computationally efficient and accurate method for approximate cross-validation (ACV) in the following setting: 2

We thank the reviewers for their helpful comments. We completely agree and will be sure to make this point very early in a revised manuscript. We will be sure to include both numbers and figures in a revision. We prove (Section 4) that the IJ approximation error increases smoothly with the error in the initial fit. Our neural CRF experiments in Section 5 provide empirical confirmation.