Before revision:  Our proof relies on a recent result on the stability of the associated deterministic inverse problem 10 , on trace operator theory, and on the existence of exact quadrature rules for a discrete scheme involving the underlying integral operator. The existence of such a discrete scheme was proved by Yarvin and Rokhlin, 16 . Our algorithm models the regularization constant C for the linear part of the inverse problem as a random variable allowing us to sweep through a wide range of possible values.
After revision:  Our proof relies on a recent result on the stability of the associated deterministic inverse problem 10 16 . Our algorithm models the regularization constant C for the linear part of the inverse problem as a random variable allowing us to sweep through a wide range of possible values.