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In many biological processes, the size of a population changes stochastically with time, and recent work in the context of cancer and bacterial growth have focused on the situation when the mean population size grows exponentially. Here,…

Populations and Evolution · Quantitative Biology 2025-08-27 Kavita Jain , Hitesh Sumuni

Selecting between different dependency structures of hidden Markov random field can be very challenging, due to the intractable normalizing constant in the likelihood. We answer this question with approximate Bayesian computation (ABC)…

Statistics Theory · Mathematics 2019-09-04 Julien Stoehr , Pierre Pudlo , Lionel Cucala

Approximate Bayesian computation (ABC) methods perform inference on model-specific parameters of mechanistically motivated parametric statistical models when evaluating likelihoods is difficult. Central to the success of ABC methods is…

Computation · Statistics 2013-01-29 Erkan O. Buzbas , Noah A. Rosenberg

Recombination is a fundamental evolutionary force, but it is difficult to quantify because the effect of a recombination event on patterns of variation in a sample of genetic data can be hard to discern. Estimators for the recombination…

Populations and Evolution · Quantitative Biology 2023-05-05 Robert C. Griffiths , Paul A. Jenkins

The transition distribution of a sample taken from a Wright-Fisher diffusion with general small mutation rates is found using a coalescent approach. The approximation is equivalent to having at most one mutation in the coalescent tree of…

Populations and Evolution · Quantitative Biology 2019-09-12 Conrad J. Burden , Robert C. Griffiths

As an effective algorithm for solving complex optimization problems, artificial bee colony (ABC) algorithm has shown to be competitive, but the same as other population-based algorithms, it is poor at balancing the abilities of global…

Neural and Evolutionary Computing · Computer Science 2021-12-03 Haiquan Wang , Hans-DietrichHaasis , Panpan Du , Xiaobin Xu , Menghao Su , Shengjun Wen , Wenxuan Yue , Shanshan Zhang

In the context of population genetics, active information can be extended to measure the change of information of a given event (e.g., fixation of an allele) from a neutral model in which only genetic drift is taken into account to a…

Information Theory · Computer Science 2022-02-24 Daniel Andrés Díaz-Pachón , Robert J. Marks

Artificial bee colony (ABC) algorithm has proved its importance in solving a number of problems including engineering optimization problems. ABC algorithm is one of the most popular and youngest member of the family of population based…

Artificial Intelligence · Computer Science 2014-07-23 Sandeep Kumar , Vivek Kumar Sharma , Rajani Kumari

Many models of interest in the natural and social sciences have no closed-form likelihood function, which means that they cannot be treated using the usual techniques of statistical inference. In the case where such models can be…

Computation · Statistics 2012-07-19 Simon Barthelmé , Nicolas Chopin

We consider the Wright-Fisher model for a population of $N$ individuals, each identified with a sequence of a finite number of sites, and single-crossover recombination between them. We trace back the ancestry of single individuals from the…

Probability · Mathematics 2014-04-24 Ellen Baake , Ute von Wangenheim

Sweepstakes reproduction refers to a highly skewed individual recruitment success without involving natural selection and may apply to individuals in broadcast spawning populations characterised by Type III survivorship. We consider an…

Populations and Evolution · Quantitative Biology 2026-01-14 Jonathan A Chetwynd-Diggle , Bjarki Eldon

We propose a novel approach to model selection for simulator-based statistical models. The proposed approach defines a mixture of candidate models, and then iteratively updates the weight coefficients for those models as well as the…

Machine Learning · Statistics 2019-02-08 Takafumi Kajihara , Motonobu Kanagawa , Yuuki Nakaguchi , Kanishka Khandelwal , Kenji Fukumiziu

The accuracy of deep neural networks is significantly affected by how well mini-batches are constructed during the training step. In this paper, we propose a novel adaptive batch selection algorithm called Recency Bias that exploits the…

Machine Learning · Computer Science 2020-12-24 Hwanjun Song , Minseok Kim , Sundong Kim , Jae-Gil Lee

Our purpose is to estimate the posterior distribution of the parameters of interest for controlled branching processes (CBPs) without prior knowledge of the maximum number of offspring that an individual can give birth to and without…

Methodology · Statistics 2021-08-10 Miguel González , Carmen Minuesa , Inés del Puerto

Moran or Wright-Fisher processes are probably the most well known model to study the evolution of a population under various effects. Our object of study will be the Simpson index which measures the level of diversity of the population, one…

Probability · Mathematics 2018-09-25 Arnaud Personne , Arnaud Guillin , Franck Jabot , Arnaud Guillin

Controlled branching processes are stochastic growth population models in which the number of individuals with reproductive capacity in each generation is controlled by a random control function. The purpose of this work is to examine the…

Methodology · Statistics 2019-07-03 M. González , R. Martínez , C. Minuesa , I. del Puerto

Approximate Bayesian computation (ABC) methods permit approximate inference for intractable likelihoods when it is possible to simulate from the model. However they perform poorly for high dimensional data, and in practice must usually be…

Computation · Statistics 2017-04-05 Dennis Prangle , Richard G. Everitt , Theodore Kypraios

The purpose of this article is to study some asymptotic properties of the \Lambda-Wright-Fisher process with selection. This process represents the frequency of a disadvantaged allele. The resampling mechanism is governed by a finite…

Probability · Mathematics 2014-03-06 Clement Foucart

Approximate Bayesian Computation (ABC) is a powerful method for carrying out Bayesian inference when the likelihood is computationally intractable. However, a drawback of ABC is that it is an approximate method that induces a systematic…

Methodology · Statistics 2015-09-29 Minh Ngoc Tran , Robert Kohn

Many population genetic models have been developed for the purpose of inferring population size and growth rates from random samples of genetic data. We examine two popular approaches to this problem, the coalescent and the…

Populations and Evolution · Quantitative Biology 2014-08-29 Erik M. Volz , Simon DW Frost