Before revision:   We describe three state-of-the-art basis-adaptive approaches from the recent sparse PCE literature and extensively benchmark them in terms of global approximation accuracy on a large set of computational models representative of a wide range of engineering problems .
After revision:  The goal of this paper is to help practitioners identify the most suitable methods for constructing a surrogate PCE for their model. We describe three state-of-the-art basis-adaptive approaches from the recent sparse PCE literature and extensively benchmark them in terms of global approximation accuracy on a large set of computational models representative of a wide range of engineering problems .