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Being robust to the presence of outliers is crucial for applying clustering algorithms in practice. In the $\textit{robust $k$-Means}$ problem (i.e., $k$-Means with outliers), the goal is to remove $z$ outliers and minimize the $k$-Means…

机器学习 · 计算机科学 2026-05-11 Tianle Jiang , Yufa Zhou

Cellwise outliers are likely to occur together with casewise outliers in modern data sets with relatively large dimension. Recent work has shown that traditional robust regression methods may fail for data sets in this paradigm. The…

统计理论 · 数学 2016-12-28 Andy Leung , Hongyang Zhang , Ruben H. Zamar

Outliers are the points which are different from or inconsistent with the rest of the data. They can be novel, new, abnormal, unusual or noisy information. Outliers are sometimes more interesting than the majority of the data. The main…

计算机视觉与模式识别 · 计算机科学 2014-06-20 Singh Vijendra , Pathak Shivani

In this paper I introduce quantile spectral densities that summarize the cyclical behavior of time series across their whole distribution by analyzing periodicities in quantile crossings. This approach can capture systematic changes in the…

统计理论 · 数学 2013-08-28 Andreas Hagemann

Fuzzy rough set theory is effective for processing datasets with complex attributes, supported by a solid mathematical foundation and closely linked to kernel methods in machine learning. Attribute reduction algorithms and classifiers based…

人工智能 · 计算机科学 2025-01-31 Shuyin Xia , Xiaoyu Lian , Binbin Sang , Guoyin Wang , Xinbo Gao

The Gaussian cluster-weighted model (CWM) is a mixture of regression models with random covariates that allows for flexible clustering of a random vector composed of response variables and covariates. In each mixture component, it adopts a…

统计方法学 · 统计学 2014-09-23 Antonio Punzo , Paul D. McNicholas

A weighted likelihood approach for robust fitting of a mixture of multivariate Gaussian components is developed in this work. Two approaches have been proposed that are driven by a suitable modification of the standard EM and CEM…

统计方法学 · 统计学 2018-11-19 Luca Greco , Claudio Agostinelli

We introduce a parsimonious model-based framework for clustering time course data. In these applications the computational burden becomes often an issue due to the number of available observations. The measured time series can also be very…

统计方法学 · 统计学 2015-09-03 Carmela Iorio , Gianluca Frasso , Antonio D'Ambrosio , Roberta Siciliano

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

机器学习 · 计算机科学 2025-11-25 Naitik Gada

In longitudinal data analysis, observation points of repeated measurements over time often vary among subjects except in well-designed experimental studies. Additionally, measurements for each subject are typically obtained at only a few…

统计方法学 · 统计学 2024-11-14 Michio Yamamoto , Yoshikazu Terada

This paper considers $k$-means clustering in the presence of noise. It is known that $k$-means clustering is highly sensitive to noise, and thus noise should be removed to obtain a quality solution. A popular formulation of this problem is…

数据结构与算法 · 计算机科学 2020-04-14 Sungjin Im , Mahshid Montazer Qaem , Benjamin Moseley , Xiaorui Sun , Rudy Zhou

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

统计方法学 · 统计学 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

统计方法学 · 统计学 2021-10-20 Emily M. Goren , Ranjan Maitra

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

Both FCM and PCM clustering methods have been widely applied to pattern recognition and data clustering. Nevertheless, FCM is sensitive to noise and PCM occasionally generates coincident clusters. PFCM is an extension of the PCM model by…

基因组学 · 定量生物学 2021-11-25 Shahabeddin Sotudian , Mohammad Hossein Fazel Zarandi

Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

数据库 · 计算机科学 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

We consider the problem of clustering datasets in the presence of arbitrary outliers. Traditional clustering algorithms such as k-means and spectral clustering are known to perform poorly for datasets contaminated with even a small number…

机器学习 · 统计学 2021-02-02 Prateek R. Srivastava , Purnamrita Sarkar , Grani A. Hanasusanto

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

机器学习 · 统计学 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

In this paper we present a novel iterative multiphase clustering technique for efficiently clustering high dimensional data points. For this purpose we implement clustering feature (CF) tree on a real data set and a Gaussian density…

机器学习 · 计算机科学 2014-11-13 Chandrima Sarkar , Atanu Roy

Similarity-based approaches represent a promising direction for time series analysis. However, many such methods rely on parameter tuning, and some have shortcomings if the time series are multivariate (MTS), due to dependencies between…