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:  We describe three state-of-the-art basis-adaptive approaches from the recent sparse PCE literature and conduct an extensive benchmark in terms of global approximation accuracy on a large set of computational models representative of a wide range of engineering problems .