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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…

Computation · Statistics 2014-03-04 Clara Grazian , Brunero Liseo

Recent studies show the existing clinical tests to detect Cardio/cerebrovascular diseases (CVD) are ineffectual as they do not consider different stages of platelet activation or the molecular dynamics involved in platelet interactions.…

Approximate Bayesian computation (ABC) have become a essential tool for the analysis of complex stochastic models. Earlier, Grelaud et al. (2009) advocated the use of ABC for Bayesian model choice in the specific case of Gibbs random…

Methodology · Statistics 2015-03-19 Christian P. Robert , Jean-Marie Cornuet , Jean-Michel Marin , Natesh Pillai

In this study, an image-assisted Approximate Bayesian Computation (ABC) parameter inverse method is proposed to identify the design parameters. In the proposed method, the images are mapped to a low-dimensional latent space by Variational…

Image and Video Processing · Electrical Eng. & Systems 2019-07-09 Jiaquan Wang , Yang Zeng , Xinchao Jiang , Hu Wang , Enying Li , Guangyao Li

Dynamic positron emission tomography (PET) and kinetic modeling are pivotal in advancing tracer development research in small animal studies. Accurate kinetic modeling requires precise input function estimation, traditionally achieved via…

In many applications involving spatial point patterns, we find evidence of inhibition or repulsion. The most commonly used class of models for such settings are the Gibbs point processes. A recent alternative, at least to the statistical…

Computation · Statistics 2016-08-29 Shinichiro Shirota , Alan. E. Gelfand

We present Point-Voxel CNN (PVCNN) for efficient, fast 3D deep learning. Previous work processes 3D data using either voxel-based or point-based NN models. However, both approaches are computationally inefficient. The computation cost and…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Zhijian Liu , Haotian Tang , Yujun Lin , Song Han

Approximate Bayesian Computation (ABC) is a popular computational method for likelihood-free Bayesian inference. The term "likelihood-free" refers to problems where the likelihood is intractable to compute or estimate directly, but where it…

Statistics Theory · Mathematics 2014-07-21 Stuart Barber , Jochen Voss , Mark Webster

Likelihood-free inference for simulator-based statistical models has developed rapidly from its infancy to a useful tool for practitioners. However, models with more than a handful of parameters still generally remain a challenge for the…

Approximate Bayesian Computation is widely used in systems biology for inferring parameters in stochastic gene regulatory network models. Its performance hinges critically on the ability to summarize high-dimensional system responses such…

Machine Learning · Statistics 2021-04-13 Mattias Åkesson , Prashant Singh , Fredrik Wrede , Andreas Hellander

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

Machine Learning · Computer Science 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

Many recent statistical applications involve inference under complex models, where it is computationally prohibitive to calculate likelihoods but possible to simulate data. Approximate Bayesian Computation (ABC) is devoted to these complex…

Populations and Evolution · Quantitative Biology 2011-06-15 Katalin Csilléry , Olivier François , Michael GB Blum

Variational Bayesian (VB) methods produce posterior inference in a time frame considerably smaller than traditional Markov Chain Monte Carlo approaches. Although the VB posterior is an approximation, it has been shown to produce good…

Computation · Statistics 2019-08-02 Nathaniel Tomasetti , Catherine S. Forbes , Anastasios Panagiotelis

Approximate Bayesian inference for models with computationally expensive, black-box likelihoods poses a significant challenge, especially when the posterior distribution is complex. Many inference methods struggle to explore the parameter…

Machine Learning · Statistics 2025-11-11 Francesco Silvestrin , Chengkun Li , Luigi Acerbi

Approximate Bayesian computation (ABC) is a class of algorithmic methods in Bayesian inference using statistical summaries and computer simulations. ABC has become popular in evolutionary genetics and in other branches of biology. However…

Computation · Statistics 2011-05-03 Olivier Francois , Guillaume Laval

Approximate Bayesian Computation (ABC) is a popular inference method when likelihoods are hard to come by. Practical bottlenecks of ABC applications include selecting statistics that summarize the data without losing too much information or…

Computation · Statistics 2026-05-15 Khanh N. Dinh , Cécile Liu , Zijin Xiang , Zhihan Liu , Simon Tavaré

Direct reconstruction of positron emission tomography (PET) data using deep neural networks is a growing field of research. Initial results are promising, but often the networks are complex, memory utilization inefficient, produce…

Image and Video Processing · Electrical Eng. & Systems 2020-06-16 William Whiteley , Vladimir Panin , Chuanyu Zhou , Jorge Cabello , Deepak Bharkhada , Jens Gregor

Variational Bayes (VB) is rapidly becoming a popular tool for Bayesian inference in statistical modeling. However, the existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes the use of VB in many…

Methodology · Statistics 2016-08-05 Minh-Ngoc Tran , David J. Nott , Robert Kohn

Recent developments in neural networks have improved deformable image registration (DIR) by amortizing iterative optimization, enabling fast and accurate DIR results. However, learning-based methods often face challenges with limited…

Image and Video Processing · Electrical Eng. & Systems 2025-06-26 Hang Zhang , Yuxi Zhang , Jiazheng Wang , Xiang Chen , Renjiu Hu , Xin Tian , Gaolei Li , Min Liu

Approximate Bayesian computation (ABC) refers to a family of inference methods used in the Bayesian analysis of complex models where evaluation of the likelihood is difficult. Conventional ABC methods often suffer from the curse of…

Computation · Statistics 2016-07-08 Jingjing Li , David J. Nott , Yanan Fan , Scott A. Sisson
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