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Recent math benchmarks for large language models (LLMs) such as MathArena indicate that state-of-the-art reasoning models achieve impressive performance on mathematical competitions like AIME, with the leading model, Gemini-2.5-Pro,…

Group Relative Policy Optimization (GRPO) was introduced and used recently for promoting reasoning in LLMs under verifiable (binary) rewards. We show that the mean + variance calibration of these rewards induces a weighted contrastive loss…

机器学习 · 计算机科学 2025-10-22 Youssef Mroueh

Reinforcement learning improves LLM reasoning, but PPO/GRPO typically use fixed clipping and decoding temperature, which makes training brittle and tuning-heavy. We propose Adaptive Group Policy Optimization (AGPO), a critic-free refinement…

机器学习 · 计算机科学 2026-05-21 Miaobo Hu , Shuhao Hu , Bokun Wang , Ruohan Wang , Xin Wang , Xiaobo Guo , Daren Zha , Jun Xiao

Supervised fine-tuning (SFT) on chain-of-thought (CoT) trajectories demonstrations is a common approach for enabling reasoning in large language models. Standard practices typically only retain trajectories with correct final answers…

计算与语言 · 计算机科学 2026-01-12 Xueyun Tian , Minghua Ma , Bingbing Xu , Nuoyan Lyu , Wei Li , Heng Dong , Zheng Chu , Yuanzhuo Wang , Huawei Shen

Self-improvement via RL often fails on complex reasoning tasks because GRPO-style post-training methods rely on the model's initial ability to generate positive samples. Without guided exploration, these approaches merely reinforce what the…

机器学习 · 计算机科学 2026-01-28 Ruiyang Zhou , Shuozhe Li , Amy Zhang , Liu Leqi

Reinforcement learning with verifiable rewards (RLVR) has recently enhanced the reasoning capabilities of large language models (LLMs), particularly for mathematical problem solving. However, a fundamental limitation remains: as the…

机器学习 · 计算机科学 2025-11-03 Wenhao Deng , Long Wei , Chenglei Yu , Tailin Wu

Large language models (LLMs) with explicit reasoning capabilities excel at mathematical reasoning yet still commit process errors, such as incorrect calculations, brittle logic, and superficially plausible but invalid steps. In this paper,…

人工智能 · 计算机科学 2026-03-26 Qihao Liu , Luoxin Ye , Wufei Ma , Yu-Cheng Chou , Alan Yuille

Large Language Models (LLMs) have exhibited strong mathematical reasoning prowess, tackling tasks ranging from basic arithmetic to advanced competition-level problems. However, frequently occurring subtle yet critical errors, such as…

计算与语言 · 计算机科学 2025-05-28 Kaishuai Xu , Tiezheng Yu , Wenjun Hou , Yi Cheng , Chak Tou Leong , Liangyou Li , Xin Jiang , Lifeng Shang , Qun Liu , Wenjie Li

Reinforcement Learning from Verifiable Rewards (RLVR) has emerged as a powerful paradigm for reasoning in language models, with GRPO as its primary example. However, GRPO requires continuous online rollout generation, making it…

机器学习 · 计算机科学 2026-05-21 Richa Verma , Balaraman Ravindran

Reinforcement learning (RL) plays a central role in large language model (LLM) post-training. Among existing approaches, Group Relative Policy Optimization (GRPO) is widely used, especially for RL with verifiable rewards (RLVR) fine-tuning.…

Advanced reasoning in LLMs on challenging domains like mathematical reasoning can be tackled using verifiable rewards based reinforced fine-tuning (ReFT). In standard ReFT frameworks, a behavior model generates multiple completions with…

机器学习 · 计算机科学 2025-11-25 Maxime Heuillet , Yufei Cui , Boxing Chen , Audrey Durand , Prasanna Parthasarathi

Many reinforcement learning (RL) tasks have discrete action spaces, but most generative policy methods based on diffusion and flow matching are designed for continuous control. Meanwhile, generative policies usually rely heavily on offline…

机器学习 · 计算机科学 2026-05-13 Fairoz Nower Khan , Nabuat Zaman Nahim , Peizhong Ju

While Reinforcement Learning (RL) shows promise in training tool-use Large Language Models (LLMs) using verifiable outcome rewards, existing methods largely overlook the potential of reasoning rewards based on chain-of-thought quality for…

计算与语言 · 计算机科学 2026-01-16 Zihan Lin , Xiaohan Wang , Hexiong Yang , Jiajun Chai , Jie Cao , Guojun Yin , Wei Lin , Ran He

Mixture-of-Experts (MoE) language models route each token to a small subset of experts, but whether the routes selected by a trained top-$k$ router are good ones is rarely evaluated directly. Holding the model fixed, we compare each…

机器学习 · 计算机科学 2026-05-11 Youngsik Yoon , Siwei Wang , Wei Chen , Jungseul Ok

Reinforcement learning, including reinforcement learning with verifiable rewards (RLVR), has emerged as a powerful approach for LLM post-training. Central to these approaches is the design of the importance sampling (IS) ratio used in…

机器学习 · 计算机科学 2026-05-11 Yuheng Zhang , Chenlu Ye , Shuowei Jin , Changlong Yu , Wei Xiong , Saurabh Sahu , Nan Jiang

Few-step diffusion or flow-based generative models typically distill a velocity-predicting teacher into a student that predicts a shortcut towards denoised data. This format mismatch has led to complex distillation procedures that often…

机器学习 · 计算机科学 2026-02-20 Hansheng Chen , Kai Zhang , Hao Tan , Leonidas Guibas , Gordon Wetzstein , Sai Bi

We introduce Self-correction Relative Policy Optimization (ScRPO), a novel reinforcement learning framework designed to empower large language models with advanced mathematical reasoning capabilities through iterative self-reflection and…

人工智能 · 计算机科学 2026-01-06 Lianrui Li , Dakuan Lu , Jiawei Shao , Xuelong Li

Recent advances of reasoning models, exemplified by OpenAI's o1 and DeepSeek's R1, highlight the significant potential of Reinforcement Learning (RL) to enhance the reasoning capabilities of Large Language Models (LLMs). However,…

Recent advances in reinforcement learning (RL) have substantially improved the training of large-scale language models, leading to significant gains in generation quality and reasoning ability. However, most existing research focuses on…

机器学习 · 计算机科学 2026-01-13 Di Zhang , Xun Wu , Shaohan Huang , Lingjie Jiang , Yaru Hao , Li Dong , Zewen Chi , Zhifang Sui , Furu Wei

Reinforcement learning is structurally harder than supervised learning because the policy changes the data distribution it learns from. The resulting fragility is especially visible in large-model training, where the training and rollout…

机器学习 · 计算机科学 2026-05-13 Rasool Fakoor , Murdock Aubry , Nicholas Stranges , Alexander J. Smola