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Distributed processing over networks relies on in-network processing and cooperation among neighboring agents. Cooperation is beneficial when agents share a common objective. However, in many applications agents may belong to different…

Optimization and Control · Mathematics 2023-07-19 Xiaochuan Zhao , Ali H. Sayed

We consider the problem of grouping items into clusters based on few random pairwise comparisons between the items. We introduce three closely related algorithms for this task: a belief propagation algorithm approximating the Bayes optimal…

Social and Information Networks · Computer Science 2016-08-26 Alaa Saade , Marc Lelarge , Florent Krzakala , Lenka Zdeborová

We study the classic correlation clustering in the dynamic setting. Given $n$ objects and a complete labeling of the object-pairs as either similar or dissimilar, the goal is to partition the objects into arbitrarily many clusters while…

Data Structures and Algorithms · Computer Science 2025-07-15 Soheil Behnezhad , Moses Charikar , Vincent Cohen-Addad , Alma Ghafari , Weiyun Ma

The objective of clustering is to discover natural groups in datasets and to identify geometrical structures which might reside there, without assuming any prior knowledge on the characteristics of the data. The problem can be seen as…

Computational Geometry · Computer Science 2018-01-26 Luis-Evaristo Caraballo , José-Miguel Díaz-Báñez , Nadine Kroher

The higher-order correlation clustering problem is an expressive model, and recently, local search heuristics have been proposed for several applications. Certifying optimality, however, is NP-hard and practically hampered already by the…

Discrete Mathematics · Computer Science 2023-04-03 David Stein , Silvia Di Gregorio , Bjoern Andres

Mining community structures from the complex network is an important problem across a variety of fields. Many existing community detection methods detect communities through optimizing a community evaluation function. However, most of these…

Social and Information Networks · Computer Science 2019-04-10 Zheng Chen , Zengyou He , Hao Liang , Can Zhao , Yan Liu

Deep clustering is an essential task in modern artificial intelligence, aiming to partition a set of data samples into a given number of homogeneous groups (i.e., clusters). Recent studies have proposed increasingly advanced deep neural…

Machine Learning · Computer Science 2025-11-18 Tianyu Cheng , Qun Chen

Hierarchical Clustering is a popular unsupervised machine learning method with decades of history and numerous applications. We initiate the study of differentially private approximation algorithms for hierarchical clustering under the…

Machine Learning · Computer Science 2023-05-25 Jacob Imola , Alessandro Epasto , Mohammad Mahdian , Vincent Cohen-Addad , Vahab Mirrokni

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…

Data Structures and Algorithms · Computer Science 2018-05-15 Dorit S. Hochbaum

There are various cluster validity indices used for evaluating clustering results. One of the main objectives of using these indices is to seek the optimal unknown number of clusters. Some indices work well for clusters with different…

Machine Learning · Statistics 2024-01-09 Nathakhun Wiroonsri

This study concentrates on clustering problems and aims to find compact clusters that are informative regarding the outcome variable. The main goal is partitioning data points so that observations in each cluster are similar and the outcome…

Neural and Evolutionary Computing · Computer Science 2022-01-27 Zahra Ghasemi , Hadi Akbarzadeh Khorshidi , Uwe Aickelin

We study streaming algorithms for Correlation Clustering. Given a graph as an arbitrary-order stream of edges, with each edge labeled as positive or negative, the goal is to partition the vertices into disjoint clusters, such that the…

Data Structures and Algorithms · Computer Science 2025-10-14 Yinhao Dong , Shan Jiang , Shi Li , Pan Peng

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 an analysis of the transductive node classification problem, where the underlying graph consists of communities that agree with the node labels and node features. For node classification, we propose a novel optimization problem…

Machine Learning · Computer Science 2025-08-29 Firooz Shahriari-Mehr , Javad Aliakbari , Alexandre Graell i Amat , Ashkan Panahi

Recently, graph matching algorithms have been successfully applied to the problem of network de-anonymization, in which nodes (users) participating to more than one social network are identified only by means of the structure of their links…

Social and Information Networks · Computer Science 2015-08-11 C. F Chiasserini , M. Garetto , E. Leonardi

Clustering is considered a non-supervised learning setting, in which the goal is to partition a collection of data points into disjoint clusters. Often a bound $k$ on the number of clusters is given or assumed by the practitioner. Many…

Machine Learning · Computer Science 2012-02-01 Nir Ailon , Ron Begleiter

We study the problem of clustering sequences of unlabeled point sets taken from a common metric space. Such scenarios arise naturally in applications where a system or process is observed in distinct time intervals, such as biological…

Data Structures and Algorithms · Computer Science 2017-10-17 Tamal K. Dey , Alfred Rossi , Anastasios Sidiropoulos

Data analysis often involves an iterative process, where solutions must be continuously refined in response to new data. Typically, as new data becomes available, an existing solution must be updated to incorporate the latest information.…

Data Structures and Algorithms · Computer Science 2025-12-18 Ameet Gadekar , Aristides Gionis , Thibault Marette

Clustering is a fundamental unsupervised learning problem where a dataset is partitioned into clusters that consist of nearby points in a metric space. A recent variant, fair clustering, associates a color with each point representing its…

Machine Learning · Computer Science 2023-01-10 Seyed A. Esmaeili , Brian Brubach , Aravind Srinivasan , John P. Dickerson

Cluster matching by permuting cluster labels is important in many clustering contexts such as cluster validation and cluster ensemble techniques. The classic approach is to minimize the euclidean distance between two cluster solutions which…

Artificial Intelligence · Computer Science 2007-05-31 Jens Oehlschlägel