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The mixture models have become widely used in clustering, given its probabilistic framework in which its based, however, for modern databases that are characterized by their large size, these models behave disappointingly in setting out the…

Machine Learning · Statistics 2017-02-01 Abdelghafour Talibi , Boujemâa Achchab , Rafik Lasri

This paper presents a distance-based discriminative framework for learning with probability distributions. Instead of using kernel mean embeddings or generalized radial basis kernels, we introduce embeddings based on dissimilarity of…

Machine Learning · Computer Science 2018-11-16 Alain Rakotomamonjy , Abraham Traoré , Maxime Berar , Rémi Flamary , Nicolas Courty

One of the most prominent challenges in clustering is "the user's dilemma," which is the problem of selecting an appropriate clustering algorithm for a specific task. A formal approach for addressing this problem relies on the…

Machine Learning · Computer Science 2016-10-05 Margareta Ackerman , Shai Ben-David , Simina Brânzei , David Loker

Fair clustering has become a socially significant task with the advancement of machine learning technologies and the growing demand for trustworthy AI. Group fairness ensures that the proportions of each sensitive group are similar in all…

Machine Learning · Statistics 2025-06-17 Jihu Lee , Kunwoong Kim , Yongdai Kim

The use of external data in clinical trials offers numerous advantages, such as reducing the number of patients, increasing study power, and shortening trial durations. In Bayesian inference, information in external data can be transferred…

Methodology · Statistics 2025-09-17 Xuetao Lu , J. Jack Lee

Despite its popularity, it is widely recognized that the investigation of some theoretical aspects of clustering has been relatively sparse. One of the main reasons for this lack of theoretical results is surely the fact that, whereas for…

Statistics Theory · Mathematics 2015-12-11 José E. Chacón

We present a novel framework for concomitant dimension reduction and clustering. This framework is based on a novel class of Bayesian clustering factor models. These models assume a factor model structure where the vectors of common factors…

Methodology · Statistics 2025-05-09 Hwasoo Shin , Marco A. R. Ferreira , Allison N. Tegge

Similarity-based clustering and semi-supervised learning methods separate the data into clusters or classes according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper,…

Machine Learning · Statistics 2017-09-06 Yingzhen Yang , Feng Liang , Nebojsa Jojic , Shuicheng Yan , Jiashi Feng , Thomas S. Huang

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

Finite mixture models have become a popular tool for clustering. Amongst other uses, they have been applied for clustering longitudinal data and clustering high-dimensional data. In the latter case, a latent Gaussian mixture model is…

Methodology · Statistics 2018-04-17 Vanessa S. E. Bierling , Paul D. McNicholas

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

Machine Learning · Computer Science 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

Model-based clustering of moderate or large dimensional data is notoriously difficult. We propose a model for simultaneous dimensionality reduction and clustering by assuming a mixture model for a set of latent scores, which are then linked…

Methodology · Statistics 2024-06-04 Lorenzo Ghilotti , Mario Beraha , Alessandra Guglielmi

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

Machine Learning · Computer Science 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller

Kernel methods are popular in clustering due to their generality and discriminating power. However, we show that many kernel clustering criteria have density biases theoretically explaining some practically significant artifacts empirically…

Machine Learning · Statistics 2017-12-11 Dmitrii Marin , Meng Tang , Ismail Ben Ayed , Yuri Boykov

Discrete mixture models are routinely used for density estimation and clustering. While conducting inferences on the cluster-specific parameters, current frequentist and Bayesian methods often encounter problems when clusters are placed too…

Methodology · Statistics 2012-09-21 Francesca Petralia , Vinayak Rao , David B. Dunson

Non-Gaussian mixture models are gaining increasing attention for mixture model-based clustering particularly when dealing with data that exhibit features such as skewness and heavy tails. Here, such a mixture distribution is presented,…

Computation · Statistics 2020-05-07 Yuan Fang , Dimitris Karlis , Sanjeena Subedi

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

Clustering is an important research topic for wireless sensor networks (WSNs). A large variety of approaches has been presented focusing on different performance metrics. Even though all of them have many practical applications, an…

Networking and Internet Architecture · Computer Science 2011-07-11 Dimitrios Amaxilatis , Ioannis Chatzigiannakis , Christos Koninis , Apostolos Pyrgelis

Many data clustering applications must handle objects that cannot be represented as vectors. In this context, the bag-of-vectors representation describes complex objects through discrete distributions, for which the Wasserstein distance…

Machine Learning · Computer Science 2025-10-15 Alfredo Oneto , Blazhe Gjorgiev , Giovanni Sansavini

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

Methodology · Statistics 2020-01-22 Mirko Signorelli , Ernst Wit
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