A Pontryagin Perspective on Reinforcement Learning
- URL: http://arxiv.org/abs/2405.18100v2
- Date: Thu, 28 Nov 2024 19:13:52 GMT
- Title: A Pontryagin Perspective on Reinforcement Learning
- Authors: Onno Eberhard, Claire Vernade, Michael Muehlebach,
- Abstract summary: We introduce the paradigm of open-loop reinforcement learning where a fixed action sequence is learned instead.
We present three new algorithms: one robust model-based method and two sample-efficient model-free methods.
- Score: 11.56175346731332
- License:
- Abstract: Reinforcement learning has traditionally focused on learning state-dependent policies to solve optimal control problems in a closed-loop fashion. In this work, we introduce the paradigm of open-loop reinforcement learning where a fixed action sequence is learned instead. We present three new algorithms: one robust model-based method and two sample-efficient model-free methods. Rather than basing our algorithms on Bellman's equation from dynamic programming, our work builds on Pontryagin's principle from the theory of open-loop optimal control. We provide convergence guarantees and evaluate all methods empirically on a pendulum swing-up task, as well as on two high-dimensional MuJoCo tasks, significantly outperforming existing baselines.
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