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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This paper presented a new method for spike-sorting, although the method itself is general and not limited to spike-sorting, and was presented in a generic way. The authors introduced two new ideas. First is to use SVD to define basis functions and compute precise spike times by interpolation, which is I think a very neat idea. To this end, Taylor or polar interpolators are previously used (Ekanadham et al., 2011), but the authors pointed out that SVD-based method is theoretically optimal in MSE sense.