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In astro-ph/0702542v2, Linder and Miquel seek to criticize the use of Bayesian model selection for data analysis and for survey forecasting and design. Their discussion is based on three serious misunderstandings of the conceptual…

This book chapter introduces regression approaches and regression adjustment for Approximate Bayesian Computation (ABC). Regression adjustment adjusts parameter values after rejection sampling in order to account for the imperfect match…

统计方法学 · 统计学 2017-07-06 Michael GB Blum

Inexact computing also referred to as approximate computing is a style of designing algorithms and computing systems wherein the accuracy of correctness of algorithms executing on them is deliberately traded for significant resource…

数据结构与算法 · 计算机科学 2023-05-31 John Augustine , Dror Fried , Krishna V. Palem , Duc-Hung Pham , Anshumali Shrivastava

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

机器学习 · 统计学 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

We present extensive empirical evidence showing that current Bayesian simulation-based inference algorithms can produce computationally unfaithful posterior approximations. Our results show that all benchmarked algorithms -- (Sequential)…

Approximate Bayesian computation (ABC) methods provide an elaborate approach to Bayesian inference on complex models, including model choice. Both theoretical arguments and simulation experiments indicate, however, that model posterior…

Inferring the parameters of models describing biological systems is an important problem in the reverse engineering of the mechanisms underlying these systems. Much work has focused on parameter inference of stochastic and ordinary…

定量方法 · 定量生物学 2021-11-09 Thomas Thorne , Paul D. W. Kirk , Heather A. Harrington

This preprint has been reviewed and recommended by Peer Community In Evolutionary Biology (http://dx.doi.org/10.24072/pci.evolbiol.100036). Approximate Bayesian computation (ABC) has grown into a standard methodology that manages Bayesian…

B\'ezier simplex fitting algorithms have been recently proposed to approximate the Pareto set/front of multi-objective continuous optimization problems. These new methods have shown to be successful at approximating various shapes of Pareto…

机器学习 · 计算机科学 2021-04-14 Akinori Tanaka , Akiyoshi Sannai , Ken Kobayashi , Naoki Hamada

Multifidelity approximate Bayesian computation (MF-ABC) is a likelihood-free technique for parameter inference that exploits model approximations to significantly increase the speed of ABC algorithms (Prescott and Baker, 2020). Previous…

统计计算 · 统计学 2021-12-23 Thomas P. Prescott , Ruth E. Baker

Approximate Bayesian computation (ABC) is a likelihood-free inference method that has been employed in various applications. However, ABC can be sensitive to outliers if a data discrepancy measure is chosen inappropriately. In this paper,…

机器学习 · 统计学 2021-03-08 Masahiro Fujisawa , Takeshi Teshima , Issei Sato , Masashi Sugiyama

A new recalibration post-processing method is presented to improve the quality of the posterior approximation when using Approximate Bayesian Computation (ABC) algorithms. Recalibration may be used in conjunction with existing…

统计计算 · 统计学 2017-04-24 G. S. Rodrigues , D. Prangle , S. A. Sisson

In the following article we consider approximate Bayesian computation (ABC) inference. We introduce a method for numerically approximating ABC posteriors using the multilevel Monte Carlo (MLMC). A sequential Monte Carlo version of the…

统计方法学 · 统计学 2017-02-14 Ajay Jasra , Seongil Jo , David Nott , Christine Shoemaker , Raul Tempone

Many modern statistical applications involve inference for complex stochastic models, where it is easy to simulate from the models, but impossible to calculate likelihoods. Approximate Bayesian computation (ABC) is a method of inference for…

统计方法学 · 统计学 2015-03-14 Paul Fearnhead , Dennis Prangle

Approximate Bayesian computation (ABC) performs statistical inference for otherwise intractable probability models by accepting parameter proposals when corresponding simulated datasets are sufficiently close to the observations. Producing…

统计计算 · 统计学 2014-12-05 Dennis Prangle

The missionary zeal of many Bayesians of old has been matched, in the other direction, by a view among some theoreticians that Bayesian methods are absurd-not merely misguided but obviously wrong in principle. We consider several examples,…

统计理论 · 数学 2012-06-12 Andrew Gelman , Christian P. Robert

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

"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

Approximate Bayesian Computation (ABC) methods rely on asymptotic arguments, implying that parameter inference can be systematically biased even when sufficient statistics are available. We propose to construct the ABC accept/reject step…

统计方法学 · 统计学 2014-01-24 Oliver Ratmann , Anton Camacho , Adam Meijer , Gé Donker

This paper is on Bayesian inference for parametric statistical models that are defined by a stochastic simulator which specifies how data is generated. Exact sampling is then possible but evaluating the likelihood function is typically…

机器学习 · 统计学 2020-03-02 Borislav Ikonomov , Michael U. Gutmann