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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The paper is aiming to speed up optimization for the of graphical model MAP problem. The authors suggest a coarse to fine approach and clearly motivate their work. The method suggested by the authors combines label pruning for each variable with sequential optimization of the pruned, yet finer problem. As far as i can tell, the work is original and correct.