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Cluster analysis aims at partitioning data into groups or clusters. In applications, it is common to deal with problems where the number of clusters is unknown. Bayesian mixture models employed in such applications usually specify a…

Methodology · Statistics 2022-01-27 Jan Greve , Bettina Grün , Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter

In recent years, there has been a growing demand to discern clusters of subjects in datasets characterized by a large set of features. Often, these clusters may be highly variable in size and present partial hierarchical structures. In this…

Methodology · Statistics 2024-07-01 Lorenzo Schiavon , Mattia Stival

Bayesian models based on the Dirichlet process and other stick-breaking priors have been proposed as core ingredients for clustering, topic modeling, and other unsupervised learning tasks. However, due to the flexibility of these models,…

Methodology · Statistics 2022-01-27 Ryan Giordano , Runjing Liu , Michael I. Jordan , Tamara Broderick

Time series data may exhibit clustering over time and, in a multiple time series context, the clustering behavior may differ across the series. This paper is motivated by the Bayesian non--parametric modeling of the dependence between the…

Statistics Theory · Mathematics 2011-09-23 Federico Bassetti , Roberto Casarin , Fabrizio Leisen

We propose a Bayesian approach for model-based clustering of multivariate categorical data where variables are allowed to be associated within clusters and the number of clusters is unknown. The approach uses a two-layer mixture of finite…

Methodology · Statistics 2024-07-09 Gertraud Malsiner-Walli , Bettina Grün , Sylvia Frühwirth-Schnatter

Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting…

Methodology · Statistics 2019-08-29 Panagiotis Papastamoulis

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

Variation in the evolutionary process across the sites of nucleotide sequence alignments is well established, and is an increasingly pervasive feature of datasets composed of gene regions sampled from multiple loci and/or different genomes.…

Populations and Evolution · Quantitative Biology 2014-09-04 Brian R. Moore , Jim McGuire , Fredrik Ronquist , John P. Huelsenbeck

In model-based-clustering mixture models are used to group data points into clusters. A useful concept introduced for Gaussian mixtures by Malsiner Walli et al (2016) are sparse finite mixtures, where the prior distribution on the weight…

Methodology · Statistics 2018-08-23 Sylvia Frühwirth-Schnatter , Gertraud Malsiner-Walli

Prior distributions play a crucial role in Bayesian approaches to clustering. Two commonly-used prior distributions are the Dirichlet and Pitman-Yor processes. In this paper, we investigate the predictive probabilities that underlie these…

Methodology · Statistics 2010-10-18 Hanna M. Wallach , Shane T. Jensen , Lee Dicker , Katherine A. Heller

Finite mixture models are a useful statistical model class for clustering and density approximation. In the Bayesian framework finite mixture models require the specification of suitable priors in addition to the data model. These priors…

Methodology · Statistics 2024-07-09 Bettina Grün , Gertraud Malsiner-Walli

We discuss a Bayesian hierarchical copula model for clusters of financial time series. A similar approach has been developed in recent paper. However, the prior distributions proposed there do not always provide a proper posterior. In order…

Methodology · Statistics 2025-02-07 Paolo Onorati , Brunero Liseo

We present a Bayesian model for estimating the joint distribution of multivariate categorical data when units are nested within groups. Such data arise frequently in social science settings, for example, people living in households. The…

Methodology · Statistics 2016-10-31 Jingchen Hu , Jerome P. Reiter , Quanli Wang

There is an increasingly rich literature about Bayesian nonparametric models for clustering functional observations. However, most of the recent proposals rely on infinite-dimensional characterizations that might lead to overly complex…

Methodology · Statistics 2019-07-05 Tommaso Rigon

In this article, we consider the problem of clustering multi-view data, that is, information associated to individuals that form heterogeneous data sources (the views). We adopt a Bayesian model and in the prior structure we assume that…

Methodology · Statistics 2025-11-04 Andrea Cremaschi , Maria De Iorio , Garritt Page , Ajay Jasra

In economic development, there are often regions that share similar economic characteristics, and economic models on such regions tend to have similar covariate effects. In this paper, we propose a Bayesian clustered regression for…

Econometrics · Economics 2020-06-30 Zhihua Ma , Yishu Xue , Guanyu Hu

This paper presents a novel algorithm, based upon the dependent Dirichlet process mixture model (DDPMM), for clustering batch-sequential data containing an unknown number of evolving clusters. The algorithm is derived via a low-variance…

Machine Learning · Computer Science 2013-11-04 Trevor Campbell , Miao Liu , Brian Kulis , Jonathan P. How , Lawrence Carin

We introduce a new paradigm to investigate unsupervised learning, reducing unsupervised learning to supervised learning. Specifically, we mitigate the subjectivity in unsupervised decision-making by leveraging knowledge acquired from prior,…

Machine Learning · Computer Science 2017-01-04 Vikas K. Garg , Adam Tauman Kalai

The recently developed semi-parametric generalized linear model (SPGLM) offers more flexibility as compared to the classical GLM by including the baseline or reference distribution of the response as an additional parameter in the model.…

Methodology · Statistics 2024-04-09 Entejar Alam , Peter Müller , Paul J. Rathouz

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou
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