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Given their widespread usage in the real world, the fairness of clustering methods has become of major interest. Theoretical results on fair clustering show that fairness enjoys transitivity: given a set of small and fair clusters, a…

机器学习 · 计算机科学 2025-05-13 Mattia Setzu , Riccardo Guidotti

Three robust methods for clustering multivariate time series from the point of view of generating processes are proposed. The procedures are robust versions of a fuzzy C-means model based on: (i) estimates of the quantile cross-spectral…

统计方法学 · 统计学 2021-09-24 Ángel López-Oriona , Pierpaolo D'Urso , José Antonio Vilar , Borja Lafuente-Rego

During the last decades, a myriad of fuzzy time series models have been proposed in scientific literature. Among the most accurate models found in fuzzy time series, the high-order ones are the most accurate. The research described in this…

人工智能 · 计算机科学 2023-10-31 Daniel Ortiz-Arroyo

Data clustering is an important area of data mining. This is an unsupervised study where data of similar types are put into one cluster while data of another types are put into different cluster. Fuzzy C means is a very important clustering…

人工智能 · 计算机科学 2014-07-31 Dibya Jyoti Bora , Dr. Anil Kumar Gupta

Time series forecasting has gained lots of attention recently; this is because many real-world phenomena can be modeled as time series. The massive volume of data and recent advancements in the processing power of the computers enable…

机器学习 · 计算机科学 2021-04-01 Manie Tadayon , Yumi Iwashita

Fuzzy clustering is a famous unsupervised learning method used to collecting similar data elements within cluster according to some similarity measurement. But, clustering algorithms suffer from some drawbacks. Among the main weakness…

神经与进化计算 · 计算机科学 2018-02-27 Waleed Alomoush , Ayat Alrosan

Fuzzy clustering, which allows an article to belong to multiple clusters with soft membership degrees, plays a vital role in analyzing publication data. This problem can be formulated as a constrained optimization model, where the goal is…

最优化与控制 · 数学 2025-06-05 Vu Thi Huong , Ida Litzel , Thorsten Koch

Economic policy and research rely on the correct evaluation of the billions of high-frequency data points that we collect every day. Consistent clustering algorithms, like DBSCAN, allow us to make sense of the data in a useful way. However,…

统计理论 · 数学 2024-03-25 Nicholas Waltz

We study the problem of clustering sequences of unlabeled point sets taken from a common metric space. Such scenarios arise naturally in applications where a system or process is observed in distinct time intervals, such as biological…

数据结构与算法 · 计算机科学 2017-10-17 Tamal K. Dey , Alfred Rossi , Anastasios Sidiropoulos

The fuzzy or soft $k$-means objective is a popular generalization of the well-known $k$-means problem, extending the clustering capability of the $k$-means to datasets that are uncertain, vague, and otherwise hard to cluster. In this paper,…

机器学习 · 计算机科学 2021-11-05 Wasim Huleihel , Arya Mazumdar , Soumyabrata Pal

Recently there has been an increase in the studies on time-series data mining specifically time-series clustering due to the vast existence of time-series in various domains. The large volume of data in the form of time-series makes it…

机器学习 · 计算机科学 2019-12-06 Hossein Kamalzadeh , Abbas Ahmadi , Saeed Mansour

In this paper, we consider the task of clustering a set of individual time series while modeling each cluster, that is, model-based time series clustering. The task requires a parametric model with sufficient flexibility to describe the…

机器学习 · 计算机科学 2023-02-23 Ryohei Umatani , Takashi Imai , Kaoru Kawamoto , Shutaro Kunimasa

Feature selection is a vital technique in machine learning, as it can reduce computational complexity, improve model performance, and mitigate the risk of overfitting. However, the increasing complexity and dimensionality of datasets pose…

机器学习 · 计算机科学 2024-07-24 Yuepeng Chen , Weiping Ding , Hengrong Ju , Jiashuang Huang , Tao Yin

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

The input of most clustering algorithms is a symmetric matrix quantifying similarity within data pairs. Such a matrix is here turned into a quadratic set function measuring cluster score or similarity within data subsets larger than pairs.…

离散数学 · 计算机科学 2015-09-30 Giovanni Rossi

Clustering is an important part of many modern data analysis pipelines, including network analysis and data retrieval. There are many different clustering algorithms developed by various communities, and it is often not clear which…

机器学习 · 计算机科学 2019-10-04 Maria-Florina Balcan , Travis Dick , Manuel Lang

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…

In this paper, we propose a new fuzzy clustering algorithm based on the mode-seeking framework. Given a dataset in $\mathbb{R}^d$, we define regions of high density that we call cluster cores. We then consider a random walk on a…

机器学习 · 统计学 2016-06-23 Thomas Bonis , Steve Oudot

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

We propose a novel method for building fuzzy clusters of large data sets, using a smoothing numerical approach. The usual sum-of-squares criterion is relaxed so the search for good fuzzy partitions is made on a continuous space, rather than…

机器学习 · 统计学 2022-07-12 David Masis , Esteban Segura , Javier Trejos , Adilson Xavier