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In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

An efficient simulation-based methodology is proposed for the rolling window estimation of state space models, called particle rolling Markov chain Monte Carlo (MCMC) with double block sampling. In our method, which is based on Sequential…

统计计算 · 统计学 2021-09-17 Naoki Awaya , Yasuhiro Omori

The literature in social network analysis has largely focused on methods and models which require complete network data; however there exist many networks which can only be studied via sampling methods due to the scale or complexity of the…

应用统计 · 统计学 2019-11-25 Haema Nilakanta , Zack W. Almquist , Galin L. Jones

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

统计计算 · 统计学 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

We present an original simulation-based method to estimate likelihood ratios efficiently for general state-space models. Our method relies on a novel use of the conditional Sequential Monte Carlo (cSMC) algorithm introduced in…

统计方法学 · 统计学 2018-09-10 Sinan Yıldırım , Christophe Andrieu , Arnaud Doucet

This paper presents and discusses an implementation of a multiple target tracking method, which is able to deal with target interactions and prevent tracker failures due to hijacking. The referenced approach uses a Markov Chain Monte Carlo…

计算机视觉与模式识别 · 计算机科学 2021-11-29 Helder F. S. Campos , Nuno Paulino

Due to the escalating growth of big data sets in recent years, new Bayesian Markov chain Monte Carlo (MCMC) parallel computing methods have been developed. These methods partition large data sets by observations into subsets. However, for…

统计方法学 · 统计学 2019-01-21 Zheng Wei , Erin M. Conlon

We demonstrate the use of a variational method to determine a quantitative lower bound on the rate of convergence of Markov Chain Monte Carlo (MCMC) algorithms as a function of the target density and proposal density. The bound relies on…

数据分析、统计与概率 · 物理学 2013-05-29 Fergal P. Casey , Joshua J. Waterfall , Ryan N. Gutenkunst , Christopher R. Myers , James P. Sethna

We analyse the performance of a recursive Monte Carlo method for the Bayesian estimation of the static parameters of a discrete--time state--space Markov model. The algorithm employs two layers of particle filters to approximate the…

统计计算 · 统计学 2016-03-31 Dan Crisan , Joaquin Miguez

Convergence diagnosis for Markov chain Monte Carlo is a matter of fundamental importance in computational statistics: it determines the resources allocated to a particular sampling problem and influences the practitioner's view of the…

统计计算 · 统计学 2026-05-14 Buu Phan , Gergely Flamich , Ashish Khisti , Shahab Asoodeh

It is often assumed that events cannot occur simultaneously when modelling data with point processes. This raises a problem as real-world data often contains synchronous observations due to aggregation or rounding, resulting from…

统计方法学 · 统计学 2021-08-30 Leigh Shlomovich , Edward A. K. Cohen , Niall Adams

The problem of estimating the parameters of a moving target in multiple-input multiple-output (MIMO) radar is considered and a new approach for estimating the moving target parameters by making use of the phase information associated with…

信息论 · 计算机科学 2015-06-04 Aboulnasr Hassanien , Sergiy A. Vorobyov , Alex B. Gershman

Performing numerical integration when the integrand itself cannot be evaluated point-wise is a challenging task that arises in statistical analysis, notably in Bayesian inference for models with intractable likelihood functions. Markov…

统计计算 · 统计学 2020-06-17 Lawrence Middleton , George Deligiannidis , Arnaud Doucet , Pierre E. Jacob

Bayesian computation crucially relies on Markov chain Monte Carlo (MCMC) algorithms. In the case of massive data sets, running the Metropolis-Hastings sampler to draw from the posterior distribution becomes prohibitive due to the large…

统计计算 · 统计学 2015-12-07 Roberto Casarin , Radu V. Craiu , Fabrizio Leisen

In spite of the recent surge of interest in quantile regression, joint estimation of linear quantile planes remains a great challenge in statistics and econometrics. We propose a novel parametrization that characterizes any collection of…

统计方法学 · 统计学 2015-07-14 Yun Yang , Surya Tokdar

In this article we consider static Bayesian parameter estimation for partially observed diffusions that are discretely observed. We work under the assumption that one must resort to discretizing the underlying diffusion process, for…

统计计算 · 统计学 2017-01-23 Ajay Jasra , Kengo Kamatani , Kody J. H. Law , Yan Zhou

Missing values in covariates due to censoring by signal interference or lack of sensitivity in the measuring devices are common in industrial problems. We propose a full Bayesian solution to the prediction problem with an efficient Markov…

统计方法学 · 统计学 2022-01-21 Caroline Svahn , Mattias Villani

This paper is concerned with the problem of tracking single or multiple targets with multiple non-target specific observations (measurements). For such filtering problems with data association uncertainty, a novel feedback control-based…

概率论 · 数学 2014-04-18 Tao Yang , Prashant G. Mehta

Computational efficient evaluation of penalized estimators of multivariate exponential family distributions is sought. These distributions encompass among others Markov random fields with variates of mixed type (e.g. binary and continuous)…

统计方法学 · 统计学 2020-12-29 Diederik S. Laman Trip , Wessel N. van Wieringen

Particle MCMC involves using a particle filter within an MCMC algorithm. For inference of a model which involves an unobserved stochastic process, the standard implementation uses the particle filter to propose new values for the stochastic…

统计计算 · 统计学 2016-09-26 Paul Fearnhead , Loukia Meligkotsidou