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Neural Information Processing Systems 

First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. Please also discuss on how this can be extended to the analysis of ADMM. This paper is an extension of Tseng [20], Tseng and Yun A coordinate gradient descent method for nonsmooth separable minimization and Zhang et al. [22], which established the same result using the error-bound condition for lasso and group lasso, to the trace norm. This is a non-trivial extension but the contribution seems purely technical. The presentation of the proofs is mostly clear.