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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Statistics Seminars: Control Functionals for Monte Carlo Integration

Presented by Mark Girolami, Department of Statistics, University of Warwick

7 March 2016 14:00 in CM221

A class of estimators for Monte Carlo integration is proposed that leverages gradient information on the sampling distribution to improve statistical efficiency. The novel contributions of this work are based on two important insights; (i) a trade-off between random sampling and deterministic approximation and (ii) a new gradient-based Hilbert space. The proposed estimators can be viewed as a non-parametric development of control variates. Unlike control variates, however, our estimator achieve super-root-n rates of convergence, often requiring orders of magnitude fewer simulations to achieve a fixed level of precision. Theoretical and empirical results are presented, the latter focusing on integration problems arising in hierarchical models and models based on non-linear ordinary differential equations.

Contact sunil.chhita@durham.ac.uk for more information