Optimal Design for Reward Modeling in RLHF
On the map: LLM alignment / RLHF / preference optimisation → Reward modeling and RLHF
Abstract (arXiv)
Reinforcement Learning from Human Feedback (RLHF) has become a popular approach to align language models (LMs) with human preferences. This method involves collecting a large dataset of human pairwise preferences across various text generations and using it to infer (implicitly or explicitly) a reward model. Numerous methods have been proposed to learn the reward model and align a LM with it. However, the costly process of collecting human preferences has received little attention and could benefit from theoretical insights. This paper addresses this issue and aims to formalize the reward training model in RLHF. We frame the selection of an effective dataset as a simple regret minimization task, using a linear contextual dueling bandit method. Given the potentially large number of arms, this approach is more coherent than the best-arm identification setting. We then propose an offline framework for solving this problem. Under appropriate assumptions - linearity of the reward model in the embedding space, and boundedness of the reward parameter - we derive bounds on the simple regret. Finally, we provide a lower bound that matches our upper bound up to constant and logarithmic terms. To our knowledge, this is the first theoretical contribution in this area to provide an offline approach as well as worst-case guarantees.
Key facts. Cited by 25 papers in the map (data through 14 Oct 2026). Placed in Reward modeling and RLHF, one of 10 directions in LLM alignment / RLHF / preference optimisation. Builds on 51 of its 66 references that are in the map. First posted on arXiv 22 Oct 2024.
Builds on
51 of 66 references.
Closest ancestors · 14
Same direction, newest first
- 2024Towards Data-Centric RLHF: Simple Metrics for Preference Dataset Comparison15 Sep
- 2024Off-Policy Evaluation from Logged Human Feedback14 Jun
- 2024Value-Incentivized Preference Optimization: A Unified Approach to Online and Offline RLHF29 May
- 2024Dataset Reset Policy Optimization for RLHF12 Apr
- 2024Reinforcement Learning from Human Feedback with Active Queries14 Feb
- 2024Iterative Data Smoothing: Mitigating Reward Overfitting and Overoptimization in RLHF29 Jan
- 2023Nash Learning from Human Feedback1 Dec
- 2023RLHF-Blender: A Configurable Interactive Interface for Learning from Diverse Human Feedback8 Aug
- 2023Open Problems and Fundamental Limitations of Reinforcement Learning from Human Feedback27 Jul
- 2023Is RLHF More Difficult than Standard RL?25 Jun
- 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Model29 May
- 2020Active Preference-Based Gaussian Process Regression for Reward Learning6 May
2 more
Other references · 37
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
- 2020Language Models are Few-Shot Learnerscited by 32,419
- 2022Training language models to follow instructions with human feedbackcited by 15,971
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,380
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
- 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,372
- 2019Sentence-BERT: Sentence Embeddings using Siamese BERT-Networkscited by 9,170
- 2019Parameter-Efficient Transfer Learning for NLPcited by 4,236
- 2021The Power of Scale for Parameter-Efficient Prompt Tuningcited by 3,795
- 2023Sparks of Artificial General Intelligence: Early experiments with GPT-4cited by 2,592
- 2023A General Theoretical Paradigm to Understand Learning from Human Preferencescited by 912
25 more
- 2023A Comprehensive Overview of Large Language Modelscited by 648
- 2023Recommender Systems in the Era of Large Language Models (LLMs)cited by 189
- 2020Improved Optimistic Algorithms for Logistic Banditscited by 118
- 2024Understanding the performance gap between online and offline alignment algorithmscited by 110
- 2021Dueling RL: Reinforcement Learning with Trajectory Preferencescited by 106
- 2015Contextual Dueling Banditscited by 101
- 2014Best-Arm Identification in Linear Banditscited by 100
- 2024Is Cosine-Similarity of Embeddings Really About Similarity?cited by 89
- 2020Gamification of Pure Exploration for Linear Banditscited by 63
- 2020Instance-Wise Minimax-Optimal Algorithms for Logistic Banditscited by 57
- 2019Dueling Posterior Sampling for Preference-Based Reinforcement Learningcited by 56
- 2015Regret Lower Bound and Optimal Algorithm in Dueling Bandit Problemcited by 52
- 2022Stochastic Contextual Dueling Bandits under Linear Stochastic Transitivity Modelscited by 37
- 2016Multidimensional Binary Search for Contextual Decision-Makingcited by 27
- 2019Preference-Based Learning for Exoskeleton Gait Optimizationcited by 24
- 2023Improved Regret Bounds of (Multinomial) Logistic Bandits via Regret-to-Confidence-Set Conversioncited by 24
- 2023An Overview on Language Models: Recent Developments and Outlookcited by 22
- 2023Variance-Aware Regret Bounds for Stochastic Contextual Dueling Banditscited by 22
- 2019Old Dog Learns New Tricks: Randomized UCB for Bandit Problemscited by 21
- 2024Nearly Minimax Optimal Regret for Multinomial Logistic Banditcited by 20
- 2023Sample Efficient Preference Alignment in LLMs via Active Explorationcited by 18
- 2024Optimal Design for Human Preference Elicitationcited by 17
- 2022Human Preferences as Dueling Banditscited by 14
- 2021Teaching an Active Learner with Contrastive Examplescited by 12
- 2024OPTune: Efficient Online Preference Tuningcited by 10
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Citing papers per year: 2024: 1; 2025: 17; 2026: 7.
