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Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

As the widespread adoption of Large Language Models (LLMs) accelerates, token consumption from intermediate reasoning traces increasingly contributes to inference latency and operational cost. Recent studies suggest that many real-world…

Artificial Intelligence · Computer Science 2026-05-08 Richmond Sin Jing Xuan , Rishabh Bhardwaj , Soujanya Poria

Recent advancements in large language models (LLMs) have demonstrated that progressive refinement, rather than providing a single answer, results in more accurate and thoughtful outputs. However, existing methods often rely heavily on…

Computation and Language · Computer Science 2024-10-18 Chengyu Du , Jinyi Han , Yizhou Ying , Aili Chen , Qianyu He , Haokun Zhao , Sirui Xia , Haoran Guo , Jiaqing Liang , Zulong Chen , Liangyue Li , Yanghua Xiao

Prompt optimization improves the reasoning abilities of large language models (LLMs) without requiring parameter updates to the target model. Following heuristic-based "Think step by step" approaches, the field has evolved in two main…

Computation and Language · Computer Science 2025-07-25 Andreea Nica , Ivan Zakazov , Nicolas Mario Baldwin , Saibo Geng , Robert West

Curriculum learning plays a crucial role in enhancing the training efficiency of large language models (LLMs) on reasoning tasks. However, existing methods often fail to adequately account for variations in prompt difficulty or rely on…

Machine Learning · Computer Science 2026-03-24 Yongcheng Zeng , Zexu Sun , Bokai Ji , Erxue Min , Hengyi Cai , Shuaiqiang Wang , Dawei Yin , Haifeng Zhang , Xu Chen , Jun Wang

Large reasoning models (LRMs) excel on complex problems but face a critical barrier to efficiency: reinforcement learning (RL) training requires long rollouts for outcome-based rewards, where autoregressive decoding dominates time and…

Machine Learning · Computer Science 2026-02-20 Zeliang Zhang , Xiaodong Liu , Hao Cheng , Hao Sun , Chenliang Xu , Jianfeng Gao

We propose FlowRL: matching the full reward distribution via flow balancing instead of maximizing rewards in large language model (LLM) reinforcement learning (RL). Recent advanced reasoning models adopt reward-maximizing methods (\eg, PPO…

Large Language Models (LLMs) have shown promise in solving complex mathematical problems, yet they still fall short of producing accurate and consistent solutions. Reinforcement Learning (RL) is a framework for aligning these models with…

Artificial Intelligence · Computer Science 2026-02-10 Ali Hatamizadeh , Shrimai Prabhumoye , Igor Gitman , Ximing Lu , Seungju Han , Wei Ping , Yejin Choi , Jan Kautz

Recent studies on post-training large language models (LLMs) for reasoning through reinforcement learning (RL) typically focus on tasks that can be accurately verified and rewarded, such as solving math problems. In contrast, our research…

Computation and Language · Computer Science 2025-05-29 Ang Lv , Ruobing Xie , Xingwu Sun , Zhanhui Kang , Rui Yan

Pragmatic reasoning helps interlocutors infer intended meaning from ambiguous or underspecified messages by considering shared context and counterfactual alternatives. Similar challenges arise in natural language-to-code generation, where…

Computation and Language · Computer Science 2026-05-26 Zhuchen Cao , Sven Apel , Adish Singla , Vera Demberg

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Process supervision enhances the performance of large language models in reasoning tasks by providing feedback at each step of chain-of-thought reasoning. However, due to the lack of effective process supervision methods, even advanced…

Artificial Intelligence · Computer Science 2025-05-15 Jiawei Li , Xinyue Liang , Junlong Zhang , Yizhe Yang , Chong Feng , Yang Gao

Many applications of large language models (LLMs) require deductive reasoning, yet models frequently produce incorrect or redundant inference steps. We frame natural language inference as a search problem where the final answer is the valid…

Artificial Intelligence · Computer Science 2026-05-26 Andreas Opedal , Francesco Ignazio Re , Abulhair Saparov , Mrinmaya Sachan , Bernhard Schölkopf , Ryan Cotterell

Large language models (LLMs) solve complex problems by generating multi-step reasoning traces. Yet these traces are typically analyzed from only one of two perspectives: the sequence of tokens across different reasoning steps in the…

Computation and Language · Computer Science 2026-03-25 Ruidi Chang , Jiawei Zhou , Hanjie Chen

Process reward models (PRMs) are a cornerstone of test-time scaling (TTS), designed to verify and select the best responses from large language models (LLMs). However, this promise is challenged by recent benchmarks where simple majority…

Computation and Language · Computer Science 2026-04-24 Peng Kuang , Yanli Wang , Xiaoyu Han , Yaowenqi Liu , Kaidi Xu , Haohan Wang

Reinforcement Learning from Verifiable Rewards (RLVR) has emerged as a powerful paradigm for enhancing the complex reasoning capabilities of Large Reasoning Models. However, standard outcome-based supervision suffers from a critical…

Artificial Intelligence · Computer Science 2026-03-02 Yanwei Ren , Haotian Zhang , Likang Xiao , Xikai Zhang , Jiaxing Huang , Jiayan Qiu , Baosheng Yu , Quan Chen , Liu Liu

Recent advancements in long chain-of-thought (CoT) reasoning, particularly through the Group Relative Policy Optimization algorithm used by DeepSeek-R1, have led to significant interest in the potential of Reinforcement Learning with…

Artificial Intelligence · Computer Science 2025-10-03 Xumeng Wen , Zihan Liu , Shun Zheng , Shengyu Ye , Zhirong Wu , Yang Wang , Zhijian Xu , Xiao Liang , Junjie Li , Ziming Miao , Jiang Bian , Mao Yang

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a promising approach to improve the reasoning abilities of Large Language Models (LLMs). Among RLVR algorithms, Group Relative Policy Optimization (GRPO) and its variants…

Artificial Intelligence · Computer Science 2026-04-21 Zhaokang Liao , Yingguo Gao , Yi Yang , Yongheng Hu , Jingting Ding

Large language models (LLMs) achieve strong reasoning performance by allocating substantial computation at inference time, often generating long and verbose reasoning traces. While recent work on efficient reasoning reduces this overhead…

Computation and Language · Computer Science 2026-04-28 Han Wang , Xiaodong Yu , Jialian Wu , Jiang Liu , Ximeng Sun , Mohit Bansal , Zicheng Liu

Large language models (LLMs) excel at complex tasks with advances in reasoning capabilities. However, existing reward mechanisms remain tightly coupled to final correctness and pay little attention to the underlying reasoning process:…

Machine Learning · Computer Science 2026-05-14 Jingyao Wang , Peizheng Guo , Wenwen Qiang , Jiahuan Zhou , Huijie Guo , Changwen Zheng , Hui Xiong