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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This is a very well-written paper that explores the use of weighted importance sampling to speed up learning in off-policy LSTD-type algorithms. The theoretical results are solid and what one would expect. The computational results are striking. The technique could serve as a useful component in design of RL algorithms. Q2: Please summarize your review in 1-2 sentences The paper is very well-written and presents a useful idea validated by striking computational results.