@inproceedings{4fc4769675bf47889b9e8626af40deb5,
title = "Anticorrelated discrete-time stochastic simulation",
abstract = "We provide the first known rigorous theoretical analysis of previously published anticorrelated variance reduction techniques for tau-leaping systems. These algorithms provide a way to reduce the expected MSE of mean estimators by introducing local negative correlation between Monte Carlo sample paths. We prove a recursive equation governing the evolution of these covariances in both the nonlinear and linear cases. Further, we prove sufficient algebraic conditions for variance reduction in the linear rates case that require no stochastic simulation. Finally, we present an example system to illustrate both the application of these tests and to demonstrate their effectiveness.",
author = "Maginnis, {Peter A.} and Matthew West and Dullerud, {Geir E.}",
year = "2013",
doi = "10.1109/CDC.2013.6759950",
language = "English (US)",
isbn = "9781467357173",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "618--623",
booktitle = "2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013",
address = "United States",
note = "52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",
}