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This paper addresses the computational bottleneck in safe reinforcement learning by replacing expensive Gaussian process models with a constant-time Nadaraya-Watson estimator. The proposed \textsc{CoLSafe-MDP} algorithm maintains safety guarantees for constrained Markov decision processes while significantly reducing scaling costs compared to traditional methods. Evaluations on grid environments and Martian terrain data demonstrate its efficacy in optimizing exploration without prohibitive resource overhead.
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Computationally efficient safe exploration in reinforcement learning

arXiv2 min read

arXiv:2609.22919v1 Announce Type: new Abstract: Reinforcement learning in real-life applications requires safety guarantees during exploration. Typical reinforcement learning algorithms do not provide such guarantees, and many modifications that do rely on Gaussian processes (GPs), which have a large computational cost. We propose a computationally lightweight algorithm based on the Nadaraya-Watson estimator that safely explores and optimizes constrained Markov decision processes (MDPs). Our algorithm, \textsc{CoLSafe-MDP}, uses an estimator that scales in constant-time with bounds on the estimates, a significant improvement from its GP-based counterparts that scale cubically with the number of data points. We then evaluate its performance in a grid-based environment and on observational Martian terrain data.

Abstract:Reinforcement learning in real-life applications requires safety guarantees during exploration. Typical reinforcement learning algorithms do not provide such guarantees, and many modifications that do rely on Gaussian processes (GPs), which have a large computational cost. We propose a computationally lightweight algorithm based on the Nadaraya-Watson estimator that safely explores and optimizes constrained Markov decision processes (MDPs). Our algorithm, \textsc{CoLSafe-MDP}, uses an estimator that scales in constant-time with bounds on the estimates, a significant improvement from its GP-based counterparts that scale cubically with the number of data points. We then evaluate its performance in a grid-based environment and on observational Martian terrain data.

Machine Learning (cs.LG); Robotics (cs.RO); Systems and Control (eess.SY)

arXiv:2609.22919 [cs.LG]

(or arXiv:2609.22919v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2609.22919 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 202 words

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