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On the Algorithmic Bias of Aligning Large Language Models with RLHF: Preference Collapse and Matching Regularization
Jiancong Xiao1, Ziniu Li2, Xingyu Xie3
1University of Pennsylvania.
Journal of the American Statistical Association
|January 26, 2026
Summary
Reinforcement learning from human feedback (RLHF) can bias large language models (LLMs). A new method, preference matching RLHF, provably aligns LLMs with human preferences, improving fairness and reducing bias.
Area of Science:
- Artificial Intelligence
- Machine Learning
- Natural Language Processing
Background:
- Aligning large language models (LLMs) with human preferences is vital for decision-making.
- Current reinforcement learning from human feedback (RLHF) methods may introduce algorithmic bias, potentially ignoring minority preferences (preference collapse).
Purpose of the Study:
- To introduce a novel approach, preference matching (PM) RLHF, that mitigates algorithmic bias in LLM alignment.
- To provably align LLMs with the reward model's preference distribution using the Bradley-Terry-Luce/Plackett-Luce model.
Main Methods:
- Developed a PM regularizer (negative logarithm of the LLM's policy probability distribution) to balance response diversification and reward maximization.
- Derived the PM regularizer by solving an ordinary differential equation.
- Introduced a conditional variant of PM RLHF for natural language generation.
Main Results:
- Conditional PM RLHF demonstrated significant improvements in alignment with human preferences.
- Experiments on OPT and Llama-family models showed a 29% to 41% improvement compared to standard RLHF.
Conclusions:
- Preference matching RLHF offers a provably effective method for mitigating algorithmic bias in LLM alignment.
- The conditional PM RLHF approach enhances fairness and accuracy in aligning LLMs with human preferences, particularly for natural language generation tasks.
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