We derive a model problem for quasicontinuum approximations that allows a simple, yet insightful, analysis of the optimal-order convergence rate in the continuum limit for both the energy-based ...

In this paper we address the issue of parameter risk in the loss distribution approach to operational risk management. When the risk measure belongs to the class of distortion risk measures and the ...

This paper proposes a new deep-learning-based algorithm for high-dimensional Bermudan option pricing. To the best of our knowledge, this is the first study of the arbitrary-order discretization scheme ...