We would first like to thank the reviewers for especially detailed and high quality reviews

We would first like to thank the reviewers for especially detailed and high quality reviews. That said, this may have had the opposite effect of being confusing. Simple blurs are another example of a semigroup action on the whole signal. Resource Efficient Image Classification" (Huang et al., 2018) are also very interesting and have now been added to our Indeed, in Dilated Residual Networks (Y u et al., 2017), there is no bandlimiting at all (we Moreover, maybe the use of dilated convolutions in the end "does Furthermore, in related works there are no "standard ImageNet, but in Feature Pyramid Networks, the authors look at COCO. We do intend to extend the current work to other domains and to other kinds of semigroup action.