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Chain-of-Thought (CoT) reasoning successfully enhances the reasoning capabilities of Large Language Models (LLMs), yet it incurs substantial computational overhead for inference. Existing CoT compression methods often suffer from a critical…

Machine Learning · Computer Science 2026-05-26 Yuntian Tang , Bohan Jia , Wenxuan Huang , Lianyue Zhang , Jiao Xie , Wenxi Li , Wei Li , Jie Hu , Xinghao Chen Rongrong Ji , Shaohui Lin

This paper introduces Light-R1, an open-source suite for training long reasoning models using reproducible and cost-effective methodology. Given the proprietary nature of data used in the DeepSeek-R1 series, we develop an alternative…

Computation and Language · Computer Science 2025-05-29 Liang Wen , Yunke Cai , Fenrui Xiao , Xin He , Qi An , Zhenyu Duan , Yimin Du , Junchen Liu , Lifu Tang , Xiaowei Lv , Haosheng Zou , Yongchao Deng , Shousheng Jia , Xiangzheng Zhang

Large Language Models (LLMs) have exhibited strong reasoning capabilities and achieved remarkable performance in mathematical problem-solving tasks. Recently, distilling reasoning ability from long-form Chains-of-Thought (CoTs) has emerged…

Computation and Language · Computer Science 2025-10-15 Zhuoyang Wu , Xinze Li , Zhenghao Liu , Yukun Yan , Zhiyuan Liu , Minghe Yu , Cheng Yang , Yu Gu , Ge Yu , Maosong Sun

Large language models (LLMs) have achieved remarkable success across various natural language processing (NLP) tasks. However, recent studies suggest that they still face challenges in performing fundamental NLP tasks essential for deep…

Computation and Language · Computer Science 2025-04-22 Ziyan Zhang , Yang Hou , Chen Gong , Zhenghua Li

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

With the advent of DeepSeek-R1, a new wave of reinforcement learning (RL) methods has emerged that seem to unlock stronger mathematical reasoning. However, a closer look at the open-source ecosystem reveals a critical limitation: with…

Machine Learning · Computer Science 2025-10-14 Prasanna Mayilvahanan , Ricardo Dominguez-Olmedo , Thaddäus Wiedemer , Wieland Brendel

While Large Language Models (LLMs) have revolutionized code generation, standard ``System 1'' approaches that generate solutions in a single forward pass often hit a performance ceiling on complex algorithmic tasks. Existing iterative…

Computation and Language · Computer Science 2026-04-21 Juyong Jiang , Jiasi Shen , Sunghun Kim , Kang Min Yoo , Jeonghoon Kim , Sungju Kim

Previous studies proposed that the reasoning capabilities of large language models (LLMs) can be improved through self-reflection, i.e., letting LLMs reflect on their own output to identify and correct mistakes in the initial responses.…

Computation and Language · Computer Science 2025-02-18 Fengyuan Liu , Nouar AlDahoul , Gregory Eady , Yasir Zaki , Talal Rahwan

Large Language Models (LLMs) have shown remarkable capabilities in reasoning, exemplified by the success of OpenAI-o1 and DeepSeek-R1. However, integrating reasoning with external search processes remains challenging, especially for complex…

Large language models (LLMs) increasingly solve difficult problems by producing "reasoning traces" before emitting a final response. However, it remains unclear how accuracy and decision commitment evolve along a reasoning trajectory, and…

Machine Learning · Computer Science 2026-02-02 Marthe Ballon , Brecht Verbeken , Vincent Ginis , Andres Algaba

Large Language Models (LLMs) often struggle with computational efficiency and error propagation in multi-step reasoning tasks. While recent advancements on prompting and post-training have enabled LLMs to perform step-wise reasoning, they…

Artificial Intelligence · Computer Science 2026-05-08 Yuan Sui , Yufei He , Tri Cao , Simeng Han , Yulin Chen , Bryan Hooi

Recent advancements in large language models (LLMs) have shown promise in multi-step reasoning tasks, yet their reliance on extensive manual labeling to provide procedural feedback remains a significant impediment. To address this…

Computation and Language · Computer Science 2024-02-20 Zhaorun Chen , Zhuokai Zhao , Zhihong Zhu , Ruiqi Zhang , Xiang Li , Bhiksha Raj , Huaxiu Yao

The integration of slow-thinking mechanisms into large language models (LLMs) offers a promising way toward achieving Level 2 AGI Reasoners, as exemplified by systems like OpenAI's o1. However, several significant challenges remain,…

Computation and Language · Computer Science 2025-02-10 Xiao-Wen Yang , Xuan-Yi Zhu , Wen-Da Wei , Ding-Chu Zhang , Jie-Jing Shao , Zhi Zhou , Lan-Zhe Guo , Yu-Feng Li

Recent work has shown that distilling reasoning traces from a larger teacher model via supervised finetuning outperforms reinforcement learning with the smaller student model alone (Guo et al. 2025). However, there has not been a systematic…

Computation and Language · Computer Science 2025-07-03 Yang Li , Youssef Emad , Karthik Padthe , Jack Lanchantin , Weizhe Yuan , Thao Nguyen , Jason Weston , Shang-Wen Li , Dong Wang , Ilia Kulikov , Xian Li

Recent reasoning large language models (LLMs) have demonstrated remarkable improvements in mathematical reasoning capabilities through long Chain-of-Thought. The reasoning tokens of these models enable self-correction within reasoning…

Artificial Intelligence · Computer Science 2025-04-02 Yu Cui , Bryan Hooi , Yujun Cai , Yiwei Wang

Although most of the automated theorem-proving approaches depend on formal proof systems, informal theorem proving can align better with large language models' (LLMs) strength in natural language processing. In this work, we identify a…

Artificial Intelligence · Computer Science 2026-04-20 Yunhe Li , Hao Shi , Bowen Deng , Wei Wang , Mengzhe Ruan , Hanxu Hou , Zhongxiang Dai , Siyang Gao , Chao Wang , Shuang Qiu , Linqi Song

Recent Large Language Models (LLMs) have significantly advanced natural language processing and automated decision-making. However, these models still encounter difficulties when performing complex reasoning tasks involving logical…

Computation and Language · Computer Science 2025-06-26 Yubo Dong , Hehe Fan

We introduce SELF-DISCOVER, a general framework for LLMs to self-discover the task-intrinsic reasoning structures to tackle complex reasoning problems that are challenging for typical prompting methods. Core to the framework is a…

Artificial Intelligence · Computer Science 2024-02-07 Pei Zhou , Jay Pujara , Xiang Ren , Xinyun Chen , Heng-Tze Cheng , Quoc V. Le , Ed H. Chi , Denny Zhou , Swaroop Mishra , Huaixiu Steven Zheng

The emergence of Large Language Models (LLMs) has fundamentally transformed natural language processing, making them indispensable across domains ranging from conversational systems to scientific exploration. However, their pre-trained…

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