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We consider the problem of clustering nested or hierarchical data, where observations are grouped and there are both group-level and observation-level variables. In our motivating OneK1K dataset, observations consist of single-cell…

Methodology · Statistics 2026-04-14 Arhit Chakrabarti , Yang Ni , Yuchao Jiang , Bani K. Mallick

We present MIX'EM, a novel solution for unsupervised image classification. MIX'EM generates representations that by themselves are sufficient to drive a general-purpose clustering algorithm to deliver high-quality classification. This is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Ali Varamesh , Tinne Tuytelaars

We consider the problem of clustering with $K$-means and Gaussian mixture models with a constraint on the separation between the centers in the context of real-valued data. We first propose a dynamic programming approach to solving the…

Computation · Statistics 2023-01-24 He Jiang , Ery Arias-Castro

In order to cluster or partition data, we often use Expectation-and-Maximization (EM) or Variational approximation with a Gaussian Mixture Model (GMM), which is a parametric probability density function represented as a weighted sum of…

Machine Learning · Computer Science 2013-07-04 Ji Won Yoon

The interpretation of unlabeled acoustic emission (AE) data classically relies on general-purpose clustering methods. While several external criteria have been used in the past to select the hyperparameters of those algorithms, few studies…

Machine Learning · Statistics 2022-11-29 Emmanuel Ramasso , Thierry Denoeux , Gael Chevallier

Deep embedded clustering has become a dominating approach to unsupervised categorization of objects with deep neural networks. The optimization of the most popular methods alternates between the training of a deep autoencoder and a k-means…

Machine Learning · Statistics 2021-05-04 Ahcène Boubekki , Michael Kampffmeyer , Robert Jenssen , Ulf Brefeld

Bayesian models offer great flexibility for clustering applications---Bayesian nonparametrics can be used for modeling infinite mixtures, and hierarchical Bayesian models can be utilized for sharing clusters across multiple data sets. For…

Machine Learning · Computer Science 2012-06-15 Brian Kulis , Michael I. Jordan

High-dimensional data clustering has become and remains a challenging task for modern statistics and machine learning, with a wide range of applications. We consider in this work the powerful discriminative latent mixture model, and we…

Methodology · Statistics 2020-12-09 Nicolas Jouvin , Charles Bouveyron , Pierre Latouche

Ensemble Learning methods combine multiple algorithms performing the same task to build a group with superior quality. These systems are well adapted to the distributed setup, where each peer or machine of the network hosts one algorithm…

Machine Learning · Computer Science 2021-10-19 Gaëlle Candel , David Naccache

Semi-supervised clustering methods incorporate a limited amount of supervision into the clustering process. Typically, this supervision is provided by the user in the form of pairwise constraints. Existing methods use such constraints in…

Machine Learning · Statistics 2016-09-26 Toon Van Craenendonck , Hendrik Blockeel

Multi-view clustering has attracted broad attention due to its capacity to utilize consistent and complementary information among views. Although tremendous progress has been made recently, most existing methods undergo high complexity,…

Machine Learning · Computer Science 2023-06-28 Xinhang Wan , Jiyuan Liu , Xinwang Liu , Siwei Wang , Yi Wen , Tianjiao Wan , Li Shen , En Zhu

This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

Machine Learning · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

Ensemble clustering integrates a set of base clustering results to generate a stronger one. Existing methods usually rely on a co-association (CA) matrix that measures how many times two samples are grouped into the same cluster according…

Machine Learning · Computer Science 2023-02-24 Yuheng Jia , Sirui Tao , Ran Wang , Yongheng Wang

Clustering is a fundamental problem in many scientific applications. Standard methods such as $k$-means, Gaussian mixture models, and hierarchical clustering, however, are beset by local minima, which are sometimes drastically suboptimal.…

Machine Learning · Statistics 2015-12-14 Eric C. Chi , Kenneth Lange

The pioneering method for unsupervised meta-learning, CACTUs, is a clustering-based approach with pseudo-labeling. This approach is model-agnostic and can be combined with supervised algorithms to learn from unlabeled data. However, it…

Machine Learning · Computer Science 2022-09-29 Xingping Dong , Jianbing Shen , Ling Shao

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

Clustering ensemble is one of the most recent advances in unsupervised learning. It aims to combine the clustering results obtained using different algorithms or from different runs of the same clustering algorithm for the same data set,…

Machine Learning · Computer Science 2012-08-22 Ashraf Mohammed Iqbal , Abidalrahman Moh'd , Zahoor Khan

We consider the problem of jointly modeling and clustering populations of tensors by introducing a high-dimensional tensor mixture model with heterogeneous covariances. To effectively tackle the high dimensionality of tensor objects, we…

Methodology · Statistics 2024-11-21 Biao Cai , Jingfei Zhang , Will Wei Sun

Deep clustering outperforms conventional clustering by mutually promoting representation learning and cluster assignment. However, most existing deep clustering methods suffer from two major drawbacks. First, most cluster assignment methods…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Hanxuan Wang , Na Lu , Qinyang Liu
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