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The Minkowski weighted $k$-means ($mwk$-means) algorithm extends classical $k$-means by incorporating feature weights and a Minkowski distance. We first show that the $mwk$-means objective can be expressed as a power-mean aggregation of…

机器学习 · 计算机科学 2026-05-22 Renato Cordeiro de Amorim , Vladimir Makarenkov

The K-means algorithm is among the most commonly used data clustering methods. However, the regular K-means can only be applied in the input space and it is applicable when clusters are linearly separable. The kernel K-means, which extends…

机器学习 · 计算机科学 2020-12-08 Amir Aradnia , Maryam Amir Haeri , Mohammad Mehdi Ebadzadeh

This paper presents a new fuzzy k-means algorithm for the clustering of high-dimensional data in various subspaces. Since high-dimensional data, some features might be irrelevant and relevant but may have different significance in the…

机器学习 · 计算机科学 2025-02-14 Vikas Singh , Nishchal K. Verma

Feature selection is important for high-dimensional data analysis and is non-trivial in unsupervised learning problems such as dimensionality reduction and clustering. The goal of unsupervised feature selection is finding a subset of…

机器学习 · 计算机科学 2024-11-26 Ziheng Sun , Chris Ding , Jicong Fan

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

机器学习 · 统计学 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

We employ unsupervised machine learning to enhance the accuracy of our recently presented scaling method for wave confinement analysis [1]. We employ the standard k-means++ algorithm as well as our own model-based algorithm. We investigate…

We propose the Lasso Weighted $k$-means ($LW$-$k$-means) algorithm as a simple yet efficient sparse clustering procedure for high-dimensional data where the number of features ($p$) can be much larger compared to the number of observations…

机器学习 · 统计学 2019-03-26 Saptarshi Chakraborty , Swagatam Das

We consider the problem of data clustering with unidentified feature quality and when a small amount of labelled data is provided. An unsupervised sparse clustering method can be employed in order to detect the subgroup of features…

机器学习 · 计算机科学 2020-10-20 Avgoustinos Vouros , Eleni Vasilaki

Feature selection (FS) is a process which attempts to select more informative features. In some cases, too many redundant or irrelevant features may overpower main features for classification. Feature selection can remedy this problem and…

机器学习 · 计算机科学 2013-06-07 A. Nisthana Parveen , H. Hannah Inbarani , E. N. Sathishkumar

As an effective data preprocessing step, feature selection has shown its effectiveness to prepare high-dimensional data for many machine learning tasks. The proliferation of high di-mension and huge volume big data, however, has brought…

机器学习 · 计算机科学 2019-03-01 Ning Gui , Danni Ge , Ziyin Hu

Clustering algorithms often assume all features contribute equally to the data structure, an assumption that usually fails in high-dimensional or noisy settings. Feature weighting methods can address this, but most require additional…

机器学习 · 计算机科学 2025-08-12 Richard J. Fawley , Renato Cordeiro de Amorim

In a real-world data set there is always the possibility, rather high in our opinion, that different features may have different degrees of relevance. Most machine learning algorithms deal with this fact by either selecting or deselecting…

机器学习 · 计算机科学 2016-01-15 Renato Cordeiro de Amorim

Traditionally, practitioners initialize the {\tt k-means} algorithm with centers chosen uniformly at random. Randomized initialization with uneven weights ({\tt k-means++}) has recently been used to improve the performance over this…

机器学习 · 统计学 2016-02-02 Jordan Yoder , Carey E. Priebe

Mean shift is a simple interactive procedure that gradually shifts data points towards the mode which denotes the highest density of data points in the region. Mean shift algorithms have been effectively used for data denoising, mode…

机器学习 · 计算机科学 2021-05-11 Saptarshi Chakraborty , Debolina Paul , Swagatam Das

Feature selection prepares the AI-readiness of data by eliminating redundant features. Prior research falls into two primary categories: i) Supervised Feature Selection, which identifies the optimal feature subset based on their relevance…

机器学习 · 计算机科学 2024-03-08 Xinyuan Wang , Dongjie Wang , Wangyang Ying , Rui Xie , Haifeng Chen , Yanjie Fu

We study the topic of dimensionality reduction for $k$-means clustering. Dimensionality reduction encompasses the union of two approaches: \emph{feature selection} and \emph{feature extraction}. A feature selection based algorithm for…

数据结构与算法 · 计算机科学 2015-03-19 Christos Boutsidis , Anastasios Zouzias , Michael W. Mahoney , Petros Drineas

One of the applications of center-based clustering algorithms such as K-Means is partitioning data points into K clusters. In some examples, the feature space relates to the underlying problem we are trying to solve, and sometimes we can…

机器学习 · 计算机科学 2020-09-23 Ali Hassani , Amir Iranmanesh , Mahdi Eftekhari , Abbas Salemi

The $k$-means algorithm is a prevalent clustering method due to its simplicity, effectiveness, and speed. However, its main disadvantage is its high sensitivity to the initial positions of the cluster centers. The global $k$-means is a…

机器学习 · 计算机科学 2023-07-17 Georgios Vardakas , Aristidis Likas

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

Multi-view unsupervised feature selection has been proven to be efficient in reducing the dimensionality of multi-view unlabeled data with high dimensions. The previous methods assume all of the views are complete. However, in real…

机器学习 · 计算机科学 2023-01-02 Yanyong Huang , Kejun Guo , Xiuwen Yi , Zhong Li , Tianrui Li
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