Provably Efficient Off-Policy Adversarial Imitation Learning with Convergence Guarantees

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Hauptverfasser: Chen, Yilei, Giammarino, Vittorio, Queeney, James, Paschalidis, Ioannis Ch.
Format: Preprint
Veröffentlicht: 2024
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author Chen, Yilei
Giammarino, Vittorio
Queeney, James
Paschalidis, Ioannis Ch.
author_facet Chen, Yilei
Giammarino, Vittorio
Queeney, James
Paschalidis, Ioannis Ch.
contents Adversarial Imitation Learning (AIL) faces challenges with sample inefficiency because of its reliance on sufficient on-policy data to evaluate the performance of the current policy during reward function updates. In this work, we study the convergence properties and sample complexity of off-policy AIL algorithms. We show that, even in the absence of importance sampling correction, reusing samples generated by the $o(\sqrt{K})$ most recent policies, where $K$ is the number of iterations of policy updates and reward updates, does not undermine the convergence guarantees of this class of algorithms. Furthermore, our results indicate that the distribution shift error induced by off-policy updates is dominated by the benefits of having more data available. This result provides theoretical support for the sample efficiency of off-policy AIL algorithms. To the best of our knowledge, this is the first work that provides theoretical guarantees for off-policy AIL algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16668
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Provably Efficient Off-Policy Adversarial Imitation Learning with Convergence Guarantees
Chen, Yilei
Giammarino, Vittorio
Queeney, James
Paschalidis, Ioannis Ch.
Machine Learning
Adversarial Imitation Learning (AIL) faces challenges with sample inefficiency because of its reliance on sufficient on-policy data to evaluate the performance of the current policy during reward function updates. In this work, we study the convergence properties and sample complexity of off-policy AIL algorithms. We show that, even in the absence of importance sampling correction, reusing samples generated by the $o(\sqrt{K})$ most recent policies, where $K$ is the number of iterations of policy updates and reward updates, does not undermine the convergence guarantees of this class of algorithms. Furthermore, our results indicate that the distribution shift error induced by off-policy updates is dominated by the benefits of having more data available. This result provides theoretical support for the sample efficiency of off-policy AIL algorithms. To the best of our knowledge, this is the first work that provides theoretical guarantees for off-policy AIL algorithms.
title Provably Efficient Off-Policy Adversarial Imitation Learning with Convergence Guarantees
topic Machine Learning
url https://arxiv.org/abs/2405.16668