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We develop a Bayesian framework for tackling the supervised clustering problem, the generic problem encountered in tasks such as reference matching, coreference resolution, identity uncertainty and record linkage. Our clustering model is…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

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

Bayesian nonparametric mixture models are common for modeling complex data. While these models are well-suited for density estimation, recent results proved posterior inconsistency of the number of clusters when the true number of…

Statistics Theory · Mathematics 2024-05-31 Louise Alamichel , Daria Bystrova , Julyan Arbel , Guillaume Kon Kam King

Unsupervised clustering, also known as natural clustering, stands for the classification of data according to their similarities. Here we study this problem from the perspective of complex networks. Mapping the description of data…

Data Analysis, Statistics and Probability · Physics 2012-08-22 Clara Granell , Sergio Gomez , Alex Arenas

Dirichlet process mixtures are flexible non-parametric models, particularly suited to density estimation and probabilistic clustering. In this work we study the posterior distribution induced by Dirichlet process mixtures as the sample size…

Statistics Theory · Mathematics 2022-11-29 Filippo Ascolani , Antonio Lijoi , Giovanni Rebaudo , Giacomo Zanella

In many real life problems, objects are described by large number of binary features. For instance, documents are characterized by presence or absence of certain keywords; cancer patients are characterized by presence or absence of certain…

Applications · Statistics 2016-03-09 Tapesh Santra

Forecast combination integrates information from various sources by consolidating multiple forecast results from the target time series. Instead of the need to select a single optimal forecasting model, this paper introduces a deep learning…

Machine Learning · Computer Science 2023-11-27 Yinuo Ren , Feng Li , Yanfei Kang , Jue Wang

Unsupervised machine learning, and in particular data clustering, is a powerful approach for the analysis of datasets and identification of characteristic features occurring throughout a dataset. It is gaining popularity across scientific…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Maria El Abbassi , Jan Overbeck , Oliver Braun , Michel Calame , Herre S. J. van der Zant , Mickael L. Perrin

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

Clustering is a fundamental task in unsupervised learning. The focus of this paper is the Correlation Clustering functional which combines positive and negative affinities between the data points. The contribution of this paper is two fold:…

Computer Vision and Pattern Recognition · Computer Science 2011-12-14 Shai Bagon , Meirav Galun

Nonparametric Bayesian approaches provide a flexible framework for clustering without pre-specifying the number of groups, yet they are well known to overestimate the number of clusters, especially for functional data. We show that a…

Methodology · Statistics 2025-10-21 Fumiya Iwashige , Tomoya Wakayama , Shonosuke Sugasawa , Shintaro Hashimoto

Clustering has become a core technology in machine learning, largely due to its application in the field of unsupervised learning, clustering, classification, and density estimation. A frequentist approach exists to hand clustering based on…

Machine Learning · Computer Science 2021-08-27 Jun Lu

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

Methodology · Statistics 2025-02-28 M. E. J. Newman

Multi-task learning leverages shared information among data sets to improve the learning performance of individual tasks. The paper applies this framework for data where each task is a phase-shifted periodic time series. In particular, we…

Machine Learning · Computer Science 2015-03-20 Yuyang Wang , Roni Khardon , Pavlos Protopapas

Mixture models are one of the most widely used statistical tools when dealing with data from heterogeneous populations. This paper considers the long-standing debate over finite mixture and infinite mixtures and brings the two modelling…

Methodology · Statistics 2019-04-23 Raffaele Argiento , Maria De Iorio

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 study Bayesian estimation of finite mixture models in a general setup where the number of components is unknown and allowed to grow with the sample size. An assumption on growing number of components is a natural one as the degree of…

Statistics Theory · Mathematics 2022-03-18 Ilsang Ohn , Lizhen Lin

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

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

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

Methodology · Statistics 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo
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