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Combining predictions from different models is a central problem in Bayesian inference and machine learning more broadly. Currently, these predictive distributions are almost exclusively combined using linear mixtures such as Bayesian model…

机器学习 · 统计学 2023-05-15 Yuling Yao , Luiz Max Carvalho , Diego Mesquita , Yann McLatchie

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

统计方法学 · 统计学 2025-05-16 Luca Scrucca

The latent position cluster model is a popular model for the statistical analysis of network data. This approach assumes that there is an underlying latent space in which the actors follow a finite mixture distribution. Moreover, actors…

统计计算 · 统计学 2013-08-23 Nial Friel , Caitriona Ryan , Jason Wyse

Prior probabilities of clinical hypotheses are not systematically used for clinical trial design yet, due to a concern that poor priors may lead to poor decisions. To address this concern, a conservative approach to Bayesian trial design is…

统计方法学 · 统计学 2023-09-21 Fabio Rigat

Power and sample size analysis comprises a critical component of clinical trial study design. There is an extensive collection of methods addressing this problem from diverse perspectives. The Bayesian paradigm, in particular, has attracted…

统计方法学 · 统计学 2021-12-08 Jane Pan , Sudipto Banerjee

Bayesian coresets have emerged as a promising approach for implementing scalable Bayesian inference. The Bayesian coreset problem involves selecting a (weighted) subset of the data samples, such that the posterior inference using the…

机器学习 · 统计学 2021-03-01 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

统计方法学 · 统计学 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Galaxy clusters exhibit heterogeneity in their pressure profiles, even after rescaling, highlighting the need for adequately sized samples to accurately capture variations across the cluster population. We present a Bayesian hierarchical…

宇宙学与河外天体物理 · 物理学 2025-10-15 Fabio Castagna , Stefano Andreon , Marco Landoni , Alberto Trombetta

Catalytic prior distributions provide general, easy-to-use, and interpretable specifications of prior distributions for Bayesian analysis. They are particularly beneficial when the observed data are inadequate to stably estimate a complex…

统计方法学 · 统计学 2023-09-25 Dongming Huang , Feicheng Wang , Donald B. Rubin , S. C. Kou

Clustering of proteins is of interest in cancer cell biology. This article proposes a hierarchical Bayesian model for protein (variable) clustering hinging on correlation structure. Starting from a multivariate normal likelihood, we enforce…

统计计算 · 统计学 2022-02-09 Riddhi Pratim Ghosh , Arnab Kumar Maity , Mohsen Pourahmadi , Bani K. Mallick

We show how observations of the evolution of the galaxy cluster number abundance can be used to constrain primordial non-Gaussianity in the universe. We carry out a maximum likelihood analysis incorporating a number of current datasets and…

天体物理学 · 物理学 2009-10-31 James Robinson , Eric Gawiser , Joseph Silk

This chapter reviews the application of Artificial Intelligence (AI) techniques to the study of galaxy clusters, covering both theoretical developments and their use as tools to infer cluster properties from a variety of observational…

宇宙学与河外天体物理 · 物理学 2026-05-22 Gustavo Yepes , Daniel de Andrés

Cameron {\it et al.}~2019 (hereafter C19) recommends a more cautious and rigorous approach to statistical analysis in astronomy. We welcome this particular side of their communication as it helps stimulating the effort towards the adoption…

星系天体物理 · 物理学 2020-02-11 Davi C. Rodrigues , Valerio Marra , Antonino Del Popolo , Zahra Davari

We formulate weighted graph clustering as a prediction problem: given a subset of edge weights we analyze the ability of graph clustering to predict the remaining edge weights. This formulation enables practical and theoretical comparison…

机器学习 · 计算机科学 2010-09-03 Yevgeny Seldin

In cluster analysis, it can be useful to interpret the partition built from the data in the light of external categorical variables which were not directly involved to cluster the data. An approach is proposed in the model-based clustering…

The article contains a preliminary glance at balanced clustering problems. Basic balanced structures and combinatorial balanced problems are briefly described. A special attention is targeted to various balance/unbalance indices (including…

数据结构与算法 · 计算机科学 2017-06-13 Mark Sh. Levin

Discrete choice experiments are frequently used to quantify consumer preferences by having respondents choose between different alternatives. Choice experiments involving mixtures of ingredients have been largely overlooked in the…

统计方法学 · 统计学 2021-09-15 Mario Becerra , Peter Goos

A good clustering can help a data analyst to explore and understand a data set, but what constitutes a good clustering may depend on domain-specific and application-specific criteria. These criteria can be difficult to formalize, even when…

机器学习 · 统计学 2016-06-09 Akash Srivastava , James Zou , Charles Sutton

This paper introduces a privacy-aware Bayesian approach that combines ensembles of classifiers and clusterers to perform semi-supervised and transductive learning. We consider scenarios where instances and their classification/clustering…

机器学习 · 计算机科学 2012-04-23 Ayan Acharya , Eduardo R. Hruschka , Joydeep Ghosh

Bayesian model-based clustering is a widely applied procedure for discovering groups of related observations in a dataset. These approaches use Bayesian mixture models, estimated with MCMC, which provide posterior samples of the model…

统计方法学 · 统计学 2018-09-24 Ketong Wang , Michael D. Porter