text: This paper studies a new architecture DualAC.  The author give strong and convincing justifications based on the Lagrangian dual of the Bellman equation  (although not new, introducing this as the justification for the architecture design is plausible). There are several drawbacks of the current format of the paper: 1. The algorithm is vague.  Alg 1 line 5: 'closed form':  there is no closed form in Eq(14).  It is just an MC approximation. line 6: Decay O(1/t^\beta).  This is indeed vague albeit easy to understand.  The algorithm requires that every step is crystal clear. 2. Also, there are several format error which may be due to compiling, e.g., line 2 of Abstract,'Dual-AC ' (an extra space).  There are many format errors like this throughout the paper.  The author is suggested to do a careful format check. 3. The author is suggested to explain more about the necessity of introducing path regularization and SDA.  The current justification is reasonable but too brief. 4. The experimental part is ok to me,  but not very impressive. Overall, this seems to be a nice paper to me.