中文
相关论文

相关论文: Optimal proposals for Approximate Bayesian Computa…

200 篇论文

A Monte Carlo algorithm is said to be adaptive if it automatically calibrates its current proposal distribution using past simulations. The choice of the parametric family that defines the set of proposal distributions is critical for good…

统计理论 · 数学 2011-11-11 Christian Schäfer , Nicolas Chopin

We propose a novel use of a recent new computational tool for Bayesian inference, namely the Approximate Bayesian Computation (ABC) methodology. ABC is a way to handle models for which the likelihood function may be intractable or even…

统计计算 · 统计学 2014-03-04 Clara Grazian , Brunero Liseo

The Markov Chain Monte Carlo method is the dominant paradigm for posterior computation in Bayesian analysis. It is common to control computation time by making approximations to the Markov transition kernel. Comparatively little attention…

统计计算 · 统计学 2017-08-30 James E. Johndrow , Jonathan C. Mattingly , Sayan Mukherjee , David Dunson

Approximate Bayesian Computation (ABC) can be viewed as an analytic approximation of an intractable likelihood coupled with an elementary simulation step. Such a view, combined with a suitable instrumental prior distribution permits…

统计方法学 · 统计学 2013-01-04 F. J. Rubio , Adam M. Johansen

Composite likelihood provides approximate inference when the full likelihood is intractable and sub-likelihood functions of marginal events can be evaluated relatively easily. It has been successfully applied for many complex models.…

统计方法学 · 统计学 2024-09-05 Wentao Li , Rosabeth White , Dennis Prangle

To infer the parameters of mechanistic models with intractable likelihoods, techniques such as approximate Bayesian computation (ABC) are increasingly being adopted. One of the main disadvantages of ABC in practical situations, however, is…

统计计算 · 统计学 2018-08-03 Jonathan U Harrison , Ruth E Baker

We consider the problem of optimizing a real-valued continuous function $f$ using a Bayesian approach, where the evaluations of $f$ are chosen sequentially by combining prior information about $f$, which is described by a random process…

最优化与控制 · 数学 2011-11-22 Romain Benassi , Julien Bect , Emmanuel Vazquez

Approximate Bayesian Computation (ABC) enables statistical inference in simulator-based models whose likelihoods are difficult to calculate but easy to simulate from. ABC constructs a kernel-type approximation to the posterior distribution…

统计方法学 · 统计学 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

统计方法学 · 统计学 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

With larger data at their disposal, scientists are emboldened to tackle complex questions that require sophisticated statistical models. It is not unusual for the latter to have likelihood functions that elude analytical formulations. Even…

统计计算 · 统计学 2019-05-17 Evgeny Levi , Radu V. Craiu

"Approximate Bayesian Computation" (ABC) represents a powerful methodology for the analysis of complex stochastic systems for which the likelihood of the observed data under an arbitrary set of input parameters may be entirely…

天体物理仪器与方法 · 物理学 2015-06-04 E. Cameron , A. N. Pettitt

Bayesian nonparametric mixture models offer a rich framework for model based clustering. We consider the situation where the kernel of the mixture is available only up to an intractable normalizing constant. In this case, most of the…

统计计算 · 统计学 2021-12-21 Mario Beraha , Riccardo Corradin

Sequential Monte Carlo (SMC) samplers are powerful tools for Bayesian inference but suffer from high computational costs due to their reliance on large particle ensembles for accurate estimates. We introduce persistent sampling (PS), an…

机器学习 · 统计学 2025-06-24 Minas Karamanis , Uroš Seljak

Approximate Bayesian Computation (ABC) is a statistical learning technique to calibrate and select models by comparing observed data to simulated data. This technique bypasses the use of the likelihood and requires only the ability to…

统计计算 · 统计学 2021-05-04 Pierre-Olivier Goffard , Patrick J. Laub

Many modern statistical applications involve inference for complicated stochastic models for which the likelihood function is difficult or even impossible to calculate, and hence conventional likelihood-based inferential echniques cannot be…

统计计算 · 统计学 2013-05-29 Simon R. White , Theodore Kypraios , Simon P. Preston

Approximate Bayesian Computation (ABC) is a widely applicable and popular approach to estimating unknown parameters of mechanistic models. As ABC analyses are computationally expensive, parallelization on high-performance infrastructure is…

定量方法 · 定量生物学 2023-05-02 Emad Alamoudi , Felipe Reck , Nils Bundgaard , Frederik Graw , Lutz Brusch , Jan Hasenauer , Yannik Schälte

In this paper, we propose an approach for an application of Bayesian optimization using Sequential Monte Carlo (SMC) and concepts from the statistical physics of classical systems. Our method leverages the power of modern machine learning…

统计计算 · 统计学 2024-09-06 Anton Lebedev , Thomas Warford , M. Emre Şahin

Performing exact posterior inference in complex generative models is often difficult or impossible due to an expensive to evaluate or intractable likelihood function. Approximate Bayesian computation (ABC) is an inference framework that…

机器学习 · 统计学 2016-02-16 Jovana Mitrovic , Dino Sejdinovic , Yee Whye Teh

We introduce an approximate search algorithm for fast maximum a posteriori probability estimation in probabilistic programs, which we call Bayesian ascent Monte Carlo (BaMC). Probabilistic programs represent probabilistic models with…

人工智能 · 计算机科学 2015-04-28 David Tolpin , Frank Wood

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

统计计算 · 统计学 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander