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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…

Applications · Statistics 2024-02-15 Ángel López-Oriona , Ying Sun , Rosa M. Crujeiras

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…

Methodology · Statistics 2025-04-03 Angel Lopez-Oriona , Ying Sun , Han Lin Shang

Fuzzy clustering methods allow the objects to belong to several clusters simultaneously, with different degrees of membership. However, a factor that influences the performance of fuzzy algorithms is the value of fuzzifier parameter. In…

Methodology · Statistics 2015-10-08 Carmela Iorio , Gianluca Frasso , Antonio D'Ambrosio , Roberta Siciliano

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…

Methodology · Statistics 2025-09-05 Ziling Ma , Ángel López-Oriona , Hernando Ombao , Ying Sun

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…

Machine Learning · Computer Science 2016-08-04 Fateme Fahiman , Jame C. Bezdek , Sarah M. Erfani , Christopher Leckie , Marimuthu Palaniswami

Time series clustering is the process of grouping time series with respect to their similarity or characteristics. Previous approaches usually combine a specific distance measure for time series and a standard clustering method. However,…

Mining Time Series data has a tremendous growth of interest in today's world. To provide an indication various implementations are studied and summarized to identify the different problems in existing applications. Clustering time series is…

Information Retrieval · Computer Science 2010-05-25 V. Kavitha , M. Punithavalli

A fuzzy clustering algorithm for multidimensional data is proposed in this article. The data is described by vectors whose components are linguistic variables defined in an ordinal scale. The obtained results confirm the efficiency of the…

Artificial Intelligence · Computer Science 2017-01-16 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Viktoriia O. Samitova

Starting from a dataset with input/output time series generated by multiple deterministic linear dynamical systems, this paper tackles the problem of automatically clustering these time series. We propose an extension to the so-called…

Systems and Control · Computer Science 2018-03-09 Oliver Lauwers , Bart De Moor

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,…

Methodology · Statistics 2021-04-02 Roy Cerqueti , Massimiliano Giacalone , Raffaele Mattera

In recent years, the problem of fuzzy clustering has been widely concerned. The membership iteration of existing methods is mostly considered globally, which has considerable problems in noisy environments, and iterative calculations for…

Machine Learning · Computer Science 2023-03-09 Jiang Xie , Qiao Deng , Shuyin Xia , Yangzhou Zhao , Guoyin Wang , Xinbo Gao

The clustering methods have been used in a variety of fields such as image processing, data mining, pattern recognition, and statistical analysis. Generally, the clustering algorithms consider all variables equally relevant or not…

Machine Learning · Computer Science 2021-02-19 Sara Ines Rizo Rodriguez , Francisco de Assis Tenorio de Carvalho

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…

Methodology · Statistics 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

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…

Artificial Intelligence · Computer Science 2025-11-12 Jinbo Li , Hesam Izakian , Witold Pedrycz , Iqbal Jamal

In this paper, a novel method to perform model-based clustering of time series is proposed. The procedure relies on two iterative steps: (i) K global forecasting models are fitted via pooling by considering the series pertaining to each…

Machine Learning · Statistics 2023-05-02 Ángel López Oriona , Pablo Montero Manso , José Antonio Vilar Fernández

A task of clustering data given in the ordinal scale under conditions of overlapping clusters has been considered. It's proposed to use an approach based on memberhsip and likelihood functions sharing. A number of performed experiments…

Machine Learning · Computer Science 2017-02-07 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Viktoriia O. Samitova

This paper addresses the ambitious goal of merging two different approaches to group detection in complex domains: one based on fuzzy clustering and the other on community detection theory. To achieve this, two clustering algorithms are…

Clustering is a popular machine learning technique for data mining that can process and analyze datasets to automatically reveal sample distribution patterns. Since the ubiquitous categorical data naturally lack a well-defined metric space…

Machine Learning · Computer Science 2025-09-01 Yiqun Zhang , Mingjie Zhao , Hong Jia , Yang Lu , Mengke Li , Yiu-ming Cheung

The conventional clustering algorithms have difficulties in handling the challenges posed by the collection of natural data which is often vague and uncertain. Fuzzy clustering methods have the potential to manage such situations…

Information Retrieval · Computer Science 2014-06-09 Satendra kumar , Mamta kathuria , Alok Kumar Gupta , Monika Rani

The following working document summarizes our work on the clustering of financial time series. It was written for a workshop on information geometry and its application for image and signal processing. This workshop brought several experts…

Statistical Finance · Quantitative Finance 2016-03-28 Gautier Marti , Frank Nielsen , Philippe Donnat , Sébastien Andler
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