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In this paper, we present a novel method for co-clustering, an unsupervised learning approach that aims at discovering homogeneous groups of data instances and features by grouping them simultaneously. The proposed method uses the entropy…

Machine Learning · Statistics 2017-05-22 Charlotte Laclau , Ievgen Redko , Basarab Matei , Younès Bennani , Vincent Brault

Co-clustering, that is, partitioning a numerical matrix into homogeneous submatrices, has many applications ranging from bioinformatics to election analysis. Many interesting variants of co-clustering are NP-hard. We focus on the basic…

Discrete Mathematics · Computer Science 2019-06-17 Laurent Bulteau , Vincent Froese , Sepp Hartung , Rolf Niedermeier

Low-latency instance segmentation of LiDAR point clouds is crucial in real-world applications because it serves as an initial and frequently-used building block in a robot's perception pipeline, where every task adds further delay.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Andreas Reich , Mirko Maehlisch

We introduce a general semiparametric clusterwise elliptical distribution to assess how latent cluster structure shapes continuous outcomes. Using a subjectwise representation, we first estimate cluster-specific mean vectors and a…

Methodology · Statistics 2026-04-10 Jen-Chieh Teng , Sheng-Hsin Fan , Chin-Tsang Chiang , Ming-Yueh Huang , Alvin Lim

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

Methodology · Statistics 2020-02-10 Shonosuke Sugasawa

We address the problem of learning linear system models from observing multiple trajectories from different system dynamics. This framework encompasses a collaborative scenario where several systems seeking to estimate their dynamics are…

Optimization and Control · Mathematics 2023-09-12 Leonardo F. Toso , Han Wang , James Anderson

Common clustering methods, such as $k$-means and convex clustering, group similar vector-valued observations into clusters. However, with the increasing prevalence of matrix-valued observations, which often exhibit low rank characteristics,…

Optimization and Control · Mathematics 2024-12-24 Meixia Lin , Yangjing Zhang

Matrix-variate distributions can intuitively model the dependence structure of matrix-valued observations that arise in applications with multivariate time series, spatio-temporal or repeated measures. This paper develops an…

Methodology · Statistics 2019-12-24 Geoffrey Z. Thompson , Ranjan Maitra , William Q. Meeker , Ashraf Bastawros

Automatic marbles classification based on their visual appearance is an important industrial issue. However, there is no definitive solution to the problem mainly due to the presence of randomly distributed high number of different colours…

Artificial Intelligence · Computer Science 2007-05-23 J. R. Caldas-Pinto , Pedro Pina , Vitorino Ramos , Mario Ramalho

In this paper, we propose an efficient clustering technique to solve the problem of clustering in the presence of obstacles. The proposed algorithm divides the spatial area into rectangular cells. Each cell is associated with statistical…

Databases · Computer Science 2009-09-25 Mohamed E. El-Sharkawi , Mohamed A. El-Zawawy

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

In this paper we present Collaborative Low-Rank Subspace Clustering. Given multiple observations of a phenomenon we learn a unified representation matrix. This unified matrix incorporates the features from all the observations, thus…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

Cluster analysis is one of the essential tasks in data mining and knowledge discovery. Each type of data poses unique challenges in achieving relatively efficient partitioning of the data into homogeneous groups. While the algorithms for…

Machine Learning · Computer Science 2018-12-11 Ruben A. Gevorgyan , Yenok B. Hakobyan

Automotive radar sensors output a lot of unwanted clutter or ghost detections, whose position and velocity do not correspond to any real object in the sensor's field of view. This poses a substantial challenge for environment perception…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Johannes Kopp , Dominik Kellner , Aldi Piroli , Klaus Dietmayer

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

Deep clustering which adopts deep neural networks to obtain optimal representations for clustering has been widely studied recently. In this paper, we propose a novel deep image clustering framework to learn a category-style latent…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Junjie Zhao , Donghuan Lu , Kai Ma , Yu Zhang , Yefeng Zheng

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

Methodology · Statistics 2021-10-20 Emily M. Goren , Ranjan Maitra

Among community detection methods, spectral clustering enjoys two desirable properties: computational efficiency and theoretical guarantees of consistency. Most studies of spectral clustering consider only the edges of a network as input to…

Machine Learning · Statistics 2022-05-18 Jonathan Hehir , Xiaoyue Niu , Aleksandra Slavkovic

The exponential growth in waste production due to rapid economic and industrial development necessitates efficient waste management strategies to mitigate environmental pollution and resource depletion. Leveraging advancements in computer…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Jenil Kanani

This study introduces a general semiparametric clusterwise index distribution model to analyze how latent clusters affect the covariate-response relationships. By employing sufficient dimension reduction to account for the effects of…

Methodology · Statistics 2025-09-30 Jen-Chieh Teng , Chin-Tsang Chiang