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In the mixture modeling frame, this paper presents the polynomial Gaussian cluster-weighted model (CWM). It extends the linear Gaussian CWM, for bivariate data, in a twofold way. Firstly, it allows for possible nonlinear dependencies in the…

统计方法学 · 统计学 2012-07-05 Antonio Punzo

A model based clustering procedure for data of mixed type, clustMD, is developed using a latent variable model. It is proposed that a latent variable, following a mixture of Gaussian distributions, generates the observed data of mixed type.…

统计方法学 · 统计学 2015-11-06 Damien McParland , Isobel Claire Gormley

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,…

统计方法学 · 统计学 2013-08-06 Salvatore Ingrassia , Antonio Punzo

This paper investigates the computational and statistical limits in clustering matrix-valued observations. We propose a low-rank mixture model (LrMM), adapted from the classical Gaussian mixture model (GMM) to treat matrix-valued…

统计理论 · 数学 2023-06-08 Zhongyuan Lyu , Dong Xia

A collaborative filtering recommender system predicts user preferences by discovering common features among users and items. We implement such inference using a Bayesian double feature allocation model, that is, a model for random pairs of…

统计方法学 · 统计学 2022-02-03 Qiaohui Lin , Peter Mueller

We introduce a repulsive mixture model to cluster observation units represented by multivariate functional data, based on similarity of curve shapes and individual-specific covariates. We propose a repulsive prior distribution for the…

统计方法学 · 统计学 2026-03-10 Ricardo Cunha Pedroso , Fernando Andrés Quintana , Rosangela Helena Loschi

We present a new nonparametric mixture-of-experts model for multivariate regression problems, inspired by the probabilistic k-nearest neighbors algorithm. Using a conditionally specified model, predictions for out-of-sample inputs are based…

机器学习 · 统计学 2022-08-05 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

Finite mixture model is an important branch of clustering methods and can be applied on data sets with mixed types of variables. However, challenges exist in its applications. First, it typically relies on the EM algorithm which could be…

机器学习 · 统计学 2019-05-10 Shu Wang , Jonathan G. Yabes , Chung-Chou H. Chang

The explosion of multimedia data in information-rich environments has intensified the challenges of personalized content discovery, positioning recommendation systems as an essential form of passive data management. Multimodal sequential…

信息检索 · 计算机科学 2026-03-05 Jinfeng Xu , Zheyu Chen , Shuo Yang , Jinze Li , Hewei Wang , Yijie Li , Jianheng Tang , Yunhuai Liu , Edith C. H. Ngai

Bayesian Personalized Ranking (BPR) is a representative pairwise learning method for optimizing recommendation models. It is widely known that the performance of BPR depends largely on the quality of negative sampler. In this paper, we make…

信息检索 · 计算机科学 2018-09-24 Jingtao Ding , Guanghui Yu , Xiangnan He , Yong Li , Depeng Jin

In cluster analysis interest lies in probabilistically capturing partitions of individuals, items or observations into groups, such that those belonging to the same group share similar attributes or relational profiles. Bayesian posterior…

统计方法学 · 统计学 2017-03-23 Riccardo Rastelli , Nial Friel

In many practices, scientists are particularly interested in detecting which of the predictors are truly associated with a multivariate response. It is more accurate to model multiple responses as one vector rather than separating each…

统计方法学 · 统计学 2021-11-16 Xiaotian Dai , Guifang Fu , Randall Reese , Shaofei Zhao , Zuofeng Shang

We propose a novel nonparametric Bayesian IRT model in this paper by introducing the clustering effect at question level and further assume heterogeneity at examinee level under each question cluster, characterized by the mixture of…

统计方法学 · 统计学 2022-11-23 Tianyu Pan , Weining Shen , Clintin P. Davis-Stober , Guanyu Hu

This paper presents a natural extension of stagewise ranking to the the case of infinitely many items. We introduce the infinite generalized Mallows model (IGM), describe its properties and give procedures to estimate it from data. For…

机器学习 · 计算机科学 2012-06-18 Marina Meila , Le Bao

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

统计方法学 · 统计学 2025-02-28 M. E. J. Newman

Preference disaggregation methods in Multi-Criteria Decision-Making (MCDM) often encounter challenges related to inconsistency and cognitive biases when deriving a value function from experts' holistic preferences. This paper introduces the…

最优化与控制 · 数学 2025-05-19 Matteo Brunelli , Fuqi Liang , Jafar Rezaei

Clustering multivariate binary data is of interest in many scientific fields, including ecology, biomedicine, and social policy. Beyond heuristic clustering algorithms, such data can be modelled using multivariate Bernoulli mixture models.…

统计方法学 · 统计学 2026-04-24 Luisa Ferrari , Maria Franco Villoria , Garritt L. Page , Alex Laini

In microbiome studies, it is often of great interest to identify clusters or partitions of microbiome profiles within a study population and to characterize the distinctive attributes of each resulting microbial community. While raw counts…

统计方法学 · 统计学 2025-08-18 Zhongmao Liu , Xiaohui Yin , Yanjiao Zhou , Gen Li , Kun Chen

Divergence is not only an important mathematical concept in information theory, but also applied to machine learning problems such as low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection. We…

统计计算 · 统计学 2016-11-22 Kun Yang , Hao Su , Wing Hung Wong

We present a novel framework for concomitant dimension reduction and clustering. This framework is based on a novel class of Bayesian clustering factor models. These models assume a factor model structure where the vectors of common factors…

统计方法学 · 统计学 2025-05-09 Hwasoo Shin , Marco A. R. Ferreira , Allison N. Tegge