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Retrieval-augmented generation (RAG) has achieved significant success in information retrieval to assist large language models LLMs because it builds an external knowledge database. However, it also has many problems, it consumes a lot of…

信息检索 · 计算机科学 2025-05-16 Haoyu Kang , Yuzhou Zhu , Yukun Zhong , Ke Wang

This paper gives a k-means approximation algorithm that is efficient in the relational algorithms model. This is an algorithm that operates directly on a relational database without performing a join to convert it to a matrix whose rows…

数据结构与算法 · 计算机科学 2021-05-24 Benjamin Moseley , Kirk Pruhs , Alireza Samadian , Yuyan Wang

This work presents a novel variant of the Firefly Algorithm (FA) for data clustering, addressing limitations of traditional methods like K-Means that struggle with non-uniform cluster shapes, densities, and the need for pre-defining the…

人工智能 · 计算机科学 2026-05-19 MKA Ariyaratne , Azwirman Gusrialdi , Yury Nikulin , Jaakko Peltonen

This paper presents Constrained Centroid Clustering (CCC), a method that extends classical centroid-based clustering by enforcing a constraint on the maximum distance between the cluster center and the farthest point in the cluster. Using a…

机器学习 · 计算机科学 2025-08-19 Sowmini Devi Veeramachaneni , Ramamurthy Garimella

As the size $n$ of datasets become massive, many commonly-used clustering algorithms (for example, $k$-means or hierarchical agglomerative clustering (HAC) require prohibitive computational cost and memory. In this paper, we propose a…

In many situations where the interest lies in identifying clusters one might expect that not all available variables carry information about these groups. Furthermore, data quality (e.g. outliers or missing entries) might present a serious…

机器学习 · 统计学 2012-01-31 Yumi Kondo , Matias Salibian-Barrera , Ruben Zamar

Consensus clustering seeks to combine multiple clusterings of the same dataset, potentially derived by considering various non-sensitive attributes by different agents in a multi-agent environment, into a single partitioning that best…

机器学习 · 计算机科学 2026-02-13 Diptarka Chakraborty , Kushagra Chatterjee , Debarati Das , Tien-Long Nguyen

The purpose of this paper is to improve the traditional K-means algorithm. In the traditional K mean clustering algorithm, the initial clustering centers are generated randomly in the data set. It is easy to fall into the local minimum…

机器学习 · 计算机科学 2018-10-11 Su Chang , Xu Zhenzong , Gao Xuan

Clustering approaches that utilize convex loss functions have recently attracted growing interest in the formation of compact data clusters. Although classical methods like k-means and its wide family of variants are still widely used, all…

Among all the partition based clustering algorithms K-means is the most popular and well known method. It generally shows impressive results even in considerably large data sets. The computational complexity of K-means does not suffer from…

机器学习 · 计算机科学 2009-12-22 Samarjeet Borah , Mrinal Kanti Ghose

We define the notion of a well-clusterable data set combining the point of view of the objective of $k$-means clustering algorithm (minimising the centric spread of data elements) and common sense (clusters shall be separated by gaps). We…

机器学习 · 计算机科学 2020-04-07 Mieczysław A. Kłopotek

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

最优化与控制 · 数学 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2021-01-11 Hongjing Zhang , Tianyang Zhan , Sugato Basu , Ian Davidson

Although numerous clustering algorithms have been developed, many existing methods still leverage k-means technique to detect clusters of data points. However, the performance of k-means heavily depends on the estimation of centers of…

机器学习 · 计算机科学 2023-05-15 Quanxue Gao , Qianqian Wang , Han Lu , Wei Xia , Xinbo Gao

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2019-12-20 Hongjing Zhang , Sugato Basu , Ian Davidson

Clustering techniques play an important role in data mining and its related applications. Among the challenging applications that require robust and real-time processing are crowd management and group trajectory applications. In this paper,…

计算机视觉与模式识别 · 计算机科学 2016-08-03 Yasser Mohammad Seddiq , A. A. Alharbiy , Moayyad Hamza Ghunaim

The original k-means clustering method works only if the exact vectors representing the data points are known. Therefore calculating the distances from the centroids needs vector operations, since the average of abstract data points is…

机器学习 · 计算机科学 2013-03-26 Balázs Szalkai

Clustering analysis plays an important role in scientific research and commercial application. K-means algorithm is a widely used partition method in clustering. However, it is known that the K-means algorithm may get stuck at suboptimal…

神经与进化计算 · 计算机科学 2014-05-26 M. H. Marghny , Rasha M. Abd El-Aziz , Ahmed I. Taloba

In sensor networks, it is not always practical to set up a fusion center. Therefore, there is need for fully decentralized clustering algorithms. Decentralized clustering algorithms should minimize the amount of data exchanged between…

机器学习 · 统计学 2018-07-13 Elsa Dupraz , Dominique Pastor , François-Xavier Socheleau

Capacitated fair-range $k$-clustering generalizes classical $k$-clustering by incorporating both capacity constraints and demographic fairness. In this setting, each facility has a capacity limit and may belong to one or more demographic…

数据结构与算法 · 计算机科学 2025-05-23 Ameet Gadekar , Suhas Thejaswi