Response to Reviewer # 1

Neural Information Processing Systems 

"how come leverage score initialization gives no improvement on the bounds of Theorem 3.6 and 3.7..." Thank you for the comment. The reason is that both bounds in Theorem 3.6, 3.7 come from two parts: 1) "presentation need to improve..more discussion..." Thank you for the advice. "undefined notations and typos" RE: Thank you for pointing out. We will address these issues in the final version. "no experiments are provided in this paper ..." Thank you for the comment.