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- 2025What Makes a Reward Model a Good Teacher? An Optimization Perspectivecited by 73
- 2025PILAF: Optimal Human Preference Sampling for Reward Modelingcited by 20
- 2025A Survey on Progress in LLM Alignment from the Perspective of Reward Designcited by 15
- 2025FisherSFT: Data-Efficient Supervised Fine-Tuning of Language Models Using Information Gaincited by 15
- 2025Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selectioncited by 12
- 2025Active Learning for Direct Preference Optimizationcited by 10
- 2025Uncertainty Quantification for Large Language Model Reward Learning under Heterogeneous Human Feedbackcited by 9
- 2025Why is Your Language Model a Poor Implicit Reward Model?cited by 6
- 2025Best Policy Learning from Trajectory Preference Feedbackcited by 5
- 2025Do Large Language Models (Really) Need Statistical Foundations?cited by 5
- 2025FraPPE: Fast and Efficient Preference-based Pure Explorationcited by 4
- 2025Optimizing LVLMs with On-Policy Data for Effective Hallucination Mitigationcited by 4
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- 2025Efficient Preference-Based Reinforcement Learning: Randomized Exploration Meets Experimental Designcited by 3
- 2025Preference-based Reinforcement Learning beyond Pairwise Comparisons: Benefits of Multiple Optionscited by 2
- 2025The Sign Estimator: LLM Alignment in the Face of Choice Heterogeneitycited by 2
- 2024An Overview and Discussion on Using Large Language Models for Implementation Generation of Solutions to Open-Ended Problemscited by 0
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- 2026Adaptive Simulation Experiment for LLM Policy Optimizationcited by 0
- 2026Goal-Conditioned Supervised Learning for LLM Fine-Tuningcited by 0
- 2026How Neural Reward Models Learn Features for Policy Optimization: A Single-Index Analysiscited by 0
- 2026Which Pairs to Compare for LLM Post-Training?cited by 0
- 2026Which Pairs to Compare for LLM Post-Training?17 Jun 2026
- 2026How Neural Reward Models Learn Features for Policy Optimization: A Single-Index Analysis23 May 2026
- 2026Goal-Conditioned Supervised Learning for LLM Fine-Tuning8 May 2026
- 2026Adaptive Simulation Experiment for LLM Policy Optimization9 Apr 2026
- 2026Reinforcement Learning from Human Feedback: A Statistical Perspective2 Apr 2026
- 2026Nearly Optimal Active Preference Learning and Its Application to LLM Alignment2 Feb 2026
- 2026Microeconomic Foundations of Multi-Agent Learning6 Jan 2026
- 2025Multi-Objective Reward and Preference Optimization: Theory and Algorithms11 Dec 2025
- 2025Uncertainty Quantification for Large Language Model Reward Learning under Heterogeneous Human Feedback2 Dec 2025
- 2025Optimizing LVLMs with On-Policy Data for Effective Hallucination Mitigation30 Nov 2025
- 2025The Sign Estimator: LLM Alignment in the Face of Choice Heterogeneity28 Oct 2025
- 2025Preference-based Reinforcement Learning beyond Pairwise Comparisons: Benefits of Multiple Options21 Oct 2025
13 more
- 2025FraPPE: Fast and Efficient Preference-based Pure Exploration22 Aug 2025
- 2025Why is Your Language Model a Poor Implicit Reward Model?10 Jul 2025
- 2025Efficient Preference-Based Reinforcement Learning: Randomized Exploration Meets Experimental Design11 Jun 2025
- 2025Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selection5 Jun 2025
- 2025Do Large Language Models (Really) Need Statistical Foundations?25 May 2025
- 2025FisherSFT: Data-Efficient Supervised Fine-Tuning of Language Models Using Information Gain20 May 2025
- 2025A Survey on Progress in LLM Alignment from the Perspective of Reward Design5 May 2025
- 2025Reasoning without Regret14 Apr 2025
- 2025What Makes a Reward Model a Good Teacher? An Optimization Perspective19 Mar 2025
