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Reward learning plays a pivotal role in Reinforcement Learning from Human Feedback (RLHF), ensuring the alignment of language models. The Bradley-Terry (BT) model stands as the prevalent choice for capturing human preferences from datasets…

Machine Learning · Computer Science 2024-10-10 Jinsong Liu , Dongdong Ge , Ruihao Zhu

This contribution introduces a novel statistical learning methodology based on the Bradley-Terry method for pairwise comparisons, where the novelty arises from the method's capacity to estimate the worth of objects for a primary attribute…

Methodology · Statistics 2025-11-26 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

The Bradley-Terry (BT) model is a common and successful practice in reward modeling for Large Language Model (LLM) alignment. However, it remains unclear why this model -- originally developed for multi-player stochastic game matching --…

Artificial Intelligence · Computer Science 2025-01-28 Hao Sun , Yunyi Shen , Jean-Francois Ton

Several methods of preference modeling, ranking, voting and multi-criteria decision making include pairwise comparisons. It is usually simpler to compare two objects at a time, furthermore, some relations (e.g., the outcome of sports…

Optimization and Control · Mathematics 2025-09-04 László Gyarmati , Éva Orbán-Mihálykó , Csaba Mihálykó , Sándor Bozóki , Zsombor Szádoczki

Preference learning is a widely adopted post-training technique that aligns large language models (LLMs) to human preferences and improves specific downstream task capabilities. In this work we systematically investigate how specific…

Computation and Language · Computer Science 2024-12-23 Joongwon Kim , Anirudh Goyal , Aston Zhang , Bo Xiong , Rui Hou , Melanie Kambadur , Dhruv Mahajan , Hannaneh Hajishirzi , Liang Tan

Conjoint experiments randomize multidimensional profiles, offering a powerful design for recovering structural preference parameters -- including marginal rates of substitution, willingness to pay, and the distribution of preferences across…

Methodology · Statistics 2026-05-26 Avidit Acharya , Jens Hainmueller , Yiqing Xu

Aligning Large Language Models (LLMs) with human preferences is crucial in ensuring desirable and controllable model behaviors. Current methods, such as Reinforcement Learning from Human Feedback (RLHF) and Direct Preference Optimization…

Computation and Language · Computer Science 2025-10-24 Yang Zhao , Yixin Wang , Mingzhang Yin

Thurstonian and Bradley-Terry models are the most commonly applied models in the analysis of paired comparison data. Since their introduction, numerous developments have been proposed in different areas. This paper provides an updated…

Methodology · Statistics 2012-10-04 Manuela Cattelan

Reinforcement Learning from Human Feedback (RLHF) has emerged as a key technique for post-training large language models. Despite its empirical success, the theoretical understanding of RLHF is still limited, as learning the KL-regularized…

Machine Learning · Computer Science 2025-10-29 Di Wu , Chengshuai Shi , Jing Yang , Cong Shen

This paper addresses the challenges of aligning large language models (LLMs) with human values via preference learning (PL), focusing on incomplete and corrupted data in preference datasets. We propose a novel method for robustly and…

Artificial Intelligence · Computer Science 2025-10-30 Son The Nguyen , Niranjan Uma Naresh , Theja Tulabandhula

Evaluating the pedagogical quality of AI tutors remains challenging: standard NLG metrics do not determine whether responses identify mistakes, scaffold reasoning, or avoid revealing the answers. For the task of mistake remediation, we…

Computation and Language · Computer Science 2026-03-26 Kseniia Petukhova , Ekaterina Kochmar

Modeling human preferences is crucial for aligning foundation models with human values. Traditional reward modeling methods, such as the Bradley-Terry (BT) reward model, fall short in expressiveness, particularly in addressing intransitive…

Artificial Intelligence · Computer Science 2025-06-12 Yifan Zhang , Ge Zhang , Yue Wu , Kangping Xu , Quanquan Gu

Human preference judgments are pivotal in guiding large language models (LLMs) to produce outputs that align with human values. Human evaluations are also used in summarization tasks to compare outputs from various systems, complementing…

Computation and Language · Computer Science 2023-10-31 Yebowen Hu , Kaiqiang Song , Sangwoo Cho , Xiaoyang Wang , Hassan Foroosh , Fei Liu

Aligning language models with human preferences through reinforcement learning from human feedback is crucial for their safe and effective deployment. The human preference is typically represented through comparison where one response is…

Machine Learning · Computer Science 2025-07-15 Hoang Anh Just , Ming Jin , Anit Sahu , Huy Phan , Ruoxi Jia

Given a set of pairwise comparisons, the classical ranking problem computes a single ranking that best represents the preferences of all users. In this paper, we study the problem of inferring individual preferences, arising in the context…

Machine Learning · Statistics 2015-12-18 Rui Wu , Jiaming Xu , R. Srikant , Laurent Massoulié , Marc Lelarge , Bruce Hajek

This paper introduces the Bradley-Terry Regression Trunk model, a novel probabilistic approach for the analysis of preference data expressed through paired comparison rankings. In some cases, it may be reasonable to assume that the…

If you tell a learning model that you prefer an alternative $a$ over another alternative $b$, then you probably expect the model to be monotone, that is, the valuation of $a$ increases, and that of $b$ decreases. Yet, perhaps surprisingly,…

Statistics Theory · Mathematics 2025-10-23 Julien Fageot , Peva Blanchard , Gilles Bareilles , Lê-Nguyên Hoang

Learning from preference feedback has emerged as an essential step for improving the generation quality and performance of modern language models (LMs). Despite its widespread use, the way preference-based learning is applied varies wildly,…

Computation and Language · Computer Science 2024-10-10 Hamish Ivison , Yizhong Wang , Jiacheng Liu , Zeqiu Wu , Valentina Pyatkin , Nathan Lambert , Noah A. Smith , Yejin Choi , Hannaneh Hajishirzi

Preference-based data often appear complex and noisy but may conceal underlying homogeneous structures. This paper introduces a novel framework of ranking structure recognition for preference-based data. We first develop an approach to…

Machine Learning · Statistics 2025-11-11 Nan Lu , Jian Shi , Xin-Yu Tian

Reward modelling from preference data is a crucial step in aligning large language models (LLMs) with human values, requiring robust generalisation to novel prompt-response pairs. In this work, we propose to frame this problem in a causal…

Artificial Intelligence · Computer Science 2026-05-12 Katarzyna Kobalczyk , Mihaela van der Schaar
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