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Conference Papers Year : 2011

Recursive Least-Squares Learning with Eligibility Traces

Bruno Scherrer
Matthieu Geist


In the framework of Markov Decision Processes, we consider the problem of learning a linear approximation of the value function of some fixed policy from one trajectory possibly generated by some other policy. We describe a systematic approach for adapting on-policy learning least squares algorithms of the literature (LSTD, LSPE, FPKF and GPTD/KTD) to off-policy learning with eligibility traces. This leads to two known algorithms, LSTD($\lambda$)/LSPE($\lambda$) and suggests new extensions of FPKF and GPTD/KTD. We describe their recursive implementation, discuss their convergence properties, and illustrate their behavior experimentally. Overall, our study suggests that the state-of-art LSTD($\lambda$) remains the best least-squares algorithm.
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hal-00644511 , version 1 (24-11-2011)


  • HAL Id : hal-00644511 , version 1


Bruno Scherrer, Matthieu Geist. Recursive Least-Squares Learning with Eligibility Traces. European Wrokshop on Reinforcement Learning (EWRL 11), Sep 2011, Athens, Greece. ⟨hal-00644511⟩
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