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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This paper reduces a broad class of machine learning problems involving latent variables to the problem of finding anchors defining the conical hull of the data (via the method of moments). In addition, it proposes a new divide-and-conquer algorithm based on random projections to speed up the search for the anchors. Overall, I found this an interesting paper presenting significant contributions. However the presentation could be greatly improved as it lacks clarity here and there. It looks like this paper was squeezed in a hurry to fit the 8-page limit.