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Hauptverfasser: Pavlovic, Nikola, Vakili, Sattar, Zhao, Qing
Format: Preprint
Veröffentlicht: 2026
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2605.23650
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author Pavlovic, Nikola
Vakili, Sattar
Zhao, Qing
author_facet Pavlovic, Nikola
Vakili, Sattar
Zhao, Qing
contents Human feedback often arrives as preferences rather than calibrated numeric rewards, motivating reinforcement learning from preferential feedback, also referred to as reinforcement learning from human feedback (RLHF). We present a rigorous theoretical study of preference-only learning in episodic kernel MDPs. In each episode, the learner deploys two policies from a common start state and receives a single binary label indicating which trajectory is preferred, modeled by a Bradley--Terry--Luce link on the difference of cumulative (unobserved) rewards. Under kernel-based assumptions on the reward and transition functions (one of the most general models amenable to theoretical analysis) we develop preference-based value estimation and confidence sets tailored to end-of-episode comparisons. We prove high-probability regret bounds that scale sublinearly in the number of episodes, implying that the value of the learned policy converges to that of the optimal policy.
format Preprint
id arxiv_https___arxiv_org_abs_2605_23650
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Learning Kernel-Based MDPs from Episodic Preferential Feedback
Pavlovic, Nikola
Vakili, Sattar
Zhao, Qing
Machine Learning
Human feedback often arrives as preferences rather than calibrated numeric rewards, motivating reinforcement learning from preferential feedback, also referred to as reinforcement learning from human feedback (RLHF). We present a rigorous theoretical study of preference-only learning in episodic kernel MDPs. In each episode, the learner deploys two policies from a common start state and receives a single binary label indicating which trajectory is preferred, modeled by a Bradley--Terry--Luce link on the difference of cumulative (unobserved) rewards. Under kernel-based assumptions on the reward and transition functions (one of the most general models amenable to theoretical analysis) we develop preference-based value estimation and confidence sets tailored to end-of-episode comparisons. We prove high-probability regret bounds that scale sublinearly in the number of episodes, implying that the value of the learned policy converges to that of the optimal policy.
title Learning Kernel-Based MDPs from Episodic Preferential Feedback
topic Machine Learning
url https://arxiv.org/abs/2605.23650