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Clustering non-Euclidean data is difficult, and one of the most used algorithms besides hierarchical clustering is the popular algorithm Partitioning Around Medoids (PAM), also simply referred to as k-medoids. In Euclidean geometry the…

机器学习 · 计算机科学 2024-07-08 Erich Schubert , Peter J. Rousseeuw

Partitioning Around Medoids (PAM, k-Medoids) is a popular clustering technique to use with arbitrary distance functions or similarities, where each cluster is represented by its most central object, called the medoid or the discrete median.…

机器学习 · 计算机科学 2023-09-07 Lars Lenssen , Erich Schubert

Clustering is a fundamental task in data science with wide-ranging applications. In $k$-medoids clustering, cluster centers must be actual datapoints and arbitrary distance metrics may be used; these features allow for greater…

机器学习 · 计算机科学 2023-10-31 Mo Tiwari , Ryan Kang , Donghyun Lee , Sebastian Thrun , Chris Piech , Ilan Shomorony , Martin Jinye Zhang

Unsupervised clustering has emerged as a critical tool for uncovering hidden patterns in vast, unlabeled datasets. However, traditional methods, such as Partitioning Around Medoids (PAM), struggle with scalability owing to their quadratic…

机器学习 · 计算机科学 2025-06-03 Huang Chenan , Narumasa Tsutsumida

With the rapid development in mobile network effective network planning tool is needed to satisfy the need of customers. However, deciding upon the optimum placement for the base stations (BS) to achieve best services while reducing the…

网络与互联网体系结构 · 计算机科学 2015-07-19 Lamiaa Fattouh Ibrahim , Manal El Harby

Every cellular network deployment requires planning and optimization in order to provide adequate coverage, capacity, and quality of service (QoS). Optimization mobile radio network planning is a very complex task, as many aspects must be…

人工智能 · 计算机科学 2013-02-28 Lamiaa Fattouh Ibrahim , Manal Hamed Al Harbi

The evaluation of clustering results is difficult, highly dependent on the evaluated data set and the perspective of the beholder. There are many different clustering quality measures, which try to provide a general measure to validate…

机器学习 · 计算机科学 2022-09-27 Lars Lenssen , Erich Schubert

The evaluation of clustering results is difficult, highly dependent on the evaluated data set and the perspective of the beholder. There are many different clustering quality measures, which try to provide a general measure to validate…

机器学习 · 计算机科学 2023-10-17 Lars Lenssen , Erich Schubert

k-medoids algorithm is a partitional, centroid-based clustering algorithm which uses pairwise distances of data points and tries to directly decompose the dataset with $n$ points into a set of $k$ disjoint clusters. However, k-medoids…

机器学习 · 计算机科学 2015-12-15 Mehrdad Ghadiri , Amin Aghaee , Mahdieh Soleymani Baghshah

K-Medoids(KM) is a standard clustering method, used extensively on semi-metric data.Error analyses of KM have traditionally used an in-sample notion of error,which can be far from the true error and suffer from generalization gap. We…

机器学习 · 计算机科学 2019-10-31 Aravindakshan Babu , Saurabh Agarwal , Sudarshan Babu , Hariharan Chandrasekaran

$k$-center is one of the most popular clustering models. While it admits a simple 2-approximation in polynomial time in general metrics, the Euclidean version is NP-hard to approximate within a factor of 1.93, even in the plane, if one…

数据结构与算法 · 计算机科学 2021-12-21 Sayan Bandyapadhyay , Zachary Friggstad , Ramin Mousavi

We consider the problem of clustering in the learning-augmented setting, where we are given a data set in $d$-dimensional Euclidean space, and a label for each data point given by an oracle indicating what subsets of points should be…

机器学习 · 计算机科学 2023-03-02 Thy Nguyen , Anamay Chaturvedi , Huy Lê Nguyen

K-means plays a vital role in data mining and is the simplest and most widely used algorithm under the Euclidean Minimum Sum-of-Squares Clustering (MSSC) model. However, its performance drastically drops when applied to vast amounts of…

机器学习 · 计算机科学 2023-11-27 Rustam Mussabayev , Nenad Mladenovic , Bassem Jarboui , Ravil Mussabayev

The K-Means clustering using LLoyd's algorithm is an iterative approach to partition the given dataset into K different clusters. The algorithm assigns each point to the cluster based on the following objective function \[\ \min…

分布式、并行与集群计算 · 计算机科学 2024-05-21 Ashish Srivastava , Mohammed Nawfal

This paper proposes a novel k-medoids approximation algorithm to handle large-scale datasets with reasonable computational time and memory complexity. We develop a local-search algorithm that iteratively improves the medoid selection based…

Sequence clustering in a streaming environment is challenging because it is computationally expensive, and the sequences may evolve over time. K-medoids or Partitioning Around Medoids (PAM) is commonly used to cluster sequences since it…

机器学习 · 计算机科学 2022-06-27 Azqa Nadeem , Sicco Verwer

k-means has recently been recognized as one of the best algorithms for clustering unsupervised data. Since k-means depends mainly on distance calculation between all data points and the centers, the time cost will be high when the size of…

数据结构与算法 · 计算机科学 2011-08-08 Raied Salman , Vojislav Kecman , Qi Li , Robert Strack , Erik Test

$K$-means, a simple and effective clustering algorithm, is one of the most widely used algorithms in multimedia and computer vision community. Traditional $k$-means is an iterative algorithm---in each iteration new cluster centers are…

计算机视觉与模式识别 · 计算机科学 2013-12-12 Jingdong Wang , Jing Wang , Qifa Ke , Gang Zeng , Shipeng Li

In addition to finding meaningful clusters, centroid-based clustering algorithms such as K-means or mean-shift should ideally find centroids that are valid patterns in the input space, representative of data in their cluster. This is…

机器学习 · 计算机科学 2014-06-17 Weiran Wang , Miguel Á. Carreira-Perpiñán

This paper considers the well-studied algorithmic regime of designing a $(1+\epsilon)$-approximation algorithm for a $k$-clustering problem that runs in time $f(k,\epsilon)poly(n)$ (sometimes called an efficient parameterized approximation…

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