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Graph construction is a crucial step in spectral clustering (SC) and graph-based semi-supervised learning (SSL). Spectral methods applied on standard graphs such as full-RBF, $\epsilon$-graphs and $k$-NN graphs can lead to poor performance…

Machine Learning · Statistics 2012-05-09 Jing Qian , Venkatesh Saligrama , Manqi Zhao

In this work we propose a simple and easily parallelizable algorithm for multiway graph partitioning. The algorithm alternates between three basic components: diffusing seed vertices over the graph, thresholding the diffused seeds, and then…

Machine Learning · Statistics 2014-06-17 Xavier Bresson , Huiyi Hu , Thomas Laurent , Arthur Szlam , James von Brecht

Spectral clustering is widely used in practice due to its flexibility, computational efficiency, and well-understood theoretical performance guarantees. Recently, spectral clustering has been studied to find balanced clusters under…

Machine Learning · Statistics 2022-03-07 Shubham Gupta , Ambedkar Dukkipati

Peer-grouping is used in many sectors for organisational learning, policy implementation, and benchmarking. Clustering provides a statistical, data-driven method for constructing meaningful peer groups, but peer groups must be compatible…

Applications · Statistics 2021-07-14 Daniel William Kennedy , Jessica Cameron , Paul Pao-Yen Wu , Kerrie Mengersen

Clustering is an unsupervised learning problem that aims to partition unlabelled data points into groups with similar features. Traditional clustering algorithms provide limited insight into the groups they find as their main focus is…

Machine Learning · Computer Science 2022-10-18 Connor Lawless , Oktay Gunluk

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

Machine Learning · Computer Science 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

We consider the problem of learning from a similarity matrix (such as spectral clustering and lowd imensional embedding), when computing pairwise similarities are costly, and only a limited number of entries can be observed. We provide a…

Machine Learning · Statistics 2014-06-11 Ethan Fetaya , Ohad Shamir , Shimon Ullman

In this paper, we present an approach to search result clustering, using partitioning of underlying link graph. We define the notion of "query-induced subgraph" and formulate the problem of search result clustering as a problem of efficient…

Information Retrieval · Computer Science 2008-11-27 Aleksandar Bradic

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

Quantitative Methods · Quantitative Biology 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

Spectral clustering and its extensions usually consist of two steps: (1) constructing a graph and computing the relaxed solution; (2) discretizing relaxed solutions. Although the former has been extensively investigated, the discretization…

Machine Learning · Computer Science 2023-10-20 Hongyuan Zhang , Xuelong Li

We study the design of local algorithms for massive graphs. A local algorithm is one that finds a solution containing or near a given vertex without looking at the whole graph. We present a local clustering algorithm. Our algorithm finds a…

Data Structures and Algorithms · Computer Science 2008-09-19 Daniel A. Spielman , Shang-Hua Teng

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

Methodology · Statistics 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

Machine Learning · Computer Science 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

Methodology · Statistics 2025-11-12 Kentaro Fukumoto

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

Real-world networks often come with side information that can help to improve the performance of network analysis tasks such as clustering. Despite a large number of empirical and theoretical studies conducted on network clustering methods…

Machine Learning · Statistics 2022-07-29 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

Graph clustering is widely used in many data analysis applications. In this paper we propose several parallel graph clustering algorithms based on Monte Carlo simulations and expectation maximization in the context of stochastic block…

Data Structures and Algorithms · Computer Science 2016-09-05 Frederic Prost , Jisang Yoon

This article empirically examines the computational cost of solving a known hard problem, graph clustering, using novel purpose-built computer hardware. We express the graph clustering problem as an intra-cluster distance or dissimilarity…

Social and Information Networks · Computer Science 2020-03-10 Pierre Miasnikof , Seo Hong , Yuri Lawryshyn

We develop a novel parallel decomposition strategy for unweighted, undirected graphs, based on growing disjoint connected clusters from batches of centers progressively selected from yet uncovered nodes. With respect to similar previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-09 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal