023-10-26 Nabil El Malki , Robin Cugny , Olivier Teste , Franck Ravat

The clustering of a data set is one of the core tasks in data analytics. Many clustering algorithms exhibit a strong contrast between a favorable performance in practice and bad theoretical worst-cases. Prime examples are least-squares…

最优化与控制 · 数学 2018-09-05 S. Borgwardt , F. Happach

We study anomaly clustering, grouping data into coherent clusters of anomaly types. This is different from anomaly detection that aims to divide anomalies from normal data. Unlike object-centered image clustering, anomaly clustering is…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Kihyuk Sohn , Jinsung Yoon , Chun-Liang Li , Chen-Yu Lee , Tomas Pfister

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

统计方法学 · 统计学 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

统计方法学 · 统计学 2020-06-24 Serhat Emre Akhanli , Christian Hennig