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Hierarchical clustering is one of the most powerful solutions to the problem of clustering, on the grounds that it performs a multi scale organization of the data. In recent years, research on hierarchical clustering methods has attracted…

Machine Learning · Computer Science 2019-08-02 Antonia Korba

Clustering graphs based on a comparison of the number of links within clusters and the expected value of this quantity in a random graph has gained a lot of attention and popularity in the last decade. Recently, Aldecoa and Marin proposed a…

Data Structures and Algorithms · Computer Science 2013-10-23 Tobias Fleck , Andrea Kappes , Dorothea Wagner

When some 'entities' are related by the 'features' they share they are amenable to a bipartite network representation. Plant-pollinator ecological communities, co-authorship of scientific papers, customers and purchases, or answers in a…

Social and Information Networks · Computer Science 2020-10-14 Ignacio Tamarit , María Pereda , José A. Cuesta

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

Graph clustering is a fundamental problem that has been extensively studied both in theory and practice. The problem has been defined in several ways in literature and most of them have been proven to be NP-Hard. Due to their high practical…

Social and Information Networks · Computer Science 2012-03-27 Sumit Singh

In recent years, crowdsourcing, aka human aided computation has emerged as an effective platform for solving problems that are considered complex for machines alone. Using human is time-consuming and costly due to monetary compensations.…

Data Structures and Algorithms · Computer Science 2016-04-08 Arya Mazumdar , Barna Saha

Clustering plays a crucial role in computer science, facilitating data analysis and problem-solving across numerous fields. By partitioning large datasets into meaningful groups, clustering reveals hidden structures and relationships within…

Databases · Computer Science 2026-02-19 Aryan Esmailpour , Stavros Sintos

Hierarchical clustering is a class of algorithms that seeks to build a hierarchy of clusters. It has been the dominant approach to constructing embedded classification schemes since it outputs dendrograms, which capture the hierarchical…

Machine Learning · Statistics 2018-08-28 Xiaofei Ma , Satya Dhavala

We consider the classic correlation clustering problem in the hierarchical setting. Given a complete graph $G=(V,E)$ and $\ell$ layers of input information, where the input of each layer consists of a nonnegative weight and a labeling of…

Data Structures and Algorithms · Computer Science 2025-04-10 Hyung-Chan An , Mong-Jen Kao , Changyeol Lee , Mu-Ting Lee

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

Data Structures and Algorithms · Computer Science 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

The well-known clustering algorithm of Miller, Peng, and Xu (SPAA 2013) is useful for many applications, including low-diameter decomposition and low-energy distributed algorithms. One nice property of their clustering, shown in previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-12 Yi-Jun Chang , Varsha Dani , Thomas P. Hayes

Obtaining scalable algorithms for hierarchical agglomerative clustering (HAC) is of significant interest due to the massive size of real-world datasets. At the same time, efficiently parallelizing HAC is difficult due to the seemingly…

Data Structures and Algorithms · Computer Science 2022-06-24 Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirronki , Jessica Shi

Clustering is often used for discovering structure in data. Clustering systems differ in the objective function used to evaluate clustering quality and the control strategy used to search the space of clusterings. Ideally, the search…

Artificial Intelligence · Computer Science 2014-11-17 D. Fisher

We survey agglomerative hierarchical clustering algorithms and discuss efficient implementations that are available in R and other software environments. We look at hierarchical self-organizing maps, and mixture models. We review grid-based…

Information Retrieval · Computer Science 2011-05-03 Fionn Murtagh , Pedro Contreras

Clustering is a fundamental tool for analyzing large data sets. A rich body of work has been devoted to designing data-stream algorithms for the relevant optimization problems such as $k$-center, $k$-median, and $k$-means. Such algorithms…

Data Structures and Algorithms · Computer Science 2018-12-06 Kook Jin Ahn , Graham Cormode , Sudipto Guha , Andrew McGregor , Anthony Wirth

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

Graph clustering is a fundamental problem in unsupervised learning, with numerous applications in computer science and in analysing real-world data. In many real-world applications, we find that the clusters have a significant high-level…

Data Structures and Algorithms · Computer Science 2023-01-02 Peter Macgregor

Hypergraph partitioning is an important problem in machine learning, computer vision and network analytics. A widely used method for hypergraph partitioning relies on minimizing a normalized sum of the costs of partitioning hyperedges…

Machine Learning · Computer Science 2017-11-06 Pan Li , Olgica Milenkovic

Graph clustering or community detection constitutes an important task for investigating the internal structure of graphs, with a plethora of applications in several domains. Traditional techniques for graph clustering, such as spectral…

Advances in sensing technologies and the growth of the internet have resulted in an explosion in the size of modern datasets, while storage and processing power continue to lag behind. This motivates the need for algorithms that are…

Machine Learning · Computer Science 2012-06-22 Akshay Krishnamurthy , Sivaraman Balakrishnan , Min Xu , Aarti Singh