Reinforcement Learning
SPQR: Controlling Q-ensemble Independence with Spiked Random Model for Reinforcement Learning
In order to overcome overestimation bias, ensemble methods for Q-learning have been investigated to exploit the diversity of multiple Q-functions. Since network initialization has been the predominant approach to promote diversity in Q-functions, heuristically designed diversity injection methods have been studied in the literature. However, previous studies have not attempted to approach guaranteed independence over an ensemble from a theoretical perspective.
Appendix A Control algorithm The action-value function can be decomposed into two components as: Q (PT) (s, a) = Q (P) (s, a) + Q (T) w
We use induction to prove this statement. The penultimate step follows from the induction hypothesis completing the proof. Then, the fixed point of Eq.(5) is the value function of in f M . We focus on permanent value function in the next two theorems. The permanent value function is updated using Eq.