Response to Reviewer 2: Thanks for your helpful comments

Response to Reviewer 1: Thank you for your supportive comments! We will fix the typos in the final version. "The proposed algorithm is a relatively standard extension of SG-HMC and SGLD. From the perspective of the design of our algorithm, we admit that our algorithm is an extension of SG-HMC. More importantly, the corresponding theoretical guarantees of our algorithm outperform the state-of-the-art. Q2: "The following articles might also be related..." A2: Thank you for pointing out these related articles. We will definitely cite and discuss them in the final version. "Why not show figures that compare these samples against some ground truth, for example, those obtained by HMC (which is feasible to obtain for GMM and ICA)?