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Neural Information Processing Systems 

First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This paper combines evidence-based clustering with an importance sampling approach. It further optimizes the weight function calculation of importance sampling, by using a second sampler to estimate the number of true groundings. I recommend to accept this paper because of the importance of the evidence problem, and the fact that the proposed solution is very general and scalable. The paper is well-written and clear, except for Figure 1 (b) and Equations 5,6, and 7, which are poorly explained.