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A novel procedure to perform fuzzy clustering of multivariate time series generated from different dependence models is proposed. Different amounts of dissimilarity between the generating models or changes on the dynamic behaviours over…

统计方法学 · 统计学 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

In a data matrix, we may distinguish between cases, each represented by a row vector for a statistical unit, and cells, which correspond to single entries of the data matrix. Recent developments in Robust Statistics have introduced the…

Time series clustering is essential in scientific applications, yet methods for functional time series, collections of infinite-dimensional curves treated as random elements in a Hilbert space, remain underdeveloped. This work presents…

统计方法学 · 统计学 2025-04-03 Angel Lopez-Oriona , Ying Sun , Han Lin Shang

Clustering multivariate time series (MTS) is challenging due to non-stationary cross-dependencies, noise contamination, and gradual or overlapping state boundaries. We introduce a robust fuzzy clustering framework in the spectral domain…

应用统计 · 统计学 2025-11-03 Ziling Ma , Mara Sherlin Talento , Ying Sun , Hernando Ombao

Clustering multivariate time series data is a crucial task in many domains, as it enables the identification of meaningful patterns and groups in time-evolving data. Traditional approaches, such as crisp clustering, rely on the assumption…

统计方法学 · 统计学 2025-09-05 Ziling Ma , Ángel López-Oriona , Hernando Ombao , Ying Sun

In this paper, several two-dimensional clustering scenarios are given. In those scenarios, soft partitioning clustering algorithms (Fuzzy C-means (FCM) and Possibilistic c-means (PCM)) are applied. Afterward, VAT is used to investigate the…

Multivariate time series data come as a collection of time series describing different aspects of a certain temporal phenomenon. Anomaly detection in this type of data constitutes a challenging problem yet with numerous applications in…

人工智能 · 计算机科学 2025-11-12 Jinbo Li , Hesam Izakian , Witold Pedrycz , Iqbal Jamal

Time series clustering is a central machine learning task with applications in many fields. While the majority of the methods focus on real-valued time series, very few works consider series with discrete response. In this paper, the…

机器学习 · 统计学 2023-04-25 Ángel López Oriona , Christian Weiss , José Antonio Vilar

Time series clustering is an essential machine learning task with applications in many disciplines. While the majority of the methods focus on time series taking values on the real line, very few works consider time series defined on the…

应用统计 · 统计学 2024-02-15 Ángel López-Oriona , Ying Sun , Rosa M. Crujeiras

Fuzzy clustering provides a natural framework for modeling partial memberships, particularly important in multivariate time series (MTS) where state boundaries are often ambiguous. For example, in EEG monitoring of driver alertness, neural…

统计计算 · 统计学 2025-11-03 Ziling Ma , Ángel López-Oriona , Hernando Ombao , Ying Sun

In this work a robust clustering algorithm for stationary time series is proposed. The algorithm is based on the use of estimated spectral densities, which are considered as functional data, as the basic characteristic of stationary time…

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

统计方法学 · 统计学 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

The existence of large volumes of time series data in many applications has motivated data miners to investigate specialized methods for mining time series data. Clustering is a popular data mining method due to its powerful exploratory…

机器学习 · 计算机科学 2016-08-04 Fateme Fahiman , Jame C. Bezdek , Sarah M. Erfani , Christopher Leckie , Marimuthu Palaniswami

Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outliers in the data. Even a few outliers can compromise the…

机器学习 · 统计学 2015-05-27 Pedro A. Forero , Vassilis Kekatos , Georgios B. Giannakis

Clustering is one of the widely used data mining techniques for medical diagnosis. Clustering can be considered as the most important unsupervised learning technique. Most of the clustering methods group data based on distance and few…

机器学习 · 计算机科学 2012-12-24 K. Dhanalakshmi , H. Hannah Inbarani

This paper develops a new time series clustering procedure allowing for heteroskedasticity, non-normality and model's non-linearity. At this aim, we follow a fuzzy approach. Specifically, considering a Dynamic Conditional Score (DCS) model,…

统计方法学 · 统计学 2021-04-02 Roy Cerqueti , Massimiliano Giacalone , Raffaele Mattera

Fuzzy K-Means clustering is a critical technique in unsupervised data analysis. Unlike traditional hard clustering algorithms such as K-Means, it allows data points to belong to multiple clusters with varying degrees of membership,…

机器学习 · 计算机科学 2024-11-08 Yichen Bao , Han Lu , Quanxue Gao

Cluster analysis is widely used in the areas of machine learning and data mining. Fuzzy clustering is a particular method that considers that a data point can belong to more than one cluster. Fuzzy clustering helps obtain flexible clusters,…

机器学习 · 计算机科学 2018-06-06 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont

Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust,…

Clustering of event stream data is of great importance in many application scenarios, including but not limited to, e-commerce, electronic health, online testing, mobile music service, etc. Existing clustering algorithms fail to take…

统计方法学 · 统计学 2024-05-29 Yuecheng Zhang , Guanhua Fang , Wen Yu
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