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相关论文: Query Lower Bounds for Correlation Clustering unde…

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Several clustering frameworks with interactive (semi-supervised) queries have been studied in the past. Recently, clustering with same-cluster queries has become popular. An algorithm in this setting has access to an oracle with full…

数据结构与算法 · 计算机科学 2019-08-15 Barna Saha , Sanjay Subramanian

In machine learning, correlation clustering is an important problem whose goal is to partition the individuals into groups that correlate with their pairwise similarities as much as possible. In this work, we revisit the correlation…

机器学习 · 计算机科学 2022-02-23 Daogao Liu

Correlation clustering provides a method for separating the vertices of a signed graph into the optimum number of clusters without specifying that number in advance. The main goal in this type of clustering is to minimize the number of…

组合数学 · 数学 2025-07-15 Leila Parsaei-Majd

In this paper we study the problem of correlation clustering under fairness constraints. In the classic correlation clustering problem, we are given a complete graph where each edge is labeled positive or negative. The goal is to obtain a…

数据结构与算法 · 计算机科学 2020-02-11 Saba Ahmadi , Sainyam Galhotra , Barna Saha , Roy Schwartz

Correlation Clustering is an elegant model that captures fundamental graph cut problems such as Min $s-t$ Cut, Multiway Cut, and Multicut, extensively studied in combinatorial optimization. Here, we are given a graph with edges labeled $+$…

数据结构与算法 · 计算机科学 2017-04-04 Moses Charikar , Neha Gupta , Roy Schwartz

Correlation clustering is arguably the most natural formulation of clustering. Given n objects and a pairwise similarity measure, the goal is to cluster the objects so that, to the best possible extent, similar objects are put in the same…

数据结构与算法 · 计算机科学 2020-02-27 David García-Soriano , Konstantin Kutzkov , Francesco Bonchi , Charalampos Tsourakakis

Correlation clustering is a central problem in unsupervised learning, with applications spanning community detection, duplicate detection, automated labelling and many more. In the correlation clustering problem one receives as input a set…

In correlation clustering, we are given $n$ objects together with a binary similarity score between each pair of them. The goal is to partition the objects into clusters so to minimise the disagreements with the scores. In this work we…

机器学习 · 计算机科学 2020-01-15 Marco Bressan , Nicolò Cesa-Bianchi , Andrea Paudice , Fabio Vitale

Correlation clustering is a central topic in unsupervised learning, with many applications in ML and data mining. In correlation clustering, one receives as input a signed graph and the goal is to partition it to minimize the number of…

数据结构与算法 · 计算机科学 2021-06-17 Vincent Cohen-Addad , Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Nikos Parotsidis , Jakub Tarnawski

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

数据分析、统计与概率 · 物理学 2009-09-29 Hristo Djidjev

The Correlation Clustering problem is one of the most extensively studied clustering formulations due to its wide applications in machine learning, data mining, computational biology and other areas. We consider the Correlation Clustering…

数据结构与算法 · 计算机科学 2025-03-04 Jianqi Zhou , Zhongyi Zhang , Jiong Guo

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

数据结构与算法 · 计算机科学 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

Correlation Clustering is a powerful graph partitioning model that aims to cluster items based on the notion of similarity between items. An instance of the Correlation Clustering problem consists of a graph $G$ (not necessarily complete)…

数据结构与算法 · 计算机科学 2019-06-25 Sanchit Kalhan , Konstantin Makarychev , Timothy Zhou

Identifying clusters of similar elements in a set is a common task in data analysis. With the immense growth of data and physical limitations on single processor speed, it is necessary to find efficient parallel algorithms for clustering…

分布式、并行与集群计算 · 计算机科学 2021-08-09 Mélanie Cambus , Davin Choo , Havu Miikonen , Jara Uitto

The higher-order correlation clustering problem for a graph $G$ and costs associated with cliques of $G$ consists in finding a clustering of $G$ so as to minimize the sum of the costs of those cliques whose nodes all belong to the same…

离散数学 · 计算机科学 2025-10-24 David Stein , Bjoern Andres , Silvia Di Gregorio

Motivated by applications in social and biological network analysis, we introduce a new form of agnostic clustering termed~\emph{motif correlation clustering}, which aims to minimize the cost of clustering errors associated with both edges…

数据结构与算法 · 计算机科学 2018-11-07 Pan Li , Gregory J. Puleo , Olgica Milenkovic

Correlation clustering is a fundamental combinatorial optimization problem arising in many contexts and applications that has been the subject of dozens of papers in the literature. In this problem we are given a general weighted graph…

数据结构与算法 · 计算机科学 2019-07-02 Saba Ahmadi , Sainyam Galhotra , Samir Khuller , Barna Saha , Roy Schwartz

In this paper, we study correlation clustering under fairness constraints. Fair variants of $k$-median and $k$-center clustering have been studied recently, and approximation algorithms using a notion called fairlet decomposition have been…

数据结构与算法 · 计算机科学 2020-03-04 Sara Ahmadian , Alessandro Epasto , Ravi Kumar , Mohammad Mahdian

Finding a good clustering of vertices in a network, where vertices in the same cluster are more tightly connected than those in different clusters, is a useful, important, and well-studied task. Many clustering algorithms scale well,…

社会与信息网络 · 计算机科学 2011-10-18 Thomas DuBois , Jennifer Golbeck , Aravind Srinivasan

We consider the problem of correlation clustering on graphs with constraints on both the cluster sizes and the positive and negative weights of edges. Our contributions are twofold: First, we introduce the problem of correlation clustering…

机器学习 · 计算机科学 2015-05-25 Gregory J. Puleo , Olgica Milenkovic
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