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Hamiltonian Monte Carlo is a prominent Markov Chain Monte Carlo algorithm, which employs symplectic integrators to sample from high dimensional target distributions in many applications, such as statistical mechanics, Bayesian statistics…

数值分析 · 数学 2025-02-13 Geoffrey McGregor , Andy T. S. Wan

Bayesian max-margin models have shown superiority in various practical applications, such as text categorization, collaborative prediction, social network link prediction and crowdsourcing, and they conjoin the flexibility of Bayesian…

机器学习 · 统计学 2016-10-19 Wenbo Hu , Jun Zhu , Bo Zhang

With the recently increased interest in probabilistic models, the efficiency of an underlying sampler becomes a crucial consideration. Hamiltonian Monte Carlo (HMC) is one popular option for models of this kind. Performance of the method,…

Hamiltonian Monte Carlo (HMC) is a powerful tool for Bayesian computation. In comparison with the traditional Metropolis-Hastings algorithm, HMC offers greater computational efficiency, especially in higher dimensional or more complex…

统计计算 · 统计学 2020-12-21 Samuel Thomas , Wanzhu Tu

Gaussian latent variable models are a key class of Bayesian hierarchical models with applications in many fields. Performing Bayesian inference on such models can be challenging as Markov chain Monte Carlo algorithms struggle with the…

统计计算 · 统计学 2020-11-09 Charles C. Margossian , Aki Vehtari , Daniel Simpson , Raj Agrawal

The prediction interval has been increasingly used in meta-analyses as a useful measure for assessing the magnitude of treatment effect and between-studies heterogeneity. In calculations of the prediction interval, although the…

统计方法学 · 统计学 2021-07-14 Yuta Hamaguchi , Hisashi Noma , Kengo Nagashima , Tomohide Yamada , Toshi A. Furukawa

Hamiltonian Monte Carlo (HMC) is an efficient Bayesian sampling method that can make distant proposals in the parameter space by simulating a Hamiltonian dynamical system. Despite its popularity in machine learning and data science, HMC is…

机器学习 · 统计学 2020-09-02 Ziming Liu , Zheng Zhang

This paper deals with some computational aspects in the Bayesian analysis of statistical models with intractable normalizing constants. In the presence of intractable normalizing constants in the likelihood function, traditional MCMC…

统计计算 · 统计学 2008-04-22 Yves Atchade , Nicolas Lartillot , Christian P. Robert

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

When the data do not conform to the hypothesis of a known sampling-variance, the fitting of a constant to a set of measured values is a long debated problem. Given the data, fitting would require to find what measurand value is the most…

数据分析、统计与概率 · 物理学 2020-07-21 Giovanni Mana , Enrico Massa , Maria Predescu

This article presents an approach to Bayesian semiparametric inference for Gaussian multivariate response regression. We are motivated by various small and medium dimensional problems from the physical and social sciences. The statistical…

统计方法学 · 统计学 2020-06-18 Georgios Papageorgiou , Benjamin C. Marshall

BACKGROUND: Random-effects meta-analysis within a hierarchical normal modeling framework is commonly implemented in a wide range of evidence synthesis applications. More general problems may even be tackled when considering meta-regression…

统计计算 · 统计学 2022-12-27 Christian Röver , Tim Friede

In this paper we address the widely-experienced difficulty in tuning Hamiltonian-based Monte Carlo samplers. We develop an algorithm that allows for the adaptation of Hamiltonian and Riemann manifold Hamiltonian Monte Carlo samplers using…

统计计算 · 统计学 2013-02-26 ziyu wang , Shakir Mohamed , Nando de Freitas

Implementing Bayesian variable selection for linear Gaussian regression models for analysing high dimensional data sets is of current interest in many fields. In order to make such analysis operational, we propose a new sampling algorithm…

统计计算 · 统计学 2010-02-16 Leonardo Bottolo , Sylvia Richardson

Our goal is to develop a Bayesian model averaging technique in linear regression models that accommodates heavier tailed error densities than the normal distribution. Motivated by the use of the Huber loss function in the presence of…

统计方法学 · 统计学 2024-11-26 Shamriddha De , Joyee Ghosh

In many practical applications, regression models are employed to uncover relationships between predictors and a response variable, yet the common assumption of constant error variance is frequently violated. This issue is further…

统计方法学 · 统计学 2025-02-05 Masanari Kimura

We study Bayesian linear regression models with skew-symmetric scale mixtures of normal error distributions. These kinds of models can be used to capture departures from the usual assumption of normality of the errors in terms of heavy…

应用统计 · 统计学 2016-01-12 Francisco J. Rubio , Marc G. Genton

We propose a novel Bayesian approach to the problem of variable selection in multiple linear regression models. In particular, we present a hierarchical setting which allows for direct specification of a-priori beliefs about the number of…

统计计算 · 统计学 2019-03-14 Konstantin Posch , Maximilian Arbeiter , Jürgen Pilz

The multivariate normal linear model is one of the most widely employed models for statistical inference in applied research. Special cases include (multivariate) t testing, (M)AN(C)OVA, (multivariate) multiple regression, and repeated…

统计方法学 · 统计学 2021-03-15 J. Mulder , H. Hoijtink , X. Gu

Robots rely on motion planning to navigate safely and efficiently while performing various tasks. In this paper, we investigate motion planning through Bayesian inference, where motion plans are inferred based on planning objectives and…

机器人学 · 计算机科学 2025-06-02 Ali Vaziri , Iman Askari , Huazhen Fang