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We introduce semiparametric Bayesian networks that combine parametric and nonparametric conditional probability distributions. Their aim is to incorporate the advantages of both components: the bounded complexity of parametric models and…

机器学习 · 计算机科学 2021-09-08 David Atienza , Concha Bielza , Pedro Larrañaga

A general notion of bootstrapped $\phi$-divergence estimates constructed by exchangeably weighting sample is introduced. Asymptotic properties of these generalized bootstrapped $\phi$-divergence estimates are obtained, by mean of the…

统计理论 · 数学 2019-03-06 Salim Bouzebda , Mohamed Cherfi

Combining the outputs of multiple classifiers or experts into a single probabilistic classification is a fundamental task in machine learning with broad applications from classifier fusion to expert opinion pooling. Here we present a…

机器学习 · 计算机科学 2021-11-24 Susanne Trick , Constantin A. Rothkopf

Variational Bayes (VB) is rapidly becoming a popular tool for Bayesian inference in statistical modeling. However, the existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes the use of VB in many…

统计方法学 · 统计学 2016-08-05 Minh-Ngoc Tran , David J. Nott , Robert Kohn

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

定量方法 · 定量生物学 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

统计计算 · 统计学 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

We propose a Bayesian nonparametric model for mixed-type bounded data, where some variables are compositional and others are interval-bounded. Compositional variables are non-negative and sum to a given constant, such as the proportion of…

统计方法学 · 统计学 2025-03-13 Rufeng Liu , Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

Nested sampling (NS) computes parameter posterior distributions and makes Bayesian model comparison computationally feasible. Its strengths are the unsupervised navigation of complex, potentially multi-modal posteriors until a well-defined…

统计计算 · 统计学 2023-07-11 Johannes Buchner

We present a non-parametric Bayesian latent variable model capable of learning dependency structures across dimensions in a multivariate setting. Our approach is based on flexible Gaussian process priors for the generative mappings and…

机器学习 · 统计学 2018-07-16 Andrew R. Lawrence , Carl Henrik Ek , Neill D. F. Campbell

A wide range of Bayesian models have been proposed for data that is divided hierarchically into groups. These models aim to cluster the data at different levels of grouping, by assigning a mixture component to each datapoint, and a mixture…

机器学习 · 计算机科学 2015-04-21 Adway Mitra

This paper develops forecasting methodology and application of new classes of dynamic models for time series of non-negative counts. Novel univariate models synthesise dynamic generalized linear models for binary and conditionally Poisson…

统计方法学 · 统计学 2022-06-07 Lindsay Berry , Mike West

We propose a Bayesian approach to learn discriminative dictionaries for sparse representation of data. The proposed approach infers probability distributions over the atoms of a discriminative dictionary using a Beta Process. It also…

计算机视觉与模式识别 · 计算机科学 2015-03-30 Naveed Akhtar , Faisal Shafait , Ajmal Mian

In this paper, we introduce a novel Distributed Markov Chain Monte Carlo (MCMC) inference method for the Bayesian Non-Parametric Latent Block Model (DisNPLBM), employing the Master/Worker architecture. Our non-parametric co-clustering…

机器学习 · 统计学 2024-02-05 Reda Khoufache , Anisse Belhadj , Hanene Azzag , Mustapha Lebbah

Ensembles of neural networks (NNs) have long been used to estimate predictive uncertainty; a small number of NNs are trained from different initialisations and sometimes on differing versions of the dataset. The variance of the ensemble's…

机器学习 · 计算机科学 2018-11-30 Tim Pearce , Mohamed Zaki , Andy Neely

This paper presents a tractable model for analyzing non-coherent joint transmission base station (BS) cooperation, taking into account the irregular BS deployment typically encountered in practice. Besides cellular-network specific aspects…

信息论 · 计算机科学 2014-09-22 Ralph Tanbourgi , Sarabjot Singh , Jeffrey G. Andrews , Friedrich K. Jondral

Discrete Bayesian nonparametric models whose expectation is a convex linear combination of a point mass at some point of the support and a diffuse probability distribution allow to incorporate strong prior information, while still being…

统计理论 · 数学 2021-07-22 Antonio Canale , Antonio Lijoi , Bernardo Nipoti , Igor Prünster

We address the computational efficiency in solving the A-optimal Bayesian design of experiments problems for which the observational map is based on partial differential equations and, consequently, is computationally expensive to evaluate.…

数值分析 · 数学 2023-08-14 Vinh Hoang , Luis Espath , Sebastian Krumscheid , Raúl Tempone

We introduce a random partition model for Bayesian nonparametric regression. The model is based on infinitely-many disjoint regions of the range of a latent covariate-dependent Gaussian process. Given a realization of the process, the…

统计方法学 · 统计学 2013-01-04 George Karabatsos , Stephen G. Walker

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

统计方法学 · 统计学 2013-03-07 Cinzia Viroli

In this paper, we discuss the non-collapsibility concept and propose a new approach based on Dirichlet process mixtures to estimate the conditional effect of covariates in non-collapsible models. Using synthetic data, we evaluate the…

统计方法学 · 统计学 2018-07-09 Sepehr Akhavan Masouleh , Babak Shahbaba , Daniel L. Gillen
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