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This paper develops a novel hybrid approach for estimating the mixture model of $t$-factor analyzers (MtFA) that employs multivariate $t$-distribution and factor model to cluster and characterize grouped data. The traditional estimation…

统计方法学 · 统计学 2025-08-06 Kazeem Kareem , Fan Dai

A recent literature in econometrics models unobserved cross-sectional heterogeneity in panel data by assigning each cross-sectional unit a one-dimensional, discrete latent type. Such models have been shown to allow estimation and inference…

计量经济学 · 经济学 2020-01-31 Max Cytrynbaum

An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, e.g. students clustered in classes. For each subject, the latent process is…

应用统计 · 统计学 2012-02-21 Francesco Bartolucci , Fulvia Pennoni , Giorgio Vittadini

Multivariate time-dependent data, where multiple features are observed over time for a set of individuals, are increasingly widespread in many application domains. To model these data we need to account for relations among both time…

统计方法学 · 统计学 2021-04-08 Alessandro Casa , Charles Bouveyron , Elena Erosheva , Giovanna Menardi

Much of the data being created on the web contains interactions between users and items. Stochastic blockmodels, and other methods for community detection and clustering of bipartite graphs, can infer latent user communities and latent item…

机器学习 · 统计学 2015-05-26 J. Massey Cashore , Xiaoting Zhao , Alexander A. Alemi , Yujia Liu , Peter I. Frazier

Comparing clusterings is central to evaluating unsupervised models, yet the many existing similarity measures can produce widely divergent, sometimes contradictory, evaluations. Clustering similarity measures are typically organized into…

机器学习 · 统计学 2025-11-06 Alexander J. Gates

Relative abundance is a common metric to estimate the composition of species in ecological surveys reflecting patterns of commonness and rarity of biological assemblages. Measurements of coral reef compositions formed by four communities…

应用统计 · 统计学 2021-05-06 Luiza Piancastelli , Nial Friel , Julie Vercelloni , Kerrie Mengersen , Antonietta Mira

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…

统计方法学 · 统计学 2024-06-04 Lorenzo Ghilotti , Mario Beraha , Alessandra Guglielmi

A model-based approach is developed for clustering categorical data with no natural ordering. The proposed method exploits the Hamming distance to define a family of probability mass functions to model the data. The elements of this family…

统计方法学 · 统计学 2024-07-02 Raffaele Argiento , Edoardo Filippi-Mazzola , Lucia Paci

Determining the number of clusters is a central challenge in unsupervised learning, where ground-truth labels are unavailable. The Silhouette coefficient is a widely used internal validation metric for this task, yet its standard…

机器学习 · 计算机科学 2026-04-16 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

Improving health in the most disadvantaged populations requires reliable estimates of health and demographic indicators to inform policy and interventions. Low- and middle-income countries with the largest burden of disease and disability…

统计方法学 · 统计学 2025-11-21 Austin E Schumacher , Jon Wakefield

Modeling species abundance patterns using local environmental features is an important, current problem in ecology. The Cape Floristic Region (CFR) in South Africa is a global hot spot of diversity and endemism, and provides a rich class of…

Model-based clustering is widely used for identifying and distinguishing types of diseases. However, modern biomedical data coming with high dimensions make it challenging to perform the model estimation in traditional cluster analysis. The…

统计方法学 · 统计学 2025-07-22 Kazeem Kareem , Fan Dai

In a wide variety of situations, anomalies in the behaviour of a complex system, whose health is monitored through the observation of a random vector X = (X1,. .. , X d) valued in R d , correspond to the simultaneous occurrence of extreme…

统计方法学 · 统计学 2019-07-18 Maël Chiapino , Stéphan Clémençon , Vincent Feuillard , Anne Sabourin

In the framework of model-based clustering, a model allowing several latent class variables is proposed. This model assumes that the distribution of the observed data can be factorized into several independent blocks of variables. Each…

统计方法学 · 统计学 2018-01-23 Matthieu Marbac , Vincent Vandewalle

We investigate the parameter estimation of regression models with fixed group effects, when the group variable is missing while group related variables are available. This problem involves clustering to infer the missing group variable…

统计方法学 · 统计学 2020-12-29 Matthieu Marbac , Mohammed Sedki , Christophe Biernacki , Vincent Vandewalle

Multivariate data that combine binary, categorical, count and continuous outcomes are common in the social and health sciences. We propose a semiparametric Bayesian latent variable model for multivariate data of arbitrary type that does not…

应用统计 · 统计学 2014-01-14 Jonathan Gruhl , Elena A. Erosheva , Paul K. Crane

We present an approach for imputation of missing items in multivariate categorical data nested within households. The approach relies on a latent class model that (i) allows for household level and individual level variables, (ii) ensures…

统计方法学 · 统计学 2018-07-05 Olanrewaju Akande , Jerome Reiter , Andrés F. Barrientos

We study the large sample behavior of a convex clustering framework, which minimizes the sample within cluster sum of squares under an~$\ell_1$ fusion constraint on the cluster centroids. This recently proposed approach has been gaining in…

统计方法学 · 统计学 2016-12-30 Peter Radchenko , Gourab Mukherjee

Censuses are fundamental building blocks of most modern-day societies, yet collected every ten years at best. We propose an extension of the widely popular census updating technique Structure Preserving Estimation by incorporating auxiliary…

应用统计 · 统计学 2022-03-24 Till Koebe , Alejandra Arias-Salazar , Natalia Rojas-Perilla , Timo Schmid