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In this paper we provide a fully distributed implementation of the k-means clustering algorithm, intended for wireless sensor networks where each agent is endowed with a possibly high-dimensional observation (e.g., position, humidity,…

机器学习 · 计算机科学 2014-11-11 Gabriele Oliva , Roberto Setola , Christoforos N. Hadjicostis

Energy load balancing is an essential issue in designing wireless sensor networks (WSNs). Clustering techniques are utilized as energy-efficient methods to balance the network energy and prolong its lifetime. In this paper, we propose an…

系统与控制 · 电气工程与系统科学 2024-03-26 Botao Zhu , Ebrahim Bedeer , Ha H. Nguyen , Robert Barton , Jerome Henry

The classical $k$-means algorithm for partitioning $n$ points in $\mathbb{R}^d$ into $k$ clusters is one of the most popular and widely spread clustering methods. The need to respect prescribed lower bounds on the cluster sizes has been…

最优化与控制 · 数学 2016-08-04 Steffen Borgwardt , Andreas Brieden , Peter Gritzmann

Existing approaches remain largely constrained by traditional distance metrics, limiting their effectiveness in handling random data. In this work, we introduce the first k-means variant in the literature that operates within a…

K-means defines one of the most employed centroid-based clustering algorithms with performances tied to the data's embedding. Intricate data embeddings have been designed to push $K$-means performances at the cost of reduced theoretical…

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

机器学习 · 统计学 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

$k$-means algorithm is one of the most classical clustering methods, which has been widely and successfully used in signal processing. However, due to the thin-tailed property of the Gaussian distribution, $k$-means algorithm suffers from…

机器学习 · 计算机科学 2021-02-02 Yiming Li , Yang Zhang , Qingtao Tang , Weipeng Huang , Yong Jiang , Shu-Tao Xia

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

统计方法学 · 统计学 2022-01-19 Luca Insolia , Domenico Perrotta

Data clustering is a process of arranging similar data into groups. A clustering algorithm partitions a data set into several groups such that the similarity within a group is better than among groups. In this paper a hybrid clustering…

数据库 · 计算机科学 2012-05-25 Ravindra Jain

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

Federated clustering, an integral aspect of federated machine learning, enables multiple data sources to collaboratively cluster their data, maintaining decentralization and preserving privacy. In this paper, we introduce a novel federated…

机器学习 · 计算机科学 2023-11-20 Patrick Holzer , Tania Jacob , Shubham Kavane

K-means is an effective clustering technique used to separate similar data into groups based on initial centroids of clusters. In this paper, Normalization based K-means clustering algorithm(N-K means) is proposed. Proposed N-K means…

机器学习 · 计算机科学 2015-03-04 Deepali Virmani , Shweta Taneja , Geetika Malhotra

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

Coresets are compact representations of data sets such that models trained on a coreset are provably competitive with models trained on the full data set. As such, they have been successfully used to scale up clustering models to massive…

机器学习 · 统计学 2018-06-08 Olivier Bachem , Mario Lucic , Andreas Krause

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 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

K-means clustering, a classic and widely-used clustering technique, is known to exhibit suboptimal performance when applied to non-linearly separable data. Numerous adjustments and modifications have been proposed to address this issue,…

统计方法学 · 统计学 2026-04-07 Zhili Qiao , Wangqian Ju , Peng Liu

K-means clustering is a workhorse of unsupervised learning, but it is notoriously brittle to outliers, distribution shifts, and limited sample sizes. Viewing k-means as Lloyd--Max quantization of the empirical distribution, we develop a…

机器学习 · 计算机科学 2026-04-14 Vikrant Malik , Taylan Kargin , Babak Hassibi

This paper presents an algorithm to solve the Soft k-Means problem globally. Unlike Fuzzy c-Means, Soft k-Means (SkM) has a matrix factorization-type objective and has been shown to have a close relation with the popular probability…

机器学习 · 计算机科学 2022-12-08 Feiping Nie , Hong Chen , Rong Wang , Xuelong Li

We consider a network of binary-valued sensors with a fusion center. The fusion center has to perform K-means clustering on the binary data transmitted by the sensors. In order to reduce the amount of data transmitted within the network,…

信息论 · 计算机科学 2018-01-18 Elsa Dupraz
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