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Feature allocation models are an extension of Bayesian nonparametric clustering models, where individuals can share multiple features. We study a broad class of models whose probability distribution has a product form, which includes the…

统计方法学 · 统计学 2025-11-12 Lorenzo Ghilotti , Federico Camerlenghi , Tommaso Rigon

Analyzing multivariate time series data is important to predict future events and changes of complex systems in finance, manufacturing, and administrative decisions. The expressiveness power of Gaussian Process (GP) regression methods has…

机器学习 · 统计学 2019-05-23 Anh Tong , Jaesik Choi

We study parameter inference in large-scale latent variable models. We first propose an unified treatment of online inference for latent variable models from a non-canonical exponential family, and draw explicit links between several…

机器学习 · 计算机科学 2018-02-01 Christophe Dupuy , Francis Bach

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

统计方法学 · 统计学 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

Gaussian graphical models have been used to study intrinsic dependence among several variables, but the Gaussianity assumption may be restrictive in many applications. A nonparanormal graphical model is a semiparametric generalization for…

统计方法学 · 统计学 2020-05-20 Jami J. Mulgrave , Subhashis Ghosal

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

统计方法学 · 统计学 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

We describe an adaptation of the simulated annealing algorithm to nonparametric clustering and related probabilistic models. This new algorithm learns nonparametric latent structure over a growing and constantly churning subsample of…

机器学习 · 统计学 2019-10-25 Fritz Obermeyer , Jonathan Glidden , Eric Jonas

Finite mixture models are frequently used to uncover latent structures in high-dimensional datasets (e.g.\ identifying clusters of patients in electronic health records). The inference of such structures can be performed in a Bayesian…

Scientific researchers utilize randomized experiments to draw casual statements. Most early studies as well as current work on experiments with sequential intervention decisions has been focusing on estimating the causal effects among…

统计方法学 · 统计学 2022-07-27 Jingying Zeng

Psychiatric disorders have been traditionally conceptualized as latent conditions producing observable symptoms, but recent studies suggest that psychopathology may emerge from symptoms interactions. Psychometric networking model these…

社会与信息网络 · 计算机科学 2026-04-27 Francesca Possenti , Laura Girelli , Paolo Tieri , Manuela Petti

Good large sample performance is typically a minimum requirement of any model selection criterion. This article focuses on the consistency property of the Bayes factor, a commonly used model comparison tool, which has experienced a recent…

统计理论 · 数学 2016-07-04 Siddhartha Chib , Todd A. Kuffner

In this paper, we present a novel approach to fitting mixture models based on estimating first the posterior distribution of the auxiliary variables that assign each observation to a group in the mixture. The posterior distributions of the…

统计计算 · 统计学 2017-12-29 Virgilio Gomez-Rubio

We build upon probabilistic models for Boolean Matrix and Boolean Tensor factorisation that have recently been shown to solve these problems with unprecedented accuracy and to enable posterior inference to scale to Billions of observation.…

机器学习 · 统计学 2019-07-02 Tammo Rukat , Christopher Yau

In this paper, we present the Bayesian inference procedures for the parameters of the multivariate random effects model derived under the assumption of an elliptically contoured distribution when the Berger and Bernardo reference and the…

统计方法学 · 统计学 2023-05-26 Olha Bodnar , Taras Bodnar

Graphical models are powerful tools for capturing conditional dependence structures in complex systems but remain underexplored in analyzing ordinal data, especially in sports analytics. Ordinal variables, such as team rankings, player…

统计方法学 · 统计学 2025-12-05 Wang Wen , Ziqi Chen , Guanyu Hu

We develop an efficient Bayesian sequential inference framework for factor analysis models observed via various data types, such as continuous, binary and ordinal data. In the continuous data case, where it is possible to marginalise over…

统计方法学 · 统计学 2022-01-28 Konstantinos Vamvourellis , Konstantinos Kalogeropoulos , Irini Moustaki

Cognitive diagnostic assessment aims to measure specific knowledge structures in students. To model data arising from such assessments, cognitive diagnostic models with discrete latent variables have gained popularity in educational and…

统计方法学 · 统计学 2023-08-25 Seunghyun Lee , Yuqi Gu

The Indian buffet process (IBP) and phylogenetic Indian buffet process (pIBP) can be used as prior models to infer latent features in a data set. The theoretical properties of these models are under-explored, however, especially in high…

应用统计 · 统计学 2019-09-23 Tong Li , Tianjian Zhou , Kam-Wah Tsui , Lin Wei , Yuan Ji

We introduce a probabilistic model with implicit norm regularization for learning nonnegative matrix factorization (NMF) that is commonly used for predicting missing values and finding hidden patterns in the data, in which the matrix…

机器学习 · 计算机科学 2022-08-23 Jun Lu , Christine P. Chai

Restricted Boltzmann Machines and Deep Belief Networks have been successfully used in probabilistic generative model applications such as image occlusion removal, pattern completion and motion synthesis. Generative inference in such…

神经与进化计算 · 计算机科学 2016-02-22 Ojash Neopane , Srinjoy Das , Ery Arias-Castro , Kenneth Kreutz-Delgado