For the experiments in our paper, we focused on dimensions which we think are commonly used to

We thank the reviewers very much for their time and valuable feedback. Our MCMC method significantly outperforms the other MCMC methods. Monte Carlo (PMC) [35] which is an iterated importance sampling method with connections to SMC. SA-MCMC uses a "global" proposal distribution like IMH but unlike many MCMC methods. We will add the references and discuss future directions in our revision.