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Correlation clustering is perhaps 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…

Data Structures and Algorithms · Computer Science 2013-12-19 Francesco Bonchi , David García-Soriano , Konstantin Kutzkov

We present an algorithm of clustering of many-dimensional objects, where only the distances between objects are used. Centers of classes are found with the aid of neuron-like procedure with lateral inhibition. The result of clustering does…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Leonid B. Litinskii , Dmitry E. Romanov

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

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

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

In this paper, we initiate a rigorous theoretical study of clustering with noisy queries (or a faulty oracle). Given a set of $n$ elements, our goal is to recover the true clustering by asking minimum number of pairwise queries to an…

Machine Learning · Statistics 2017-06-26 Arya Mazumdar , Barna Saha

Ashtiani et al. (NIPS 2016) introduced a semi-supervised framework for clustering (SSAC) where a learner is allowed to make same-cluster queries. More specifically, in their model, there is a query oracle that answers queries of the form…

Data Structures and Algorithms · Computer Science 2017-12-20 Nir Ailon , Anup Bhattacharya , Ragesh Jaiswal

Deep clustering aims to learn a clustering representation through deep architectures. Most of the existing methods usually conduct clustering with the unique goal of maximizing clustering performance, that ignores the personalized demand of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-02 Mengdie Wang , Liyuan Shang , Suyun Zhao , Yiming Wang , Hong Chen , Cuiping Li , Xizhao Wang

Given a graph with positive and negative edge labels, the correlation clustering problem aims to cluster the nodes so to minimize the total number of between-cluster positive and within-cluster negative edges. This problem has many…

Data Structures and Algorithms · Computer Science 2024-06-17 Mina Dalirrooyfard , Konstantin Makarychev , Slobodan Mitrović

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-09 Mélanie Cambus , Davin Choo , Havu Miikonen , Jara Uitto

We study parallel algorithms for correlation clustering. Each pair among $n$ objects is labeled as either "similar" or "dissimilar". The goal is to partition the objects into arbitrarily many clusters while minimizing the number of…

Data Structures and Algorithms · Computer Science 2022-05-10 Soheil Behnezhad , Moses Charikar , Weiyun Ma , Li-Yang Tan

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

Subspace clustering is a growing field of unsupervised learning that has gained much popularity in the computer vision community. Applications can be found in areas such as motion segmentation and face clustering. It assumes that data…

Machine Learning · Statistics 2019-11-12 Hankui Peng , Nicos G. Pavlidis

We study the problem of learning to cluster data points using an oracle which can answer same-cluster queries. Different from previous approaches, we do not assume that the total number of clusters is known at the beginning and do not…

Machine Learning · Computer Science 2021-08-18 Yi Li , Yan Song , Qin Zhang

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…

Machine Learning · Computer Science 2022-02-23 Daogao Liu

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…

Data Structures and Algorithms · Computer Science 2019-07-02 Saba Ahmadi , Sainyam Galhotra , Samir Khuller , Barna Saha , Roy Schwartz

Learning a model of perceptual similarity from a collection of objects is a fundamental task in machine learning underlying numerous applications. A common way to learn such a model is from relative comparisons in the form of triplets:…

Machine Learning · Computer Science 2015-11-10 Eric Heim , Matthew Berger , Lee Seversky , Milos Hauskrecht

Properly estimating correlations between objects at different spatial scales necessitates $\mathcal{O}(n^2)$ distance calculations. For this reason, most widely adopted packages for estimating correlations use clustering algorithms to…

Motivated by social balance theory, we develop a theory of link classification in signed networks using the correlation clustering index as measure of label regularity. We derive learning bounds in terms of correlation clustering within…

Machine Learning · Computer Science 2013-03-01 Nicolo Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

We study the problem of clustering a set of items from binary user feedback. Such a problem arises in crowdsourcing platforms solving large-scale labeling tasks with minimal effort put on the users. For example, in some of the recent…

Machine Learning · Statistics 2024-12-20 Kaito Ariu , Jungseul Ok , Alexandre Proutiere , Se-Young Yun