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For data assumed to come from a finite mixture with an unknown number of components, it has become common to use Dirichlet process mixtures (DPMs) not only for density estimation, but also for inferences about the number of components. The…

Statistics Theory · Mathematics 2013-01-15 Jeffrey W. Miller , Matthew T. Harrison

In this paper we consider the problem of dynamic clustering, where cluster memberships may change over time and clusters may split and merge over time, thus creating new clusters and destroying existing ones. We propose a Bayesian…

Methodology · Statistics 2019-10-24 Maria De Iorio , Stefano Favaro , Alessandra Guglielmi , Lifeng Ye

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

Methodology · Statistics 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

We propose a new class of models for variable clustering called Asymptotic Independent block (AI-block) models, which defines population-level clusters based on the independence of the maxima of a multivariate stationary mixing random…

Statistics Theory · Mathematics 2024-07-08 Alexis Boulin , Elena Di Bernardino , Thomas Laloë , Gwladys Toulemonde

We consider the problem of model-based clustering in the presence of many correlated, mixed continuous and discrete variables, some of which may have missing values. Discrete variables are treated with a latent continuous variable approach…

We present a method that models the evolution of an unbounded number of time series clusters by switching among an unknown number of regimes with linear dynamics. We develop a Bayesian non-parametric approach using a hierarchical Dirichlet…

Machine Learning · Statistics 2025-10-09 Adrián Pérez-Herrero , Paulo Félix , Jesús Presedo , Carl Henrik Ek

Asynchronous event sequence clustering aims to group similar event sequences in an unsupervised manner. Mixture models of temporal point processes have been proposed to solve this problem, but they often suffer from overfitting, leading to…

Machine Learning · Computer Science 2024-11-08 Yiwei Dong , Shaoxin Ye , Yuwen Cao , Qiyu Han , Hongteng Xu , Hanfang Yang

Employing nonparametric methods for density estimation has become routine in Bayesian statistical practice. Models based on discrete nonparametric priors such as Dirichlet Process Mixture (DPM) models are very attractive choices due to…

Methodology · Statistics 2017-07-03 J. J. Quinlan , F. A. Quintana , G. L. Page

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

Machine Learning · Computer Science 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

Clustering based on vibration responses, such as transmissibility functions (TFs), is promising in structural anomaly detection. However, most existing methods struggle to determine the optimal cluster number, handle high-dimensional…

Machine Learning · Computer Science 2025-10-21 Lin-Feng Mei , Wang-Ji Yan

Directional data require specialized probability models because of the non-Euclidean and periodic nature of their domain. When a directional variable is observed jointly with linear variables, modeling their dependence adds an additional…

Methodology · Statistics 2022-12-22 Tong Zou , Hal S. Stern

When analyzing data from multiple sources, it is often convenient to strike a careful balance between two goals: capturing the heterogeneity of the samples and sharing information across them. We introduce a novel framework to model a…

Methodology · Statistics 2026-03-02 Laura D'Angelo , Bernardo Nipoti , Andrea Ongaro

Probabilistic mixture models are recognized as effective tools for unsupervised outlier detection owing to their interpretability and global characteristics. Among these, Dirichlet process mixture models stand out as a strong alternative to…

Machine Learning · Computer Science 2024-07-26 Dongwook Kim , Juyeon Park , Hee Cheol Chung , Seonghyun Jeong

Motivation: With the development of droplet based systems, massive single cell transcriptome data has become available, which enables analysis of cellular and molecular processes at single cell resolution and is instrumental to…

Machine Learning · Computer Science 2018-12-27 Tiehang Duan , José P. Pinto , Xiaohui Xie

Short text clustering has become increasingly important with the popularity of social media like Twitter, Google+, and Facebook. Existing methods can be broadly categorized into two paradigms: topic model-based approaches and deep…

Computation and Language · Computer Science 2025-07-21 Enhao Cheng , Shoujia Zhang , Jianhua Yin , Xuemeng Song , Tian Gan , Liqiang Nie

Dirichlet process mixture model (DPMM) is a popular Bayesian nonparametric model. In this paper, we apply this model to weighted data and then estimate the un-weighted distribution from the corresponding weighted distribution using the…

Computation · Statistics 2018-12-12 Soghra Bohlourihajjar , Soleiman Khazaei

In many applications of X-ray computed tomography, an unsupervised segmentation of the reconstructed 3D volumes forms an important step in the image processing chain for further investigation of the digitized object. Therefore, the goal is…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Thomas Lang

In this article we propose novel Bayesian nonparametric methods using Dirichlet Process Mixture (DPM) models for detecting pairwise dependence between random variables while accounting for uncertainty in the form of the underlying…

Methodology · Statistics 2016-04-28 Sarah Filippi , Chris C. Holmes , Luis E. Nieto-Barajas

We present a probabilistic model for unsupervised alignment of high-dimensional time-warped sequences based on the Dirichlet Process Mixture Model (DPMM). We follow the approach introduced in (Kazlauskaite, 2018) of simultaneously…

Machine Learning · Statistics 2018-11-28 Ieva Kazlauskaite , Ivan Ustyuzhaninov , Carl Henrik Ek , Neill D. F. Campbell