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Estimating the model evidence - or mariginal likelihood of the data - is a notoriously difficult task for finite and infinite mixture models and we reexamine here different Monte Carlo techniques advocated in the recent literature, as well…

统计计算 · 统计学 2022-05-12 Adrien Hairault , Christian P. Robert , Judith Rousseau

In this paper we review the concepts of Bayesian evidence and Bayes factors, also known as log odds ratios, and their application to model selection. The theory is presented along with a discussion of analytic, approximate and numerical…

统计方法学 · 统计学 2015-11-24 Kevin H. Knuth , Michael Habeck , Nabin K. Malakar , Asim M. Mubeen , Ben Placek

Fingerprint classification is an effective technique for reducing the candidate numbers of fingerprints in the stage of matching in automatic fingerprint identification system (AFIS). In recent years, deep learning is an emerging technology…

计算机视觉与模式识别 · 计算机科学 2014-09-19 Ruxin Wang , Congying Han , Yanping Wu , Tiande Guo

For nearly any challenging scientific problem evaluation of the likelihood is problematic if not impossible. Approximate Bayesian computation (ABC) allows us to employ the whole Bayesian formalism to problems where we can use simulations…

统计计算 · 统计学 2011-07-04 Chris Barnes , Sarah Filippi , Michael P. H. Stumpf , Thomas Thorne

The choice of the summary statistics used in Bayesian inference and in particular in ABC algorithms has bearings on the validation of the resulting inference. Those statistics are nonetheless customarily used in ABC algorithms without…

统计理论 · 数学 2013-08-23 J. -M. Marin , N. Pillai , C. P. Robert , J. Rousseau

Bias in datasets can be very detrimental for appropriate statistical estimation. In response to this problem, importance weighting methods have been developed to match any biased distribution to its corresponding target unbiased…

机器学习 · 计算机科学 2022-09-12 Antoine de Mathelin , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

Inverse parameter estimation of process-based models is a long-standing problem in many scientific disciplines. A key question for inverse parameter estimation is how to define the metric that quantifies how well model predictions fit to…

种群与进化 · 定量生物学 2014-05-09 Florian Hartig , Claudia Dislich , Thorsten Wiegand , Andreas Huth

Approximate Bayesian computation is a statistical framework that uses numerical simulations to calibrate and compare models. Instead of computing likelihood functions, Approximate Bayesian computation relies on numerical simulations, which…

统计方法学 · 统计学 2016-01-19 Louisiane Lemaire , Flora Jay , I-Hung Lee , Katalin Csilléry , Michael G. B. Blum

The Bayesian evidence is a key tool in model selection, allowing a comparison of models with different numbers of parameters. Its use in analysis of cosmological models has been limited by difficulties in calculating it, with current…

宇宙学与河外天体物理 · 物理学 2023-02-01 Juan Garcia-Bellido

We present asymptotic results for the regression-adjusted version of approximate Bayesian computation introduced by Beaumont(2002). We show that for an appropriate choice of the bandwidth, regression adjustment will lead to a posterior…

统计理论 · 数学 2017-11-29 Wentao Li , Paul Fearnhead

Approximate Bayesian computation is an established and popular method for likelihood-free inference with applications in many disciplines. The effectiveness of the method depends critically on the availability of well performing summary…

机器学习 · 统计学 2018-05-23 Prashant Singh , Andreas Hellander

Fingerprint recognition is widely used for verification and identification in many commercial, governmental and forensic applications. The orientation field (OF) plays an important role at various processing stages in fingerprint…

计算机视觉与模式识别 · 计算机科学 2018-01-26 Carsten Gottschlich , Benjamin Tams , Stephan Huckemann

Fingerprints have long been recognized as a unique and reliable means of personal identification. Central to the analysis and enhancement of fingerprints is the concept of the fingerprint core. Although the location of the core is used in…

计算机视觉与模式识别 · 计算机科学 2025-03-05 Laurenz Ruzicka , Bernhard Strobl , Bernhard Kohn , Clemens Heitzinger

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

统计方法学 · 统计学 2020-04-30 Papamichalis Marios

The Bayes factor is the gold-standard figure of merit for comparing fits of models to data, for hypothesis selection and parameter estimation. However it is little used because it is computationally very intensive. Here it is shown how…

数据分析、统计与概率 · 物理学 2020-07-21 David J. Dunstan , Joel Crowne , Alan J. Drew

In recent years, methods of approximate parameter estimation have attracted considerable interest in complex problems where exact likelihoods are hard to obtain. In their most basic form, Bayesian methods such as Approximate Bayesian…

统计计算 · 统计学 2015-07-17 Johanna Bertl , Gregory Ewing , Carolin Kosiol , Andreas Futschik

The study identifies a clear evolution from traditional methods to more advanced machine learning approaches. Current algorithms face persistent challenges, including degraded image quality, damaged ridge structures, and background noise,…

计算机视觉与模式识别 · 计算机科学 2025-08-20 Amit Kumar Trivedi , Jasvinder Pal Singh

Mathematical models implemented on a computer have become the driving force behind the acceleration of the cycle of scientific processes. This is because computer models are typically much faster and economical to run than physical…

统计计算 · 统计学 2021-07-05 Vojtech Kejzlar , Mookyong Son , Shrijita Bhattacharya , Tapabrata Maiti

Approximate Bayesian Computation (ABC) is typically used when the likelihood is either unavailable or intractable but where data can be simulated under different parameter settings using a forward model. Despite the recent interest in ABC,…

统计方法学 · 统计学 2019-12-24 Rafael Izbicki , Ann B. Lee , Taylor Pospisil

A maximum likelihood methodology for a general class of models is presented, using an approximate Bayesian computation (ABC) approach. The typical target of ABC methods are models with intractable likelihoods, and we combine an ABC-MCMC…

统计方法学 · 统计学 2016-08-16 Umberto Picchini , Rachele Anderson