Sample-efficient and Scalable Exploration in Continuous-Time RL

Fuente: arXiv
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Auteurs principaux: Iten, Klemens, Treven, Lenart, Sukhija, Bhavya, Dörfler, Florian, Krause, Andreas
Format: Preprint
Publié: 2025
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author Iten, Klemens
Treven, Lenart
Sukhija, Bhavya
Dörfler, Florian
Krause, Andreas
author_facet Iten, Klemens
Treven, Lenart
Sukhija, Bhavya
Dörfler, Florian
Krause, Andreas
contents Reinforcement learning algorithms are typically designed for discrete-time dynamics, even though the underlying real-world control systems are often continuous in time. In this paper, we study the problem of continuous-time reinforcement learning, where the unknown system dynamics are represented using nonlinear ordinary differential equations (ODEs). We leverage probabilistic models, such as Gaussian processes and Bayesian neural networks, to learn an uncertainty-aware model of the underlying ODE. Our algorithm, COMBRL, greedily maximizes a weighted sum of the extrinsic reward and model epistemic uncertainty. This yields a scalable and sample-efficient approach to continuous-time model-based RL. We show that COMBRL achieves sublinear regret in the reward-driven setting, and in the unsupervised RL setting (i.e., without extrinsic rewards), we provide a sample complexity bound. In our experiments, we evaluate COMBRL in both standard and unsupervised RL settings and demonstrate that it scales better, is more sample-efficient than prior methods, and outperforms baselines across several deep RL tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2510_24482
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sample-efficient and Scalable Exploration in Continuous-Time RL
Iten, Klemens
Treven, Lenart
Sukhija, Bhavya
Dörfler, Florian
Krause, Andreas
Machine Learning
Artificial Intelligence
Robotics
Reinforcement learning algorithms are typically designed for discrete-time dynamics, even though the underlying real-world control systems are often continuous in time. In this paper, we study the problem of continuous-time reinforcement learning, where the unknown system dynamics are represented using nonlinear ordinary differential equations (ODEs). We leverage probabilistic models, such as Gaussian processes and Bayesian neural networks, to learn an uncertainty-aware model of the underlying ODE. Our algorithm, COMBRL, greedily maximizes a weighted sum of the extrinsic reward and model epistemic uncertainty. This yields a scalable and sample-efficient approach to continuous-time model-based RL. We show that COMBRL achieves sublinear regret in the reward-driven setting, and in the unsupervised RL setting (i.e., without extrinsic rewards), we provide a sample complexity bound. In our experiments, we evaluate COMBRL in both standard and unsupervised RL settings and demonstrate that it scales better, is more sample-efficient than prior methods, and outperforms baselines across several deep RL tasks.
title Sample-efficient and Scalable Exploration in Continuous-Time RL
topic Machine Learning
Artificial Intelligence
Robotics
url https://arxiv.org/abs/2510.24482