On a convergent off -policy temporal difference learning algorithm in   on-line learning environment
  In this paper we provide a rigorous convergence analysis of a "off"-policy temporal difference learning algorithm with linear function approximation and per time-step linear computational complexity in "online" learning environment. The algorithm considered here is TDC with importance weighting introduced by Maei et al. We support our theoretical results by providing suitable empirical results for standard off-policy counterexamples. 
Prasenjit Karmakar, Rajkumar Maity, Shalabh Bhatnagar
cs.LG