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In a plethora of recent work, large language models (LLMs) demonstrated impressive reasoning ability, but many proposed downstream reasoning tasks only focus on final answers. Two fundamental questions persist: 1) how consistent is the…

Computation and Language · Computer Science 2024-10-22 Ziyi Liu , Soumya Sanyal , Isabelle Lee , Yongkang Du , Rahul Gupta , Yang Liu , Jieyu Zhao

Effective training of language models (LMs) for mathematical reasoning tasks demands high-quality supervised fine-tuning data. Besides obtaining annotations from human experts, a common alternative is sampling from larger and more powerful…

Computation and Language · Computer Science 2024-07-26 Tianduo Wang , Shichen Li , Wei Lu

Large Language Models (LLMs), despite their remarkable capabilities, rely on singular, pre-dominant reasoning paradigms, hindering their performance on intricate problems that demand diverse cognitive strategies. To address this, we…

Computation and Language · Computer Science 2025-09-29 Zishan Ahmad , Saisubramaniam Gopalakrishnan

Recent advancements in large language models (LLMs) have been driven by their emergent reasoning capabilities, particularly through long chain-of-thought (CoT) prompting, which enables thorough exploration and deliberation. Despite these…

Computation and Language · Computer Science 2026-04-09 Junnan Liu , Hongwei Liu , Songyang Zhang , Kai Chen

Reasoning-enhanced large language models (RLLMs), whether explicitly trained for reasoning or prompted via chain-of-thought (CoT), have achieved state-of-the-art performance on many complex reasoning tasks. However, we uncover a surprising…

Computation and Language · Computer Science 2025-09-03 Xiaomin Li , Zhou Yu , Zhiwei Zhang , Xupeng Chen , Ziji Zhang , Yingying Zhuang , Narayanan Sadagopan , Anurag Beniwal

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…

Artificial Intelligence · Computer Science 2026-01-06 Lianrui Li , Dakuan Lu , Jiawei Shao , Xuelong Li

The self-improving ability of large language models (LLMs), enabled by prompting them to analyze and revise their own outputs, has garnered significant interest in recent research. However, this ability has been shown to be absent and…

Computation and Language · Computer Science 2024-04-02 Xiao Yu , Baolin Peng , Michel Galley , Jianfeng Gao , Zhou Yu

Large reasoning models (LRMs), such as OpenAI o1 and DeepSeek-R1, have significantly enhanced their reasoning capabilities by generating longer chains of thought, demonstrating outstanding performance across a variety of tasks. However,…

Computation and Language · Computer Science 2025-10-31 Haoran Zhao , Yuchen Yan , Yongliang Shen , Haolei Xu , Wenqi Zhang , Kaitao Song , Jian Shao , Weiming Lu , Jun Xiao , Yueting Zhuang

We introduce CRPE (Code Reasoning Process Enhancer), an innovative three-stage framework for data synthesis and model training that advances the development of sophisticated code reasoning capabilities in large language models (LLMs).…

Software Engineering · Computer Science 2025-05-19 Ningxin Gui , Qianghuai Jia , Feijun Jiang , Yuling Jiao , dechun wang , Jerry Zhijian Yang

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

Recent breakthroughs in large language models (LLMs) have effectively improved their reasoning abilities, particularly on mathematical and logical problems that have verifiable answers, through techniques such as supervised finetuning (SFT)…

Artificial Intelligence · Computer Science 2025-06-02 Hongyi James Cai , Junlin Wang , Xiaoyin Chen , Bhuwan Dhingra

Large language models (LLMs) have exhibited impressive reasoning abilities on a wide range of complex tasks. However, enhancing these capabilities through post-training remains resource intensive, particularly in terms of data and…

Artificial Intelligence · Computer Science 2025-08-13 Shuo Cai , Su Lu , Qi Zhou , Kejing Yang , Zhijie Sang , Congkai Xie , Hongxia Yang

The rise of large language models (LLMs) has created a significant disparity: industrial research labs with their computational resources, expert teams, and advanced infrastructures, can effectively fine-tune LLMs, while individual…

Large language models (LLMs) have demonstrated remarkable performance across a wide range of tasks. Advances in prompt engineering and fine-tuning techniques have further enhanced their ability to address complex reasoning challenges.…

Computation and Language · Computer Science 2024-12-16 Jing Bi , Yuting Wu , Weiwei Xing , Zhenjie Wei

Structured reasoning can improve the inference performance of large language models (LLMs), but it also introduces computational cost and control constraints. When additional reasoning structure helps, and when it instead reduces efficiency…

Machine Learning · Computer Science 2026-04-14 Junyu Guo , Shangding Gu , Ming Jin , Costas Spanos , Javad Lavaei

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

Existing efforts to improve logical reasoning ability of language models have predominantly relied on supervised fine-tuning, hindering generalization to new domains and/or tasks. The development of Large Langauge Models (LLMs) has…

Computation and Language · Computer Science 2024-06-18 Fangkai Jiao , Zhiyang Teng , Bosheng Ding , Zhengyuan Liu , Nancy F. Chen , Shafiq Joty

Large Language Models (LLMs) have demonstrated remarkable performance in many applications, including challenging reasoning problems via chain-of-thoughts (CoTs) techniques that generate ``thinking tokens'' before answering the questions.…

Machine Learning · Computer Science 2025-11-04 Hanlin Zhu , Shibo Hao , Zhiting Hu , Jiantao Jiao , Stuart Russell , Yuandong Tian

Algorithmic reasoning refers to the ability to understand the complex patterns behind the problem and decompose them into a sequence of reasoning steps towards the solution. Such nature of algorithmic reasoning makes it a challenge for…

Current reasoning paradigms for LLMs include chain-of-thought, ReAct, and post-hoc self-critique. These paradigms rely on two assumptions that fail on long-horizon, multi-stage tasks. As a result, errors accumulate silently across reasoning…

Artificial Intelligence · Computer Science 2026-05-08 Fan Huang