Alternating Optimisation and Quadrature for Robust Reinforcement Learning

Bayesian optimisation has been successfully applied to a variety of reinforcement learning problems. However, the traditional approach for learning optimal policies in simulators does not utilise the opportunity to improve learning by adjusting certain environment variables - state features that are randomly determined by the environment in a physical setting but are controllable in a simulator. This paper considers the problem of finding an optimal policy while taking into account the impact of environment variables. We present the alternating optimisation and quadrature algorithm which uses Bayesian optimisation and Bayesian quadrature to address such settings and is robust to the presence of significant rare events, which may not be observable under random sampling but have a considerable impact on determining the optimal policy. Our experimental results show that our approach learns better and faster than existing methods.