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We develop a structural framework for modeling and inferring unobserved heterogeneity in dynamic panel-data models. Unlike methods treating clustering as a descriptive device, we model heterogeneity as arising from a latent clustering…

Econometrics · Economics 2025-10-29 Jean-Pierre Florens , Anna Simoni

The Latent Block Model (LBM) is a prominent model-based co-clustering method, returning parametric representations of each block cluster and allowing the use of well-grounded model selection methods. The LBM, while adapted in literature to…

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

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

This chapter investigates the latent structure of bipartite networks via a model-based clustering approach which is able to capture both latent groups of sending nodes and latent variability of the propensity of sending nodes to create…

Applications · Statistics 2019-07-19 Isabella Gollini

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

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

Joint alignment of a collection of functions is the process of independently transforming the functions so that they appear more similar to each other. Typically, such unsupervised alignment algorithms fail when presented with complex data…

Machine Learning · Computer Science 2012-10-19 Marwan A. Mattar , Allen R. Hanson , Erik G. Learned-Miller

We consider grouping as a general characterization for problems such as clustering, community detection in networks, and multiple parametric model estimation. We are interested in merging solutions from different grouping algorithms,…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Mariano Tepper , Guillermo Sapiro

Biclustering is used for simultaneous clustering of the observations and variables when there is no group structure known \textit{a priori}. It is being increasingly used in bioinformatics, text analytics, etc. Previously, biclustering has…

Methodology · Statistics 2020-09-14 Wangshu Tu , Sanjeena Subedi

Bayesian non-parametric methods based on Dirichlet process mixtures have seen tremendous success in various domains and are appealing in being able to borrow information by clustering samples that share identical parameters. However, such…

Methodology · Statistics 2022-07-04 Suprateek Kundu , Joshua Lukemire

We consider the problem of analyzing the heterogeneity of clustering distributions for multiple groups of observed data, each of which is indexed by a covariate value, and inferring global clusters arising from observations aggregated over…

Methodology · Statistics 2012-12-06 XuanLong Nguyen

Clustering is an essential problem in machine learning and data mining. One vital factor that impacts clustering performance is how to learn or design the data representation (or features). Fortunately, recent advances in deep learning can…

Machine Learning · Computer Science 2015-01-14 Gang Chen

The focus of this work is on developing probabilistic models for user activity in social networks by incorporating the social network influence as perceived by the user. For this, we propose a coupled Hidden Markov Model, where each user's…

Physics and Society · Physics 2013-05-10 Vasanthan Raghavan , Greg Ver Steeg , Aram Galstyan , Alexander G. Tartakovsky

In a regression analysis, suppose we suspect that there are several heterogeneous groups in the population that a sample represents. Mixture regression models have been applied to address such problems. By modeling the conditional…

Methodology · Statistics 2013-07-02 Toshiya Hoshikawa

A network has a non-overlapping community structure if the nodes of the network can be partitioned into disjoint sets such that each node in a set is densely connected to other nodes inside the set and sparsely connected to the nodes out-…

Social and Information Networks · Computer Science 2016-07-19 Talasila Sai Deepak , Hindol Adhya , Shyamal Kejriwal , Bhanuteja Gullapalli , Saswata Shannigrahi

The growing popularity of social media (e.g, Twitter) allows users to easily share information with each other and influence others by expressing their own sentiments on various subjects. In this work, we propose an unsupervised…

Social and Information Networks · Computer Science 2014-06-13 Linhong Zhu , Aram Galstyan , James Cheng , Kristina Lerman

A new statistical based model approach to characterize a user's behavior in an Internet access link is presented. The real patterns of Internet traffic in a heterogeneous Campus Network are studied. We find three clearly different patterns…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carmen Pellicer-Lostao , Daniel Morato , Ricardo Lopez-Ruiz

Heterogeneity has been a hot topic in recent educational literature. Several calls have been voiced to adopt methods that capture different patterns or subgroups within students behavior or functioning. Assuming that there is an average…

Methodology · Statistics 2023-06-13 Luca Scrucca , Mohammed Saqr , Sonsoles López-Pernas , Keefe Murphy

We are concerned in clustering continuous data sets subject to non-ignorable missingness. We perform clustering with a specific semi-parametric mixture, under the assumption of conditional independence given the component. The mixture model…

Methodology · Statistics 2021-07-20 Marie Du Roy de Chaumaray , Matthieu Marbac