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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

Convex clustering is an attractive clustering algorithm with favorable properties such as efficiency and optimality owing to its convex formulation. It is thought to generalize both k-means clustering and agglomerative clustering. However,…

Machine Learning · Statistics 2021-05-19 Canh Hao Nguyen , Hiroshi Mamitsuka

Cluster analysis plays an important role in decision making process for many knowledge-based systems. There exist a wide variety of different approaches for clustering applications including the heuristic techniques, probabilistic models,…

Artificial Intelligence · Computer Science 2017-03-09 Kayvan Bijari , Hadi Zare , Hadi Veisi , Hossein Bobarshad

In this paper we propose a Deep Autoencoder MIxture Clustering (DAMIC) algorithm based on a mixture of deep autoencoders where each cluster is represented by an autoencoder. A clustering network transforms the data into another space and…

Machine Learning · Computer Science 2019-03-28 Shlomo E. Chazan , Sharon Gannot , Jacob Goldberger

Fairness of decision-making algorithms is an increasingly important issue. In this paper, we focus on spectral clustering with group fairness constraints, where every demographic group is represented in each cluster proportionally as in the…

Machine Learning · Computer Science 2025-06-11 Francesco Tonin , Alex Lambert , Johan A. K. Suykens , Volkan Cevher

In mixture model-based clustering applications, it is common to fit several models from a family and report clustering results from only the `best' one. In such circumstances, selection of this best model is achieved using a model selection…

Methodology · Statistics 2017-10-09 Yuhong Wei , Paul D. McNicholas

Healthcare datasets often contain groups of highly correlated features, such as features from the same biological system. When feature selection is applied to these datasets to identify the most important features, the biases inherent in…

Machine Learning · Computer Science 2022-07-07 Annette Spooner , Gelareh Mohammadi , Perminder S. Sachdev , Henry Brodaty , Arcot Sowmya

Clustering ensemble has emerged as an important research topic in the field of machine learning. Although numerous methods have been proposed to improve clustering quality, most existing approaches overlook the need for interpretability in…

Machine Learning · Computer Science 2025-06-09 Hang Lv , Lianyu Hu , Mudi Jiang , Xinying Liu , Zengyou He

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

Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

Machine Learning · Computer Science 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

Ensemble of predictions is known to perform better than individual predictions taken separately. However, for tasks that require heavy computational resources, e.g. semantic segmentation, creating an ensemble of learners that needs to be…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Walid Bousselham , Guillaume Thibault , Lucas Pagano , Archana Machireddy , Joe Gray , Young Hwan Chang , Xubo Song

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

Machine Learning · Computer Science 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

Ensemble learning is a popular technique to improve the accuracy of machine learning models. It traditionally hinges on the rationale that aggregating multiple weak models can lead to better models with lower variance and hence higher…

Optimization and Control · Mathematics 2026-01-06 Huajie Qian , Donghao Ying , Henry Lam , Wotao Yin

We give an efficient algorithm for Centroid-Linkage Hierarchical Agglomerative Clustering (HAC), which computes a $c$-approximate clustering in roughly $n^{1+O(1/c^2)}$ time. We obtain our result by combining a new Centroid-Linkage HAC…

Data Structures and Algorithms · Computer Science 2024-06-10 MohammadHossein Bateni , Laxman Dhulipala , Willem Fletcher , Kishen N Gowda , D Ellis Hershkowitz , Rajesh Jayaram , Jakub Łącki

We continue the investigation of problems concerning correlation clustering or clustering with qualitative information, which is a clustering formulation that has been studied recently. The basic setup here is that we are given as input a…

Data Structures and Algorithms · Computer Science 2007-05-23 Ioannis Giotis , Venkatesan Guruswami

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

Machine Learning · Statistics 2020-11-13 Joshua Tobin , Mimi Zhang

This study addresses the problem of performing clustering in the presence of two types of background knowledge: pairwise constraints and monotonicity constraints. To achieve this, the formal framework to perform clustering under…

A widely used paradigm to improve the generalization performance of high-capacity neural models is through the addition of auxiliary unsupervised tasks during supervised training. Tasks such as similarity matching and input reconstruction…

Machine Learning · Computer Science 2022-01-19 Shivin Srivastava , Kenji Kawaguchi , Vaibhav Rajan

State-of-the-art subspace clustering methods are based on self-expressive model, which represents each data point as a linear combination of other data points. By enforcing such representation to be sparse, sparse subspace clustering is…

Machine Learning · Computer Science 2020-05-05 Ying Chen , Chun-Guang Li , Chong You
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