Motivated by the growth in computational power and data complexity, modern approaches to this question make intensive use of simulation methods. Approximate Bayesian Computation (ABC) is one of these methods. Here we review the foundations of ABC, its recent algorithmic developments, and its ...
p(θ)是先验。p(D)是事实。然后所有的approximate bayesian computation方法都是通过模拟的办法来逼近似然...
反过来设法逼近似然函数的效果Approximate Bayesian computation中的Approximate指的就是对似然函数的趋近具体方...
J. & Gratton, R. J. Monte Carlo methods of inference for implicit statistical models. J. R. Stat. Soc. B 46, 193–227 (1984). MathSciNet MATH Google Scholar Beaumont, M. A., Zhang, W. & Balding, D. J. Approximate Bayesian computation in population genetics. Genetics 162, 2025...
Approximate Bayesian Computation of radiocarbon and paleoenvironmental record shows population resilience on Rapa Nui (Easter Island) Robert J. DiNapoli, Enrico R. Crema, Carl P. Lipo, Timothy M. Rieth & Terry L. Hunt Nature Communications volume 12, Article number: 3939 (2021) Cite this artic...
(2011). Deviance information criteria for model selection in approximate Bayesian computation. arXiv preprint arXiv:1105.0269.Franc¸ois, O. and Laval, G. (2011). Deviance information criteria for model selection in Approximate Bayesian Computation. Statistical Appli- cations in Genetics and ...
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 suitable likelihoods are not available. In the present paper, we analyze...
A review of approximate Bayesian computation methods via density estimation: Inference for simulator‐modelsapproximate Bayesian computationneural density estimationsynthetic likelihoodtype="main" xml:lang="en">\n
Approximate Bayesian Computation, Class of methods in Bayesian Statistics where the posterior distribution is approximated over a rejection scheme on simulations because the likelihood function is intractable.Different parameters get sampled and simulated. Then a distance function is calculated to measure the...
Multilevel Monte Carlo in approxi- mate Bayesian computation. ArXiv e-prints URL https://arxiv.org/abs/1702.03628, 1702.03628.Jasra, A., S. Jo, D. J. Nott, C. Shoemaker, and R. Tempone (2017). Multilevel Monte Carlo in approximate Bayesian computation. https://arxiv.org/abs/...