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We study the problem of $k$-center clustering with outliers in arbitrary metrics and Euclidean space. Though a number of methods have been developed in the past decades, it is still quite challenging to design quality guaranteed algorithm…

Computational Geometry · Computer Science 2019-04-30 Hu Ding , Haikuo Yu , Zixiu Wang

We consider $K$-means clustering in networked environments (e.g., internet of things (IoT) and sensor networks) where data is inherently distributed across nodes and processing power at each node may be limited. We consider a clustering…

Machine Learning · Computer Science 2019-01-03 Soummya Kar , Brian Swenson

Using a recently described technique for manipulating the clustering coefficient of a network without changing its degree distribution, we examine the effect of clustering on the synchronization of phase oscillators on networks with Poisson…

Disordered Systems and Neural Networks · Physics 2009-11-11 Patrick N. McGraw , Michael Menzinger

Deep clustering has exhibited remarkable performance; however, the over confidence problem, i.e., the estimated confidence for a sample belonging to a particular cluster greatly exceeds its actual prediction accuracy, has been over looked…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Yuheng Jia , Jianhong Cheng , Hui Liu , Junhui Hou

This paper proposes a centroid-based clustering algorithm which is capable of clustering data-points with n-features, without having to specify the number of clusters to be formed. The core logic behind the algorithm is a similarity…

Machine Learning · Computer Science 2020-10-08 Rabindra Lamsal , Shubham Katiyar

Clustering and prediction are two primary tasks in the fields of unsupervised and supervised learning, respectively. Although much of the recent advances in machine learning have been centered around those two tasks, the interdependent,…

Machine Learning · Computer Science 2020-06-17 Yifeng Shi , Christopher M. Bender , Junier B. Oliva , Marc Niethammer

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

Databases · Computer Science 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti

We study k-median clustering under the sequential no-substitution setting. In this setting, a data stream is sequentially observed, and some of the points are selected by the algorithm as cluster centers. However, a point can be selected as…

Machine Learning · Computer Science 2022-04-14 Tom Hess , Michal Moshkovitz , Sivan Sabato

Adaptive gradient methods including Adam, AdaGrad, and their variants have been very successful for training deep learning models, such as neural networks. Meanwhile, given the need for distributed computing, distributed optimization…

Machine Learning · Computer Science 2021-09-08 Xiangyi Chen , Belhal Karimi , Weijie Zhao , Ping Li

This paper investigates the privacy-preserving distributed optimization problem, aiming to protect agents' private information from potential attackers during the optimization process. Gradient tracking, an advanced technique for improving…

Machine Learning · Computer Science 2025-09-24 Furan Xie , Bing Liu , Li Chai

This paper presents a novel method for clustering surfaces. The proposal involves first using basis functions in a tensor product to smooth the data and thus reduce the dimension to a finite number of coefficients, and then using these…

Methodology · Statistics 2021-02-04 Adriano Zanin Zambom , Qing Wang , Ronaldo Dias

Metric $k$-center clustering is a fundamental unsupervised learning primitive. Although widely used, this primitive is heavily affected by noise in the data, so that a more sensible variant seeks for the best solution that disregards a…

Machine Learning · Computer Science 2022-02-28 Paolo Pellizzoni , Andrea Pietracaprina , Geppino Pucci

Constrained clustering has gained significant attention in the field of machine learning as it can leverage prior information on a growing amount of only partially labeled data. Following recent advances in deep generative models, we…

Machine Learning · Computer Science 2022-02-02 Laura Manduchi , Kieran Chin-Cheong , Holger Michel , Sven Wellmann , Julia E. Vogt

Facilitated by the powerful feature extraction ability of neural networks, deep clustering has achieved great success in analyzing high-dimensional and complex real-world data. The performance of deep clustering methods is affected by…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Yiding Lu , Haobin Li , Yunfan Li , Yijie Lin , Xi Peng

Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

Methodology · Statistics 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

Methodology · Statistics 2014-07-11 Eric Bair

We propose a new approach -- called PK-clustering -- to help social scientists create meaningful clusters in social networks. Many clustering algorithms exist but most social scientists find them difficult to understand, and tools do not…

Human-Computer Interaction · Computer Science 2021-05-18 Alexis Pister , Paolo Buono , Jean-Daniel Fekete , Catherine Plaisant , Paola Valdivia

Federated clustering, an essential extension of centralized clustering for federated scenarios, enables multiple data-holding clients to collaboratively group data while keeping their data locally. In centralized scenarios, clustering…

Machine Learning · Computer Science 2025-06-03 Jing Liu , Jie Yan , Zhong-Yuan Zhang

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

Machine Learning · Computer Science 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

The problem of automatically clustering data is an age old problem. People have created numerous algorithms to tackle this problem. The execution time of any of this algorithm grows with the number of input points and the number of cluster…

Machine Learning · Computer Science 2014-12-08 Aditya AV Sastry , Kalyan Netti
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