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An agglomerative clustering of random variables is proposed, where clusters of random variables sharing the maximum amount of multivariate mutual information are merged successively to form larger clusters. Compared to the previous…

Information Theory · Computer Science 2017-02-27 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou

The problem of multimodal clustering arises whenever the data are gathered with several physically different sensors. Observations from different modalities are not necessarily aligned in the sense there there is no obvious way to associate…

Machine Learning · Statistics 2020-12-10 Vasil Khalidov , Florence Forbes , Radu Horaud

Correlation clustering is a ubiquitous paradigm in unsupervised machine learning where addressing unfairness is a major challenge. Motivated by this, we study Fair Correlation Clustering where the data points may belong to different…

Machine Learning · Computer Science 2022-06-13 Sara Ahmadian , Maryam Negahbani

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

In the travel industry, online customers book their travel itinerary according to several features, like cost and duration of the travel or the quality of amenities. To provide personalized recommendations for travel searches, an…

Information Retrieval · Computer Science 2020-02-27 Sujoy Chatterjee , Nicolas Pasquier , Simon Nanty , Maria A. Zuluaga

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

Alternating Direction Method of Multipliers (ADMM) is a popular convex optimization algorithm, which can be employed for solving distributed consensus optimization problems. In this setting agents locally estimate the optimal solution of an…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Layla Majzoobi , Farshad Lahouti , Vahid Shah-Mansouri

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

Multi-view clustering leverages consistent and complementary information across multiple views to provide more comprehensive insights than single-view analysis. However, the heterogeneity and redundancy of multi-view data pose significant…

Optimization and Control · Mathematics 2025-08-12 Xiangru Xing , Yan Li , Xin Wang , Huangyue Chen , Xianchao Xiu

Networks often exhibit structure at disparate scales. We propose a method for identifying community structure at different scales based on multiresolution modularity and consensus clustering. Our contribution consists of two parts. First,…

Social and Information Networks · Computer Science 2018-02-01 Lucas G. S. Jeub , Olaf Sporns , Santo Fortunato

Multi-view clustering is an important yet challenging task due to the difficulty of integrating the information from multiple representations. Most existing multi-view clustering methods explore the heterogeneous information in the space…

Machine Learning · Computer Science 2019-09-16 Zhao Kang , Zipeng Guo , Shudong Huang , Siying Wang , Wenyu Chen , Yuanzhang Su , Zenglin Xu

This paper considers a canonical clustering problem where one receives unlabeled samples drawn from a balanced mixture of two elliptical distributions and aims for a classifier to estimate the labels. Many popular methods including PCA and…

Machine Learning · Statistics 2021-11-30 Kaizheng Wang , Yuling Yan , Mateo Díaz

We study the problem of explainability-first clustering where explainability becomes a first-class citizen for clustering. Previous clustering approaches use decision trees for explanation, but only after the clustering is completed. In…

Machine Learning · Computer Science 2022-12-13 Hyunseung Hwang , Steven Euijong Whang

This paper studies a consensus problem of multi-agent systems subjected to external disturbances over the clustered network. It considers that the agents are divided into several clusters. They are almost all the time isolated one from…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Thiem V. Pham , Quynh T. T. Nguyen

Recent advances in center-based clustering continue to improve upon the drawbacks of Lloyd's celebrated $k$-means algorithm over $60$ years after its introduction. Various methods seek to address poor local minima, sensitivity to outliers,…

Machine Learning · Statistics 2021-10-28 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

We consider stochastic settings for clustering, and develop provably-good approximation algorithms for a number of these notions. These algorithms yield better approximation ratios compared to the usual deterministic clustering setting.…

Data Structures and Algorithms · Computer Science 2023-10-13 David G. Harris , Shi Li , Thomas Pensyl , Aravind Srinivasan , Khoa Trinh

Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

Machine Learning · Computer Science 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

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

Organization, scalability and routing have been identified as key problems hindering viability and commercial success of mobile ad hoc networks. Clustering of mobile nodes among separate domains has been proposed as an efficient approach to…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-20 Damianos Gavalas , Grammati Pantziou , Charalampos Konstantopoulos , Basilis Mamalis

A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

Methodology · Statistics 2020-06-24 Serhat Emre Akhanli , Christian Hennig
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