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Three-way data structures, characterized by three entities, the units, the variables and the occasions, are frequent in biological studies. In RNA sequencing, three-way data structures are obtained when high-throughput transcriptome…

统计方法学 · 统计学 2022-06-22 Anjali Silva , Steven J. Rothstein , Paul D. McNicholas , Xiaoke Qin , Sanjeena Subedi

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…

统计方法学 · 统计学 2024-07-09 Bettina Grün , Gertraud Malsiner-Walli

Factor analysis for high-dimensional data is a canonical problem in statistics and has a wide range of applications. However, there is currently no factor model tailored to effectively analyze high-dimensional count responses with…

统计方法学 · 统计学 2024-08-21 Wei Liu , Qingzhi Zhong

Mixture models are flexible tools in density estimation and classification problems. Bayesian estimation of such models typically relies on sampling from the posterior distribution using Markov chain Monte Carlo. Label switching arises…

应用统计 · 统计学 2014-03-11 Wanchuang Zhu , Yanan Fan

Conventional survival analysis methods are typically ineffective to characterize heterogeneity in the population while such information can be used to assist predictive modeling. In this study, we propose a hybrid survival analysis method,…

机器学习 · 计算机科学 2024-04-09 Bojian Hou , Hongming Li , Zhicheng Jiao , Zhen Zhou , Hao Zheng , Yong Fan

Normalizing flows are objects used for modeling complicated probability density functions, and have attracted considerable interest in recent years. Many flexible families of normalizing flows have been developed. However, the focus to date…

统计方法学 · 统计学 2023-01-18 Tin Lok James Ng , Andrew Zammit-Mangion

The problem of complex data analysis is a central topic of modern statistical science and learning systems and is becoming of broader interest with the increasing prevalence of high-dimensional data. The challenge is to develop statistical…

机器学习 · 统计学 2018-03-05 Faicel Chamroukhi , Hien D. Nguyen

This paper proposes factor stochastic volatility models with skew error distributions. The generalized hyperbolic skew t-distribution is employed for common-factor processes and idiosyncratic shocks. Using a Bayesian sparsity modeling…

统计方法学 · 统计学 2019-03-27 Jouchi Nakajima

For exchangeable data, mixture models are an extremely useful tool for density estimation due to their attractive balance between smoothness and flexibility. When additional covariate information is present, mixture models can be extended…

统计方法学 · 统计学 2023-08-01 Sara Wade , Vanda Inacio , Sonia Petrone

In mixture model-based clustering applications, it is common to fit several models from a family and report clustering results from only the `best' one. In such circumstances, selection of this best model is achieved using a model selection…

统计方法学 · 统计学 2017-10-09 Yuhong Wei , Paul D. McNicholas

The mixed effects model for repeated measures (MMRM) has been widely used for the analysis of longitudinal clinical data collected at a number of fixed time points. We propose a robust extension of the MMRM for skewed and heavy-tailed data…

统计方法学 · 统计学 2019-08-12 Yongqiang Tang

Finite mixture models have been widely used for the modelling and analysis of data from heterogeneous populations. Maximum likelihood estimation of the parameters is typically carried out via the Expectation-Maximization (EM) algorithm. The…

统计计算 · 统计学 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

In this paper we propose a mixture model, SparseMix, for clustering of sparse high dimensional binary data, which connects model-based with centroid-based clustering. Every group is described by a representative and a probability…

机器学习 · 计算机科学 2017-07-12 Marek Śmieja , Krzysztof Hajto , Jacek Tabor

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

机器学习 · 计算机科学 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

概率论 · 数学 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

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

Model-based clustering is a technique widely used to group a collection of units into mutually exclusive groups. There are, however, situations in which an observation could in principle belong to more than one cluster. In the context of…

应用统计 · 统计学 2016-05-13 Saverio Ranciati , Cinzia Viroli , Ernst Wit

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

With the advent of ubiquitous monitoring and measurement protocols, studies have started to focus more and more on complex, multivariate and heterogeneous datasets. In such studies, multivariate response variables are drawn from a…

统计方法学 · 统计学 2023-03-03 Saverio Ranciati , Veronica Vinciotti , Ernst C. Wit , Giuliano Galimberti

In this paper, we comment on the recent comparison in Azzalini et al. (2014) of two different distributions proposed in the literature for the modelling of data that have asymmetric and possibly long-tailed clusters. They are referred to as…

统计方法学 · 统计学 2014-04-08 Geoffrey J. McLachlan , Sharon X. Lee