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Finite-Time Performance Bounds and Adaptive Learning Rate Selection for Two Time-Scale Reinforcement Learning
Harsh Gupta · R. Srikant · Lei Ying

Wed Dec 11 10:45 AM -- 12:45 PM (PST) @ East Exhibition Hall B + C #207

We study two time-scale linear stochastic approximation algorithms, which can be used to model well-known reinforcement learning algorithms such as GTD, GTD2, and TDC. We present finite-time performance bounds for the case where the learning rate is fixed. The key idea in obtaining these bounds is to use a Lyapunov function motivated by singular perturbation theory for linear differential equations. We use the bound to design an adaptive learning rate scheme which significantly improves the convergence rate over the known optimal polynomial decay rule in our experiments, and can be used to potentially improve the performance of any other schedule where the learning rate is changed at pre-determined time instants.

Author Information

Harsh Gupta (University of Illinois at Urbana-Champaign)
R. Srikant (University of Illinois at Urbana-Champaign)
Lei Ying (ASU)

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