English
Related papers

Related papers: Correlation Clustering Beyond the Pivot Algorithm

200 papers

We study maximum matchings in fully dynamic graphs, which are graphs that undergo both edge insertions and deletions. Our focus is on algorithms that estimate the size of maximum matching after each update while spending a small time. An…

Data Structures and Algorithms · Computer Science 2023-07-19 Amir Azarmehr , Soheil Behnezhad , Mohammad Roghani

We study the problem of dynamically maintaining the connected components of an undirected graph subject to edge insertions and deletions. We give the first parallel algorithm for the problem which is work-efficient, supports batches of…

Data Structures and Algorithms · Computer Science 2024-11-19 Quinten De Man , Laxman Dhulipala , Adam Karczmarz , Jakub Łącki , Julian Shun , Zhongqi Wang

Supervised classification can be effective for prediction but sometimes weak on interpretability or explainability (XAI). Clustering, on the other hand, tends to isolate categories or profiles that can be meaningful but there is no…

Machine Learning · Computer Science 2021-04-27 Vincent Lemaire , Oumaima Alaoui Ismaili , Antoine Cornuéjols , Dominique Gay

Clustering algorithms have significantly improved along with Deep Neural Networks which provide effective representation of data. Existing methods are built upon deep autoencoder and self-training process that leverages the distribution of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Xin Ma , Won Hwa Kim

Cluster Editing, also known as Correlation Clustering, is a well-studied graph modification problem. In this problem, one is given a graph and the task is to perform up to $k$ edge additions or deletions to transform it into a cluster…

Given a similarity graph between items, correlation clustering (CC) groups similar items together and dissimilar ones apart. One of the most popular CC algorithms is KwikCluster: an algorithm that serially clusters neighborhoods of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Xinghao Pan , Dimitris Papailiopoulos , Samet Oymak , Benjamin Recht , Kannan Ramchandran , Michael I. Jordan

Clustering in stationary and nonstationary settings, where data distributions remain static or evolve over time, requires models that can adapt to distributional shifts while preserving previously learned cluster structures. This paper…

Machine Learning · Computer Science 2025-12-09 Naoki Masuyama , Yuichiro Toda , Yusuke Nojima , Hisao Ishibuchi

The Problem-oriented AutoML in Clustering (PoAC) framework introduces a novel, flexible approach to automating clustering tasks by addressing the shortcomings of traditional AutoML solutions. Conventional methods often rely on predefined…

Machine Learning · Computer Science 2024-09-25 Matheus Camilo da Silva , Gabriel Marques Tavares , Eric Medvet , Sylvio Barbon Junior

Consensus clustering, a fundamental task in machine learning and data analysis, aims to aggregate multiple input clusterings of a dataset, potentially based on different non-sensitive attributes, into a single clustering that best…

Machine Learning · Computer Science 2025-06-18 Diptarka Chakraborty , Kushagra Chatterjee , Debarati Das , Tien Long Nguyen , Romina Nobahari

Given an underlying graph, we consider the following \emph{dynamics}: Initially, each node locally chooses a value in $\{-1,1\}$, uniformly at random and independently of other nodes. Then, in each consecutive round, every node updates its…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-26 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Luca Trevisan

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…

Data Structures and Algorithms · Computer Science 2020-03-04 Sara Ahmadian , Alessandro Epasto , Ravi Kumar , Mohammad Mahdian

Clustering aims to form groups of similar data points in an unsupervised regime. Yet, clustering complex datasets containing critically intertwined shapes poses significant challenges. The prevailing clustering algorithms widely depend on…

Machine Learning · Computer Science 2025-05-08 Arghya Pratihar , Kushal Bose , Swagatam Das

We study here the semi-supervised $k$-clustering problem where information is available on whether pairs of objects are in the same or in different clusters. This information is either available with certainty or with a limited level of…

Machine Learning · Computer Science 2024-10-21 Philipp Baumann , Dorit S. Hochbaum

We present three quantum algorithms for clustering graphs based on higher-order patterns, known as motif clustering. One uses a straightforward application of Grover search, the other two make use of quantum approximate counting, and all of…

Quantum Physics · Physics 2023-07-05 Chris Cade , Farrokh Labib , Ido Niesen

Recently there has been an increase in the studies on time-series data mining specifically time-series clustering due to the vast existence of time-series in various domains. The large volume of data in the form of time-series makes it…

Machine Learning · Computer Science 2019-12-06 Hossein Kamalzadeh , Abbas Ahmadi , Saeed Mansour

While convolution and self-attention are extensively used in learned image compression (LIC) for transform coding, this paper proposes an alternative called Contextual Clustering based LIC (CLIC) which primarily relies on clustering…

Image and Video Processing · Electrical Eng. & Systems 2024-01-23 Yichi Zhang , Zhihao Duan , Ming Lu , Dandan Ding , Fengqing Zhu , Zhan Ma

This work initiates the study of memory-query tradeoffs for graph problems, with a focus on correlation clustering. Correlation clustering asks for a partition of the vertices that minimizes disagreements: non-edges inside clusters plus…

Computational Complexity · Computer Science 2026-05-25 Sumegha Garg , Songhua He , Periklis A. Papakonstantinou

Cluster analysis is one of the essential tasks in data mining and knowledge discovery. Each type of data poses unique challenges in achieving relatively efficient partitioning of the data into homogeneous groups. While the algorithms for…

Machine Learning · Computer Science 2018-12-11 Ruben A. Gevorgyan , Yenok B. Hakobyan

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

We aim to cluster financial assets in order to identify a small set of stocks to approximate the level of diversification of the whole universe of stocks. We develop a data-driven approach to clustering based on a correlation blockmodel in…

Portfolio Management · Quantitative Finance 2021-08-16 Wenpin Tang , Xiao Xu , Xun Yu Zhou