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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The paper extends the work of Arora et al by relaxing one assumption and adding another. Topics can have multiple distinctive words rather than a single distinctive word, and each document has a single dominant topic. The authors show that an SVD on a truncated version of the document-words matrix can reconstruct topics under these assumptions to within a provable bound, assuming that the model is valid. I like that the authors attempt to validate the assumptions.