Regression-based complexity reduction of the nested Monte Carlo methods
  In this paper we propose a novel dual regression-based approach for pricing American options. This approach reduces the complexity of the nested Monte Carlo method and has especially simple form for time discretised diffusion processes. We analyse the complexity of the proposed approach both in the case of fixed and increasing number of exercise dates. The method is illustrated by several numerical examples. 
Denis Belomestny, Stefan H\"afner and Mikhail Urusov
q-fin.CP