- 2025Active Learning for Direct Preference Optimization3 Mar 2025
- 2025PILAF: Optimal Human Preference Sampling for Reward Modeling6 Feb 2025
- 2025Best Policy Learning from Trajectory Preference Feedback31 Jan 2025
- 2024An Overview and Discussion on Using Large Language Models for Implementation Generation of Solutions to Open-Ended Problems31 Dec 2024
- 2025What Makes a Reward Model a Good Teacher? An Optimization Perspectivecited by 73
- 2025PILAF: Optimal Human Preference Sampling for Reward Modelingcited by 20
- 2025A Survey on Progress in LLM Alignment from the Perspective of Reward Designcited by 15
- 2025Active Learning for Direct Preference Optimizationcited by 10
- 2025Uncertainty Quantification for Large Language Model Reward Learning under Heterogeneous Human Feedbackcited by 9
- 2025Why is Your Language Model a Poor Implicit Reward Model?cited by 6
- 2025Best Policy Learning from Trajectory Preference Feedbackcited by 5
- 2026Reinforcement Learning from Human Feedback: A Statistical Perspectivecited by 4
- 2025Efficient Preference-Based Reinforcement Learning: Randomized Exploration Meets Experimental Designcited by 3
- 2025The Sign Estimator: LLM Alignment in the Face of Choice Heterogeneitycited by 2
- 2025Multi-Objective Reward and Preference Optimization: Theory and Algorithmscited by 0
- 2026Nearly Optimal Active Preference Learning and Its Application to LLM Alignmentcited by 0
12 most cited of 15 All 15 (JSON)
- 2026Which Pairs to Compare for LLM Post-Training?17 Jun 2026
- 2026How Neural Reward Models Learn Features for Policy Optimization: A Single-Index Analysis23 May 2026
- 2026Goal-Conditioned Supervised Learning for LLM Fine-Tuning8 May 2026
- 2026Reinforcement Learning from Human Feedback: A Statistical Perspective2 Apr 2026
- 2026Nearly Optimal Active Preference Learning and Its Application to LLM Alignment2 Feb 2026
- 2025Multi-Objective Reward and Preference Optimization: Theory and Algorithms11 Dec 2025
- 2025Uncertainty Quantification for Large Language Model Reward Learning under Heterogeneous Human Feedback2 Dec 2025
- 2025The Sign Estimator: LLM Alignment in the Face of Choice Heterogeneity28 Oct 2025
- 2025Why is Your Language Model a Poor Implicit Reward Model?10 Jul 2025
- 2025Efficient Preference-Based Reinforcement Learning: Randomized Exploration Meets Experimental Design11 Jun 2025
- 2025A Survey on Progress in LLM Alignment from the Perspective of Reward Design5 May 2025
- 2025What Makes a Reward Model a Good Teacher? An Optimization Perspective19 Mar 2025
12 newest of 15 All 15 (JSON)
- 2025FisherSFT: Data-Efficient Supervised Fine-Tuning of Language Models Using Information Gaincited by 15
- 2025Do Large Language Models (Really) Need Statistical Foundations?cited by 5
- 2025FraPPE: Fast and Efficient Preference-based Pure Explorationcited by 4
- 2024An Overview and Discussion on Using Large Language Models for Implementation Generation of Solutions to Open-Ended Problemscited by 0
- 2026Microeconomic Foundations of Multi-Agent Learningcited by 0
- 2026Adaptive Simulation Experiment for LLM Policy Optimizationcited by 0
- 2026Adaptive Simulation Experiment for LLM Policy Optimization9 Apr 2026
- 2026Microeconomic Foundations of Multi-Agent Learning6 Jan 2026
- 2025FraPPE: Fast and Efficient Preference-based Pure Exploration22 Aug 2025
- 2025Do Large Language Models (Really) Need Statistical Foundations?25 May 2025
- 2025FisherSFT: Data-Efficient Supervised Fine-Tuning of Language Models Using Information Gain20 May 2025
- 2024An Overview and Discussion on Using Large Language Models for Implementation Generation of Solutions to Open-Ended Problems31 Dec 2024
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