Comparing Value-Function Estimation Algorithms in Undiscounted Problems

Beleznay, Ferenc , Tamas Grobler, Csaba Szepesvari
Comparing Value-Function Estimation Algorithms in Undiscounted Problems
unpublished ( gzipped Postscript - 104 )

Abstract: We compare scaling properties of several value-function estimation algorithms. In particular, we prove that Q-learning can scale exponentially slowly with the number of states. We identify the reasons of the slow convergence and show that both TD($\lambda$) and learning with a fixed learning-rate enjoy rather fast convergence, just like the model-based method.