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We focus on the problem of \emph{Answer-Level Fine-Tuning} (ALFT), where the goal is to optimize a language model based on the correctness or properties of its final answers, rather than the specific reasoning traces used to produce them.…

Machine Learning · Computer Science 2026-05-01 Mehryar Mohri , Jon Schneider , Yifan Wu

Multi-objective alignment from human feedback (MOAHF) in large language models (LLMs) is a challenging problem as human preferences are complex, multifaceted, and often conflicting. Recent works on MOAHF considered a-priori multi-objective…

Machine Learning · Computer Science 2024-12-10 Subhojyoti Mukherjee , Anusha Lalitha , Sailik Sengupta , Aniket Deshmukh , Branislav Kveton

ChatGLM is a free-to-use AI service powered by the ChatGLM family of large language models (LLMs). In this paper, we present the ChatGLM-RLHF pipeline -- a reinforcement learning from human feedback (RLHF) system -- designed to enhance…

Computation and Language · Computer Science 2024-04-04 Zhenyu Hou , Yilin Niu , Zhengxiao Du , Xiaohan Zhang , Xiao Liu , Aohan Zeng , Qinkai Zheng , Minlie Huang , Hongning Wang , Jie Tang , Yuxiao Dong

This paper studies the last-iterate convergence properties of the exponential weights algorithm with constant learning rates. We consider a repeated interaction in discrete time, where each player uses an exponential weights algorithm…

Artificial Intelligence · Computer Science 2024-07-10 Maurizio d'Andrea , Fabien Gensbittel , Jérôme Renault

We consider the problem of minimizing a smooth convex function by reducing the optimization to computing the Nash equilibrium of a particular zero-sum convex-concave game. Zero-sum games can be solved using online learning dynamics, where a…

Machine Learning · Computer Science 2018-11-16 Jun-Kun Wang , Jacob Abernethy

Reinforcement Learning from Human Feedback (RLHF) has shown remarkable success in aligning Large Language Models (LLMs) with human preferences. Traditional RLHF methods rely on a fixed dataset, which often suffers from limited coverage. To…

Machine Learning · Computer Science 2025-10-28 Long-Fei Li , Yu-Yang Qian , Peng Zhao , Zhi-Hua Zhou

Wide machine learning tasks can be formulated as non-convex multi-player games, where Nash equilibrium (NE) is an acceptable solution to all players, since no one can benefit from changing its strategy unilaterally. Attributed to the…

Computer Science and Game Theory · Computer Science 2023-01-20 Guanpu Chen , Gehui Xu , Fengxiang He , Yiguang Hong , Leszek Rutkowski , Dacheng Tao

We study episodic two-player zero-sum Markov games (MGs) in the offline setting, where the goal is to find an approximate Nash equilibrium (NE) policy pair based on a dataset collected a priori. When the dataset does not have uniform…

Machine Learning · Computer Science 2023-01-02 Han Zhong , Wei Xiong , Jiyuan Tan , Liwei Wang , Tong Zhang , Zhaoran Wang , Zhuoran Yang

Since the debut of DPO, it has been shown that aligning a target LLM with human preferences via the KL-constrained RLHF loss is mathematically equivalent to a special kind of reward modeling task. Concretely, the task requires: 1) using the…

Machine Learning · Computer Science 2024-12-19 Yuzhong Hong , Hanshan Zhang , Junwei Bao , Hongfei Jiang , Yang Song

Regret matching (RM) -- and its modern variants -- is a foundational online algorithm that has been at the heart of many AI breakthrough results in solving benchmark zero-sum games, such as poker. Yet, surprisingly little is known so far in…

Computer Science and Game Theory · Computer Science 2025-11-18 Ioannis Anagnostides , Emanuel Tewolde , Brian Hu Zhang , Ioannis Panageas , Vincent Conitzer , Tuomas Sandholm

The importance of Reinforcement Learning from Human Feedback (RLHF) in aligning large language models (LLMs) with human values cannot be overstated. RLHF is a three-stage process that includes supervised fine-tuning (SFT), reward learning,…

Machine Learning · Computer Science 2025-05-27 Mudit Gaur , Amrit Singh Bedi , Raghu Pasupathy , Vaneet Aggarwal

In this paper, we examine the Nash equilibrium convergence properties of no-regret learning in general N-player games. For concreteness, we focus on the archetypal follow the regularized leader (FTRL) family of algorithms, and we consider…

Computer Science and Game Theory · Computer Science 2021-02-05 Angeliki Giannou , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Panayotis Mertikopoulos

Reward models learned from human preferences are central to aligning large language models (LLMs) via reinforcement learning from human feedback, yet they are often vulnerable to reward hacking due to noisy annotations and systematic biases…

Machine Learning · Computer Science 2026-02-12 Zhibin Duan , Guowei Rong , Zhuo Li , Bo Chen , Mingyuan Zhou , Dandan Guo

We consider payoff-based learning of a generalized Nash equilibrium (GNE) in multi-agent systems. Our focus is on games with jointly convex constraints of a linear structure and strongly monotone pseudo-gradients. We present a convergent…

Optimization and Control · Mathematics 2025-07-18 Tatiana Tatarenko , Maryam Kamgarpour

We consider dynamic games defined over an infinite horizon, characterized by linear, discrete-time dynamics and quadratic cost functionals. Considering such linear-quadratic (LQ) dynamic games, we focus on their solutions in terms Nash…

Optimization and Control · Mathematics 2024-12-02 A. Monti , B. Nortmann , T. Mylvaganam , M. Sassano

In this paper, we present a novel consensus-based zeroth-order algorithm tailored for non-convex multiplayer games. The proposed method leverages a metaheuristic approach using concepts from swarm intelligence to reliably identify global…

Dynamical Systems · Mathematics 2024-07-30 Enis Chenchene , Hui Huang , Jinniao Qiu

This paper investigates when one can efficiently recover an approximate Nash Equilibrium (NE) in offline congestion games. The existing dataset coverage assumption in offline general-sum games inevitably incurs a dependency on the number of…

Computer Science and Game Theory · Computer Science 2024-10-07 Haozhe Jiang , Qiwen Cui , Zhihan Xiong , Maryam Fazel , Simon S. Du

Reinforcement Learning from Human Feedback (RLHF) has emerged as a popular paradigm for aligning models with human intent. Typically RLHF algorithms operate in two phases: first, use human preferences to learn a reward function and second,…

Machine Learning · Computer Science 2024-05-01 Joey Hejna , Rafael Rafailov , Harshit Sikchi , Chelsea Finn , Scott Niekum , W. Bradley Knox , Dorsa Sadigh

Recent developments in domains such as non-local games, quantum interactive proofs, and quantum generative adversarial networks have renewed interest in quantum game theory and, specifically, quantum zero-sum games. Central to classical…

Games with incomplete preferences are an important model for studying rational decision-making in scenarios where players face incomplete information about their preferences and must contend with incomparable outcomes. We study the problem…

Computer Science and Game Theory · Computer Science 2024-08-13 Abhishek N. Kulkarni , Jie Fu , Ufuk Topcu