{The article of Marie and Loos describes a regularized $GW$ approach inspired by the similarity renormalization group second-order perturbative analysis to the linear $GW$ eigenvalue equations. The article is well-organized and the presentation is clear. I think this article can be accepted as is. Nonetheless, I do have a few minor suggestions.}
{In Eq. (45), the authors mention a reverse approach where, if I understand correctly, the $\omega$-dependent self-energy is directly modified using the SRG regularizer. How does this approach perform on $GW$50 and compare to qs$GW$ and SRG-qs$GW$?}
{I am a bit surprised that the SRG-qs$GW$ converges all molecules for $s =1000$ but not for $s =5000$. The energy cutoff window is very narrow here: $0.032$-$0.014$ Ha. Moreover, from Figs. 3, 4, and 6, the IPs are roughly converged in the order of $s =50$ to a few $100$. I think an analysis of the denominators $\Delta^{\nu}_{pr}$ for the typical molecules would be very informative. In particular, what are the several smallest denominators at the beginning and how do they change along the self-consistency procedure?}
{In Eq. (18), I think $H^{\text{od}}$ is generally not a square matrix and it is better to say $H^{\text{od}}(s)^\dagger H^{\text{od}}(s)$ instead of $H^{\text{od}}(s)^2$.}
{I think the y axis (counts in each bin) should be presented in Figs. 5 and 7. Or at least the limit of y axis should be fixed for all subplots in Fig. 5 or Fig. 7.}
{This is an excellent manuscript, which I very much enjoyed reading. In particular, it includes a comprehensive overview of the literature in the field, which I find very valuable (ref. 119 should be updated). The final result is an expression with a slightly different regularization as before, but it works well, is well-founded, and is easy to implement. I don't see arguments against it.}
The authors used the "dagger" symbol in eq. (21) and further, although they use real-valued spin-orbitals. In that case, also the matrices $W$ are real. It seems more consistent to either allow for complex-valued spin-orbitals (e.g. in eq. (8)) or only use the matrix transpose.}
\alert{Indeed, this is inconsistent. Therefore, we have changed the definition in Eq.~(8) in order to allow for complex-valued spin-orbitals. We thank the reviewer for pointing this out.}
\textcolor{red}{\textit{''Note that a positive EA indicates a bounded anion state, which can be accurately described by the methods considered in this study. However, a negative EA suggests a resonance state, which is beyond the scope of the methods used in this study, including the $\Delta$CCSD(T) reference. As such, it is not advisable to assign a physical interpretation to these values. Nonetheless, it is possible to compare $GW$-based and $\Delta$CCSD(T) values in such cases, provided that the comparison is limited to a given basis set.''}}