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Analysis of Monte Carlo estimators for parametric sensitivities in stochastic chemical kinetics

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SDBW03 - Advances in numerical and analytic approaches for the study of non-spatial stochastic dynamical systems in molecular biology

Co-author: Ting Wang (University of Delaware)

We provide an overview of some of the major Monte Carlo approaches for parametric sensitivities in stochastic chemical systems. The efficiency of a Monte Carlo approach depends in part on the variance of the estimator. It has been numerically observed that in several examples, that the finite difference (FD) and the (regularized) pathwise differentiation (RPD) methods tend to have lower variance than the Girsanov Tranformation (GT) estimator while the latter has the advantage of being unbiased. We present a theoretical explanation in terms of system volume asymptotics for the larger variance of the GT approach when compared to the FD methods. We also present an analysis of efficiency of the FD and GT methods in terms of desired error and system volume.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Queen’s Building Auditorium of Emmanuel College Goldsmiths 1, Lecture Theatre, Department of Materials Science & Metallurgy Department of History and Philosophy of Science

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