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Related papers: Robust Model-Based Clustering of Voting Records

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Discrete data such as counts of microbiome taxa resulting from next-generation sequencing are routinely encountered in bioinformatics. Taxa count data in microbiome studies are typically high-dimensional, over-dispersed, and can only reveal…

Methodology · Statistics 2022-06-23 Yuan Fang , Sanjeena Subedi

A mixture of multivariate contaminated normal (MCN) distributions is a useful model-based clustering technique to accommodate data sets with mild outliers. However, this model only works when fitted to complete data sets, which is often not…

Methodology · Statistics 2020-12-11 Hung Tong , Cristina Tortora

Understanding political phenomena requires measuring the political preferences of society. We introduce a model based on mixtures of spatial voting models that infers the underlying distribution of political preferences of voters with only…

Computers and Society · Computer Science 2016-10-27 Alison Nahm , Alex Pentland , Peter Krafft

Mixed membership models are an extension of finite mixture models, where each observation can partially belong to more than one mixture component. A probabilistic framework for mixed membership models of high-dimensional continuous data is…

This paper addresses challenges in flexibly modeling multimodal data that lie on constrained spaces. Such data are commonly found in spatial applications, such as climatology and criminology, where measurements are restricted to a…

Computation · Statistics 2019-12-03 Putu Ayu Sudyanti , Vinayak Rao

We consider a finite mixture of Gaussian regression model for high- dimensional data, where the number of covariates may be much larger than the sample size. We propose to estimate the unknown conditional mixture density by a maximum…

Statistics Theory · Mathematics 2014-09-05 Emilie Devijver

We develop a mixture-based approach to robust density modeling and outlier detection for experimental multivariate data that includes measurement error information. Our model is designed to infer atypical measurements that are not due to…

Astrophysics · Physics 2007-09-07 Jianyong Sun , Ata Kaban , Somak Raychaudhury

We develop a general method for estimating a finite mixture of non-normalized models. Here, a non-normalized model is defined to be a parametric distribution with an intractable normalization constant. Existing methods for estimating…

Machine Learning · Statistics 2021-09-01 Takeru Matsuda , Aapo Hyvarinen

The mixture models have become widely used in clustering, given its probabilistic framework in which its based, however, for modern databases that are characterized by their large size, these models behave disappointingly in setting out the…

Machine Learning · Statistics 2017-02-01 Abdelghafour Talibi , Boujemâa Achchab , Rafik Lasri

Recent interest in human dynamics has stimulated the investigation of the stochastic processes that explain human behaviour in various contexts, such as mobile phone networks and social media. In this paper, we extend the stochastic…

Physics and Society · Physics 2016-03-23 Trevor Fenner , Mark Levene , George Loizou

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…

Methodology · Statistics 2018-01-23 Matthieu Marbac , Vincent Vandewalle

In this study, we consider unsupervised clustering of categorical vectors that can be of different size using mixture. We use likelihood maximization to estimate the parameters of the underlying mixture model and a penalization technique to…

Statistics Theory · Mathematics 2017-09-08 Esther Derman , Erwan Le Pennec

A mixture of multivariate Poisson-log normal factor analyzers is introduced by imposing constraints on the covariance matrix, which resulted in flexible models for clustering purposes. In particular, a class of eight parsimonious mixture…

Methodology · Statistics 2023-11-15 Andrea Payne , Anjali Silva , Steven J. Rothstein , Paul D. McNicholas , Sanjeena Subedi

We introduce a new approach to a linear-circular regression problem that relates multiple linear predictors to a circular response. We follow a modeling approach of a wrapped normal distribution that describes angular variables and angular…

Methodology · Statistics 2019-09-17 Ali Esmaieeli Sikaroudi , Chiwoo Park

Probabilistic clustering models (or equivalently, mixture models) are basic building blocks in countless statistical models and involve latent random variables over discrete spaces. For these models, posterior inference methods can be…

Machine Learning · Statistics 2020-06-24 Ari Pakman , Yueqi Wang , Catalin Mitelut , JinHyung Lee , Liam Paninski

We consider a discrete latent variable model for two-way data arrays, which allows one to simultaneously produce clusters along one of the data dimensions (e.g. exchangeable observational units or features) and contiguous groups, or…

Assuming an exponential power distribution is one way to deal with outliers in regression and clustering, which can increase the robustness of the analysis. Gaussian distribution is a special case of an exponential distribution. And an…

Methodology · Statistics 2020-12-22 Xiao Chen

Latent factor models are widely used in the social and behavioral science as scaling tools to map discrete multivariate outcomes into low dimensional, continuous scales. In political science, dynamic versions of classical factor models have…

Applications · Statistics 2026-01-28 Rayleigh Lei , Abel Rodriguez

The cluster-weighted model (CWM) is a mixture model with random covariates which allows for flexible clustering and density estimation of a random vector composed by a response variable and by a set of covariates. In this class of models,…

Methodology · Statistics 2013-08-06 Salvatore Ingrassia , Antonio Punzo

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…