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Spatial whole-brain Bayesian modeling of task-related functional magnetic resonance imaging (fMRI) is a great computational challenge. Most of the currently proposed methods therefore do inference in subregions of the brain separately or do…

Computation · Statistics 2017-01-03 Per Sidén , Anders Eklund , David Bolin , Mattias Villani

Probabilistic estimation of cardiac electrophysiological model parameters serves an important step towards model personalization and uncertain quantification. The expensive computation associated with these model simulations, however, makes…

Dynamic positron emission tomography imaging (dPET) provides temporally resolved images of a tracer enabling a quantitative measure of physiological processes. Voxel-wise physiologically-based pharmacokinetic (PBPK) modeling of the time…

Image and Video Processing · Electrical Eng. & Systems 2023-05-19 Francesca De Benetti , Walter Simson , Magdalini Paschali , Hasan Sari , Axel Romiger , Kuangyu Shi , Nassir Navab , Thomas Wendler

Approximate Bayesian computation (ABC) is a method for Bayesian inference when the likelihood is unavailable but simulating from the model is possible. However, many ABC algorithms require a large number of simulations, which can be costly.…

Machine Learning · Statistics 2018-10-15 Marko Järvenpää , Michael U. Gutmann , Arijus Pleska , Aki Vehtari , Pekka Marttinen

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…

Computation · Statistics 2021-05-04 Pierre-Olivier Goffard , Patrick J. Laub

Approximate Bayesian Computation (ABC) is a framework for performing likelihood-free posterior inference for simulation models. Stochastic Variational inference (SVI) is an appealing alternative to the inefficient sampling approaches…

Machine Learning · Statistics 2016-06-29 Alexander Moreno , Tameem Adel , Edward Meeds , James M. Rehg , Max Welling

Approximate Bayesian Computation (ABC) methods are used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Both the accuracy and computational efficiency of ABC depend on the choice of…

Methodology · Statistics 2017-03-17 Bai Jiang , Tung-yu Wu , Charles Zheng , Wing H. Wong

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

Methodology · Statistics 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

Reconstruction of PET images is an ill-posed inverse problem and often requires iterative algorithms to achieve good image quality for reliable clinical use in practice, at huge computational costs. In this paper, we consider the PET…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Jieqing Jiao , Sebastien Ourselin

Despite the popularism of Bayesian neural networks in recent years, its use is somewhat limited in complex and big data situations due to the computational cost associated with full posterior evaluations. Variational Bayes (VB) provides a…

Machine Learning · Statistics 2020-06-30 Shrijita Bhattacharya , Tapabrata Maiti

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…

Computation · Statistics 2021-12-23 Thomas P. Prescott , Ruth E. Baker

To correct for respiratory motion in PET imaging, an interpretable and unsupervised deep learning technique, FlowNet-PET, was constructed. The network was trained to predict the optical flow between two PET frames from different breathing…

Image and Video Processing · Electrical Eng. & Systems 2022-08-04 Teaghan O'Briain , Carlos Uribe , Kwang Moo Yi , Jonas Teuwen , Ioannis Sechopoulos , Magdalena Bazalova-Carter

Approximate Bayesian Computation (ABC for short) is a family of computational techniques which offer an almost automated solution in situations where evaluation of the posterior likelihood is computationally prohibitive, or whenever…

Statistics Theory · Mathematics 2013-06-04 Gérard Biau , Frédéric Cérou , Arnaud Guyader

1. Challenging calibration of complex models can be approached by using prior knowledge on the parameters. However, the natural choice of Bayesian inference can be computationally heavy when relying on Markov Chain Monte Carlo (MCMC)…

Applications · Statistics 2023-04-27 Charlotte Baey , Henrik G. Smith , Maj Rundlöf , Ola Olsson , Yann Clough , Ullrika Sahlin

Subject motion in whole-body dynamic PET introduces inter-frame mismatch and seriously impacts parametric imaging. Traditional non-rigid registration methods are generally computationally intense and time-consuming. Deep learning approaches…

Image and Video Processing · Electrical Eng. & Systems 2022-06-29 Xueqi Guo , Bo Zhou , David Pigg , Bruce Spottiswoode , Michael E. Casey , Chi Liu , Nicha C. Dvornek

Approximate Bayesian computation (ABC) methods, which are applicable when the likelihood is difficult or impossible to calculate, are an active topic of current research. Most current ABC algorithms directly approximate the posterior…

Computation · Statistics 2012-12-10 Y. Fan , D. J. Nott , S. A. Sisson

Approximate Bayesian computation (ABC) methods have become increasingly prevalent of late, facilitating as they do the analysis of intractable, or challenging, statistical problems. With the initial focus being primarily on the practical…

Computation · Statistics 2015-08-24 David T. Frazier , Gael M. Martin , Christian P. Robert

We consider the application of approximate Bayesian Computation (ABC) in the context of medical imaging data. We consider the parameter estimation of compartmental models in PET imaging analysis, and provide a simple ABC algorithm for its…

Applications · Statistics 2016-08-01 Y. Fan , S. R. Meikle , G. Angelis , A. Sitek

We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

Machine Learning · Statistics 2017-05-01 Xin Liu , Mahesan Niranjan

Approximate Bayesian Computation (ABC) is a useful class of methods for Bayesian inference when the likelihood function is computationally intractable. In practice, the basic ABC algorithm may be inefficient in the presence of discrepancy…

Statistics Theory · Mathematics 2015-05-14 Stefano Cabras , Maria Eugenia Castellanos Nueda , Erlis Ruli