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As a model problem for clustering, we consider the densest k-disjoint-clique problem of partitioning a weighted complete graph into k disjoint subgraphs such that the sum of the densities of these subgraphs is maximized. We establish that…

最优化与控制 · 数学 2019-02-18 Aleksis Pirinen , Brendan Ames

We give a simple, local process for nodes in an undirected graph to form non-adjacent clusters that (1) have at most a polylogarithmic diameter and (2) contain at least half of all vertices. Efficient deterministic distributed clustering…

数据结构与算法 · 计算机科学 2022-10-24 Václav Rozhoň , Bernhard Haeupler , Christoph Grunau

Clustering is a data analysis method for extracting knowledge by discovering groups of data called clusters. Among these methods, state-of-the-art density-based clustering methods have proven to be effective for arbitrary-shaped clusters.…

机器学习 · 计算机科学 2023-10-26 Nabil El Malki , Robin Cugny , Olivier Teste , Franck Ravat

The data stream model has been defined for new classes of applications involving massive data being generated at a fast pace. Web click stream analysis and detection of network intrusions are two examples. Cluster analysis on data streams…

数据库 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng , Joshua Zhexue Huang

Node clustering is a powerful tool in the analysis of networks. We introduce a graph neural network framework, named DIGRAC, to obtain node embeddings for directed networks in a self-supervised manner, including a novel probabilistic…

机器学习 · 统计学 2022-11-30 Yixuan He , Gesine Reinert , Mihai Cucuringu

This paper proposes a simple but effective graph-based agglomerative algorithm, for clustering high-dimensional data. We explore the different roles of two fundamental concepts in graph theory, indegree and outdegree, in the context of…

计算机视觉与模式识别 · 计算机科学 2015-03-20 Wei Zhang , Xiaogang Wang , Deli Zhao , Xiaoou Tang

Clustering is the task of gathering similar data samples into clusters without using any predefined labels. It has been widely studied in machine learning literature, and recent advancements in deep learning have revived interest in this…

机器学习 · 计算机科学 2023-09-04 Mohammadreza Sadeghi , Hadi Hojjati , Narges Armanfard

Load shapes derived from smart meter data are frequently employed to analyze daily energy consumption patterns, particularly in the context of applications like Demand Response (DR). Nevertheless, one of the most important challenges to…

Bayesian models offer great flexibility for clustering applications---Bayesian nonparametrics can be used for modeling infinite mixtures, and hierarchical Bayesian models can be utilized for sharing clusters across multiple data sets. For…

机器学习 · 计算机科学 2012-06-15 Brian Kulis , Michael I. Jordan

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

社会与信息网络 · 计算机科学 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

Given a large unlabeled set of images, how to efficiently and effectively group them into clusters based on extracted visual representations remains a challenging problem. To address this problem, we propose a convolutional neural network…

计算机视觉与模式识别 · 计算机科学 2017-08-14 Chih-Chung Hsu , Chia-Wen Lin

Clustering algorithms are among the most widely used data mining methods due to their exploratory power and being an initial preprocessing step that paves the way for other techniques. But the problem of calculating the optimal number of…

机器学习 · 计算机科学 2023-10-03 Md Nishat Raihan

A limitation of many clustering algorithms is the requirement to tune adjustable parameters for each application or even for each dataset. Some techniques require an \emph{a priori} estimate of the number of clusters while density-based…

统计方法学 · 统计学 2016-05-20 Jeremy F. Magland , Alex H. Barnett

The problem of finding groups in data (cluster analysis) has been extensively studied by researchers from the fields of Statistics and Computer Science, among others. However, despite its popularity it is widely recognized that the…

统计理论 · 数学 2013-10-10 José E. Chacón

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

Spectral clustering is one of the most popular methods for community detection in graphs. A key step in spectral clustering algorithms is the eigen decomposition of the $n{\times}n$ graph Laplacian matrix to extract its $k$ leading…

机器学习 · 统计学 2018-09-10 Muni Sreenivas Pydi , Ambedkar Dukkipati

We propose DSC-Flow-Iter, a new community detection algorithm that is based on iterative extraction of dense subgraphs. Although DSC-Flow-Iter leaves many nodes unclustered, it is competitive with leading methods and has high-precision and…

社会与信息网络 · 计算机科学 2025-09-03 The-Anh Vu-Le , João Alfredo Cardoso Lamy , Tomás Alessi , Ian Chen , Minhyuk Park , Elfarouk Harb , George Chacko , Tandy Warnow

This paper presents a novel algorithm, based upon the dependent Dirichlet process mixture model (DDPMM), for clustering batch-sequential data containing an unknown number of evolving clusters. The algorithm is derived via a low-variance…

机器学习 · 计算机科学 2013-11-04 Trevor Campbell , Miao Liu , Brian Kulis , Jonathan P. How , Lawrence Carin

Here, we propose a clustering technique for general clustering problems including those that have non-convex clusters. For a given desired number of clusters $K$, we use three stages to find a clustering. The first stage uses a hybrid…

机器学习 · 统计学 2015-03-09 Saeid Amiri , Bertrand Clarke , Jennifer Clarke , Hoyt A. Koepke

Graph clustering problems typically aim to partition the graph nodes such that two nodes belong to the same partition set if and only if they are similar. Correlation Clustering is a graph clustering formulation which: (1) takes as input a…

社会与信息网络 · 计算机科学 2021-10-19 Jimit Majmudar , Stephen Vavasis
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