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Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation (ABC) method based on sequential Monte…

Computation · Statistics 2009-01-15 Tina Toni , David Welch , Natalja Strelkowa , Andreas Ipsen , Michael P. H. Stumpf

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…

Methodology · Statistics 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

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…

Computation · Statistics 2015-07-17 Johanna Bertl , Gregory Ewing , Carolin Kosiol , Andreas Futschik

In this paper, we introduce a new method of sampling from transition densities of diffusion processes including those unknown in closed forms by solving a partial differential equation satisfied by the quotient of transition densities. We…

Probability · Mathematics 2020-12-04 Yasin Kikabi , Juma Kasozi

There is an increasing amount of literature focused on Bayesian computational methods to address problems with intractable likelihood. One approach is a set of algorithms known as Approximate Bayesian Computational (ABC) methods. One of the…

Methodology · Statistics 2015-10-27 Weixuan Zhu , Juan Miguel Marin , Fabrizio Leisen

We introduce a modified spatial $\Lambda$-Fleming-Viot process to model the ancestry of individuals in a population occupying a continuous spatial habitat divided into two areas by a sharp discontinuity of the dispersal rate and effective…

Probability · Mathematics 2023-06-14 Raphael Forien , Harald Ringbauer , Graham Coop

In this paper, we propose a novel bootstrap algorithm that is more efficient than existing methods for approximating the distribution of the factor-augmented regression estimator for a rotated parameter vector. The regression is augmented…

Methodology · Statistics 2025-10-02 Peiyun Jiang , Takashi Yamagata

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

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…

Methodology · Statistics 2016-08-16 Umberto Picchini , Rachele Anderson

Meta-analysis is a statistical method to combine results from multiple clinical or genomic studies with the same or similar research problems. It has been widely use to increase statistical power in finding clinical or genomic differences…

Statistics Theory · Mathematics 2019-08-05 Yusi Fang , Shaowu Tang , Zhiguang Huo , George C. Tseng , Yongseok Park

In the following article we consider approximate Bayesian parameter inference for observation driven time series models. Such statistical models appear in a wide variety of applications, including econometrics and applied mathematics. This…

Computation · Statistics 2013-04-01 Ajay Jasra , Nikolas Kantas , Elena Ehrlich

Approximate Bayesian Computation (ABC) methods have become essential tools for performing inference when likelihood functions are intractable or computationally prohibitive. However, their scalability remains a major challenge in…

Methodology · Statistics 2025-07-09 Antoine Luciano , Charly Andral , Christian P. Robert , Robin J. Ryder

Our motivation comes from the large population approximation of individual based models in population dynamics and population genetics. We propose a general method to investigate scaling limits of finite dimensional population size Markov…

Probability · Mathematics 2018-11-07 Vincent Bansaye , Maria-Emilia Caballero , Sylvie Méléard

Approximate Bayesian Computation (ABC) methods are applicable to statistical models specified by generative processes with analytically intractable likelihoods. These methods try to approximate the posterior density of a model parameter by…

Methodology · Statistics 2024-03-11 Sanjay Chaudhuri , Subhroshekhar Ghosh , Kim Cuc Pham

Approximate Bayesian computation (ABC) is a set of techniques for Bayesian inference when the likelihood is intractable but sampling from the model is possible. This work presents a simple yet effective ABC algorithm based on the…

Computation · Statistics 2019-03-01 Yanzhi Chen , Michael U. Gutmann

Diffusion models have demonstrated strong generative capabilities across domains ranging from image synthesis to complex reasoning tasks. However, most inference-time scaling methods rely on fixed denoising schedules, limiting their ability…

Machine Learning · Computer Science 2025-10-28 Gyubin Lee , Truong Nhat Nguyen Bao , Jaesik Yoon , Dongwoo Lee , Minsu Kim , Yoshua Bengio , Sungjin Ahn

We study the population genetics of two neutral alleles under reversible mutation in the \Lambda-processes, a population model that features a skewed offspring distribution. We describe the shape of the equilibrium allele frequency…

Populations and Evolution · Quantitative Biology 2013-06-21 Ricky Der , Joshua B. Plotkin

Approximate Bayesian Computation (ABC) provides methods for Bayesian inference in simulation-based stochastic models which do not permit tractable likelihoods. We present a new ABC method which uses probabilistic neural emulator networks to…

Machine Learning · Statistics 2019-05-21 Jan-Matthis Lueckmann , Giacomo Bassetto , Theofanis Karaletsos , Jakob H. Macke

Complicated generative models often result in a situation where computing the likelihood of observed data is intractable, while simulating from the conditional density given a parameter value is relatively easy. Approximate Bayesian…

Machine Learning · Statistics 2015-12-29 Mijung Park , Wittawat Jitkrittum , Dino Sejdinovic

Human populations have a complex history of introgression and of changing population size. Human genetic variation has been affected by both these processes, so that inference of past population size depends upon the pattern of gene flow…

Populations and Evolution · Quantitative Biology 2017-03-29 John Hawks