Nested MLMC with preintegration achieves a strong convergence rate of -1 for risk estimation, yielding nearly optimal computational complexity compared to standard MLMC's -1/2 rate.
Recent advances in randomized quasi-Monte Carlo methods.Modeling uncertainty: An examination of stochastic theory, methods, and applica- tions, pages 419–474
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Nested Multilevel Monte Carlo with Preintegration for Efficient Risk Estimation
Nested MLMC with preintegration achieves a strong convergence rate of -1 for risk estimation, yielding nearly optimal computational complexity compared to standard MLMC's -1/2 rate.