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@article{Goodman2010,
title = {Ensemble Samplers with Affine Invariance},
author = {Goodman, Jonathan and Weare, Jonathan},
date = {2010-01-31},
journaltitle = {Communications in Applied Mathematics and Computational Science},
volume = {5},
pages = {65--80},
publisher = {{Mathematical Sciences Publishers}},
issn = {2157-5452},
doi = {10.2140/camcos.2010.5.65},
url = {https://msp.org/camcos/2010/5-1/p04.xhtml},
urldate = {2021-01-22},
number = {1}
}
@article{terBraak2008,
title = {Differential {{Evolution Markov Chain}} with Snooker Updater and~Fewer Chains},
author = {{{ter Braak}}, Cajo J. F. and Vrugt, Jasper A.},
date = {2008-12-01},
journaltitle = {Statistics and Computing},
volume = {18},
pages = {435--446},
issn = {1573-1375},
doi = {10.1007/s11222-008-9104-9},
url = {https://doi.org/10.1007/s11222-008-9104-9},
urldate = {2021-01-22},
abstract = {Differential Evolution Markov Chain (DE-MC) is an adaptive MCMC algorithm, in which multiple chains are run in parallel. Standard DE-MC requires at least N=2d chains to be run in parallel, where d is the dimensionality of the posterior. This paper extends DE-MC with a snooker updater and shows by simulation and real examples that DE-MC can work for d up to 50–100 with fewer parallel chains (e.g.N=3) by exploiting information from their past by generating jumps from differences of pairs of past states. This approach extends the practical applicability of DE-MC and is shown to be about 5–26 times more efficient than the optimal Normal random walk Metropolis sampler for the 97.5\% point of a variable from a 25–50 dimensional Student t3 distribution. In a nonlinear mixed effects model example the approach outperformed a block-updater geared to the specific features of the model.},
langid = {english},
number = {4},
options = {useprefix=true}
}