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We propose a new model-independent method for new physics searches called Cluster Scanning. It uses the k-means algorithm to perform clustering in the space of low-level event or jet observables, and separates potentially anomalous clusters…

高能物理 - 唯象学 · 物理学 2024-05-22 Ivan Oleksiyuk , John Andrew Raine , Michael Krämer , Svyatoslav Voloshynovskiy , Tobias Golling

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

数据结构与算法 · 计算机科学 2018-05-15 Dorit S. Hochbaum

The $k$-means algorithm is one of the most widely used clustering heuristics. Despite its simplicity, analyzing its running time and quality of approximation is surprisingly difficult and can lead to deep insights that can be used to…

数据结构与算法 · 计算机科学 2016-02-29 Johannes Blömer , Christiane Lammersen , Melanie Schmidt , Christian Sohler

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

In this paper, the traditional k-modes clustering algorithm is extended by weighting attribute value matches in dissimilarity computation. The use of attribute value weighting technique makes it possible to generate clusters with stronger…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xaiofei Xu , Shengchun Deng

Spectral clustering has been one of the widely used methods for community detection in networks. However, large-scale networks bring computational challenges to the eigenvalue decomposition therein. In this paper, we study the spectral…

社会与信息网络 · 计算机科学 2022-01-07 Hai Zhang , Xiao Guo , Xiangyu Chang

Most convex and nonconvex clustering algorithms come with one crucial parameter: the $k$ in $k$-means. To this day, there is not one generally accepted way to accurately determine this parameter. Popular methods are simple yet theoretically…

机器学习 · 计算机科学 2021-08-04 Sibylle Hess , Wouter Duivesteijn

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

机器学习 · 统计学 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

We propose a spectral clustering method based on local principal components analysis (PCA). After performing local PCA in selected neighborhoods, the algorithm builds a nearest neighbor graph weighted according to a discrepancy between the…

机器学习 · 统计学 2019-04-09 Ery Arias-Castro , Gilad Lerman , Teng Zhang

Spectral clustering is a popular unsupervised learning technique which is able to partition unlabelled data into disjoint clusters of distinct shapes. However, the data under consideration are often experimental data, implying that the data…

机器学习 · 统计学 2025-05-26 Jürgen Dölz , Jolanda Weygandt

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…

机器学习 · 计算机科学 2020-10-08 Rabindra Lamsal , Shubham Katiyar

Clustering is one of the most fundamental tools in the artificial intelligence area, particularly in the pattern recognition and learning theory. In this paper, we propose a simple, but novel approach for variance-based k-clustering tasks,…

机器学习 · 计算机科学 2020-09-17 Yicheng Xu , Vincent Chau , Chenchen Wu , Yong Zhang , Vassilis Zissimopoulos , Yifei Zou

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

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

机器学习 · 统计学 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

We explore the utility of clustering in reducing error in various prediction tasks. Previous work has hinted at the improvement in prediction accuracy attributed to clustering algorithms if used to pre-process the data. In this work we more…

机器学习 · 计算机科学 2015-09-22 Shubhendu Trivedi , Zachary A. Pardos , Neil T. Heffernan

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

机器学习 · 计算机科学 2024-10-22 Andreas Lang , Erich Schubert

Recent spectral clustering methods are a propular and powerful technique for data clustering. These methods need to solve the eigenproblem whose computational complexity is $O(n^3)$, where $n$ is the number of data samples. In this paper, a…

机器学习 · 计算机科学 2007-11-26 Chunjing Xu , Jianzhuang Liu , Xiaoou Tang

The K-means algorithm is arguably the most popular data clustering method, commonly applied to processed datasets in some "feature spaces", as is in spectral clustering. Highly sensitive to initializations, however, K-means encounters a…

机器学习 · 计算机科学 2019-06-04 Feiyu Chen , Yuchen Yang , Liwei Xu , Taiping Zhang , Yin Zhang

Among many clustering algorithms, the K-means clustering algorithm is widely used because of its simple algorithm and fast convergence. However, this algorithm suffers from incomplete data, where some samples have missed some of their…

机器学习 · 计算机科学 2022-12-26 Ali Beikmohammadi

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

定量方法 · 定量生物学 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause