Reinforcement Learning from Human Feedback, a powerful technique for refining artificial intelligence systems, currently lacks a robust theoretical foundation, hindering further progress. Di Wu, Chengshuai Shi from Princeton University, Jing Yang and Cong Shen from the University of Virginia now demonstrate that a surprisingly simple approach, termed ‘greedy sampling’, achieves significant performance improvements over existing methods. Their work addresses the challenges of learning from preference feedback, a common form of human input, and establishes guarantees for algorithms that directly utilise empirical estimates. This breakthrough reveals a fundamental property of optimal policies within the learning process, highlighting the surprising effectiveness of a straightforward strategy for enhancing AI systems through human guidance.
Learning from Human Preferences with Online RLHF
This research explores algorithms that learn from human preferences, a crucial area for tasks like generating creative content or building dialogue systems where defining explicit rewards is difficult. Scientists investigated preference-based reinforcement learning and online reinforcement learning from human feedback (RLHF), focusing on how algorithms can effectively learn from human choices. The study compares greedy sampling, which selects actions based on current estimates, with optimistic exploration, which actively seeks out uncertain actions, revealing key differences in their performance. A significant achievement of this work is the development of theoretical bounds on algorithm performance, establishing convergence rates and sample complexity. Researchers rigorously analyzed the algorithms, providing mathematical guarantees for their effectiveness, and validated these findings experimentally. This comprehensive analysis establishes a strong foundation for future advancements in preference-based reinforcement learning.
Preference Learning with KL-Regularized Bandits
This work pioneers a new understanding of reinforcement learning from human feedback (RLHF), a cornerstone of modern large language model (LLM) training. Researchers developed a framework for analyzing KL-regularized contextual bandits, modeling the interaction between a learning agent and human annotators providing preference feedback. The study rigorously examines both general preference models and the commonly used Bradley-Terry model, achieving significant improvements in performance guarantees compared to existing methods. At the core of this research is a game-theoretical formulation, where two players compete to maximize a value function reflecting human preferences.
Scientists define a value function incorporating the probability of preferring one action over another, alongside a KL-divergence term that regularizes the learned policy. This formulation allows for the identification of a unique Nash equilibrium, representing the optimal policy aligning with human values. Crucially, the team demonstrates that directly using empirical estimates of preferences, a “greedy sampling” approach, achieves comparable performance to more complex methods. This insight stems from the unique structural properties of the optimal policy class under KL-regularization, and is demonstrated with both general and Bradley-Terry preference models. The study establishes performance bounds matching existing upper bounds while simplifying the learning process.
Bounded Likelihood Ratios Guarantee RLHF Efficiency
This research presents a significant breakthrough in understanding Reinforcement Learning from Human Feedback (RLHF), a crucial technique powering modern large language models. Researchers have established provable efficiency for algorithms utilizing a surprisingly simple approach, greedy sampling, when learning from preference feedback, rather than absolute rewards. This contrasts with traditional reinforcement learning methods that rely on constructing optimistic or pessimistic estimates. The team demonstrated that, under the KL-regularized objective common in RLHF, candidate optimal policies remain within a bounded likelihood ratio of a reference policy, a structural property previously overlooked.
This discovery enables the derivation of a regret upper bound of O(log(T)) for online learning with a time horizon of T, and a sample complexity of O(ε−1) for offline learning to achieve an ε-optimal policy with single-policy coverage. These results represent a substantial improvement over prior work, achieving orders of magnitude better performance. Notably, these performance guarantees hold true for the general preference model, where human annotators simply indicate which of two options is preferred, and are also confirmed under the more specific Bradley-Terry preference model. This work establishes, for the first time, the provable efficiency of greedy sampling for RLHF, regardless of the preference model employed, and opens new avenues for designing computationally efficient and effective learning algorithms.
Greedy Sampling Achieves Efficient Reinforcement Learning
This research significantly advances the theoretical understanding of reinforcement learning from human feedback, a technique increasingly used to refine artificial intelligence systems. Scientists have demonstrated that a surprisingly simple approach, termed ‘greedy sampling’, provably achieves efficient learning under both general preference models and the more established Bradley-Terry model. Specifically, the team achieved logarithmic regret bounds in online learning scenarios and demonstrated efficient sample complexity in offline settings, representing a substantial improvement over existing theoretical guarantees. Notably, these results were obtained without the need for complex confidence bound construction, reducing computational demands while maintaining performance comparable to previous methods.
The key insight driving this achievement lies in the properties of KL regularization, which confines potential optimal policies within a predictable range around a reference policy. Simulation results corroborate the effectiveness of this approach across both preference models, validating the theoretical findings. This work provides a strong foundation for further development of efficient and scalable reinforcement learning algorithms that can effectively leverage human feedback. Researchers acknowledge that future work could explore the application of these findings to more complex scenarios and investigate the robustness of the greedy sampling approach under different conditions.
👉 More information
🗞 Greedy Sampling Is Provably Efficient for RLHF
🧠 ArXiv: https://arxiv.org/abs/2510.24700
