Export Reviews, Discussions, Author Feedback and Meta-Reviews

First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. Summary: The paper describes an efficient optimization approach to find structured low-rank matrices. The structure is encoded by a linear map and enforcing low rank is achieved by adding to the cost function the nuclear norm of the structured matrix. The cost function is optimized with a generalized conditional gradient algorithm. By using a factorization of the large structured matrix the optimization is accelerated further.