Reinforcement learning with supervision by combining multiple learnings and expert advices

In this paper, we provide a formal coherent learning framework where reinforcement learning is combined with multiple learnings and expert advices toward accelerating convergence speed of learning. Our approach is simply to use a nonstationary "potential-based reinforcement function" for shaping the reinforcement signal given to the learning "base-agent". The base-agent employes SARSA(O) or adaptive asynchronous value iteration (VI), and the supervised inputs to the base-agent from the "subagents" involved with other parallel independent reinforcement learnings and if available, from experts are "merged" into the potential-based reinforcement function value and the value is put into the update equation of SARSA(O) for the Q-function estimate or of adaptive asynchronous VI for the optimal value function estimate. The resulting SARSA(O) and adaptive asynchronous VI converge to an optimal policy, respectively