Peer Reviews
This page is very well written and organized. The way you have summarized the many points in coresets and Bayesian coresets is very great.
As David has mentioned, I think that any example of how finding a coreset is done and how good the resulting approximation is and how hard it is to achieve such approximation (both computationally and methodologically) would help the reader. I do not mean that you should add details about exact algorithms and bounds, but mentioning some examples in only the first few sections would definitely help the reader to follow those sections more easily and better understand the final sections. Right now, I understand what the goal of coresets are, but I do not know how they actually do that.