R2 If there is one sampling scheme [ ] it must be explained better [ ] this part should be very clean and clear

We thank reviewers R1, R2 and R3 for their constructive com ments. We give here answers to the main ones. R2 If there is one sam pling scheme [...] it must be ex plained bet ter [...] this part should be very clean and clear . R1 I also ex pect more de tails on the method olog i cal mod i fi ca tion over BH for the pro posed sam pling method. We agree, and we have expanded Section 3.3 and Appendix A.4 to shed light on The original sampling algorithm for projection DPPs by Hough et al. (2006, Algorithm 18) works as follows.