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Existing approaches to mathematical reasoning with large language models (LLMs) rely on Chain-of-Thought (CoT) for generalizability or Tool-Integrated Reasoning (TIR) for precise computation. While efforts have been made to combine these…

Computation and Language · Computer Science 2026-02-13 Xin Xu , Yan Xu , Tianhao Chen , Yuchen Yan , Chengwu Liu , Zaoyu Chen , Yufei Wang , Yichun Yin , Yasheng Wang , Lifeng Shang , Qun Liu , Lu Yin

Recent works have shown that chain-of-thought (CoT) prompting can elicit language models to solve complex reasoning tasks, step-by-step. However, prompt-based CoT methods are dependent on very large models such as GPT-3 175B which are…

Computation and Language · Computer Science 2023-06-14 Namgyu Ho , Laura Schmid , Se-Young Yun

Large Language Models (LLMs) have demonstrated promising capabilities in solving mathematical reasoning tasks, leveraging Chain-of-Thought (CoT) data as a vital component in guiding answer generation. Current paradigms typically generate…

Computation and Language · Computer Science 2025-03-20 Honglin Lin , Zhuoshi Pan , Yu Li , Qizhi Pei , Xin Gao , Mengzhang Cai , Conghui He , Lijun Wu

Understanding 3D point clouds through language remains a fundamental challenge in computer graphics and visual computing, due to the irregular structure of point cloud data and the lack of explicit reasoning in existing 3D multimodal…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Chaoqi Chen , Qile Xu , Wenjun Zhou , Hui Huang

Chain-of-Thought (CoT) reasoning enables Large Language Models (LLMs) to solve complex reasoning tasks by generating intermediate reasoning steps. However, most existing approaches focus on hard token decoding, which constrains reasoning…

Computation and Language · Computer Science 2025-05-28 Yige Xu , Xu Guo , Zhiwei Zeng , Chunyan Miao

Chain of thought finetuning (cot-finetuning) aims to endow small language models (SLM) with reasoning ability to improve their performance towards specific tasks by allowing them to imitate the reasoning procedure of large language models…

Computation and Language · Computer Science 2025-08-08 Xiaoshu Chen , Sihang Zhou , Ke Liang , Xinwang Liu

Recent advances in Large Language Models (LLMs) have introduced Reasoning Large Language Models (RLLMs), which employ extended thinking processes with reflection and self-correction capabilities, demonstrating the effectiveness of test-time…

Artificial Intelligence · Computer Science 2025-03-26 Yuyao Ge , Shenghua Liu , Yiwei Wang , Lingrui Mei , Lizhe Chen , Baolong Bi , Xueqi Cheng

While Chain-of-Thought (CoT) prompting boosts Language Models' (LM) performance on a gamut of complex reasoning tasks, the generated reasoning chain does not necessarily reflect how the model arrives at the answer (aka. faithfulness). We…

Computation and Language · Computer Science 2023-09-22 Qing Lyu , Shreya Havaldar , Adam Stein , Li Zhang , Delip Rao , Eric Wong , Marianna Apidianaki , Chris Callison-Burch

Large language models (LLMs) demonstrate their promise in tackling complicated practical challenges by combining action-based policies with chain of thought (CoT) reasoning. Having high-quality prompts on hand, however, is vital to the…

Machine Learning · Computer Science 2024-03-01 Xue Yan , Yan Song , Xinyu Cui , Filippos Christianos , Haifeng Zhang , David Henry Mguni , Jun Wang

Instructing large language models (LLMs) to solve elementary school math problems has shown great success using Chain of Thought (CoT). However, the CoT approach relies on an LLM to generate a sequence of arithmetic calculations which can…

Computation and Language · Computer Science 2024-05-29 Xiaocheng Yang , Bingsen Chen , Yik-Cheung Tam

In enhancing the reasoning capabilities of large language models (LLMs), prior research primarily focuses on specific prompting techniques such as few-shot or zero-shot chain-of-thought (CoT) prompting. These methods, while effective, often…

Computation and Language · Computer Science 2024-05-27 Xuezhi Wang , Denny Zhou

Chain-of-Thought reasoning can enhance large language models, but it requires manually designed prompts to guide the model. Recently proposed CoT-decoding enables the model to generate CoT-style reasoning paths without prompts, but it is…

Computation and Language · Computer Science 2026-04-09 Guanran Luo , Wentao Qiu , Zhongquan Jian , Meihong Wang , Qingqiang Wu

Chain-of-Thought (CoT) reasoning has been demonstrated as an effective technique for improving the problem-solving capabilities of large language models (LLMs) in the context of code generation. However, existing CoT methods often exhibit a…

Software Engineering · Computer Science 2025-03-20 Yuqi Zhu , Ge Li , Xue Jiang , Jia Li , Hong Mei , Zhi Jin , Yihong Dong

Looped language models (LoopLMs) perform iterative latent computation to refine internal representations, offering a promising alternative to explicit chain-of-thought (CoT) reasoning. However, existing reinforcement learning (RL) paradigms…

Computation and Language · Computer Science 2026-03-23 Guo Tang , Shixin Jiang , Heng Chang , Nuo Chen , Yuhan Li , Huiming Fan , Jia Li , Ming Liu , Bing Qin

Despite the strong performance of large language models (LLMs) in tasks like mathematical reasoning, their practical use is limited by high computational demands and proprietary restrictions. Chain-of-thought (CoT) and program-of-thought…

Computation and Language · Computer Science 2024-11-11 Mohammad Ghiasvand Mohammadkhani

Tool-Integrated Reasoning has emerged as a key paradigm to augment Large Language Models (LLMs) with computational capabilities, yet integrating tool-use into long Chain-of-Thought (long CoT) remains underexplored, largely due to the…

Computation and Language · Computer Science 2026-01-19 Kun Li , Zenan Xu , Junan Li , Zengrui Jin , Jinghao Deng , Zexuan Qiu , Bo Zhou

Chain-of-thought (CoT) prompting, which offers step-by-step problem-solving rationales, has impressively unlocked the reasoning potential of large language models (LLMs). Yet, the standard CoT is less effective in problems demanding…

Computation and Language · Computer Science 2024-05-09 Song Jiang , Zahra Shakeri , Aaron Chan , Maziar Sanjabi , Hamed Firooz , Yinglong Xia , Bugra Akyildiz , Yizhou Sun , Jinchao Li , Qifan Wang , Asli Celikyilmaz

Supervised Fine-Tuning (SFT) on long Chain-of-Thought (CoT) trajectories has become a pivotal phase in building large reasoning models. However, how CoT trajectories from different sources influence the generalization performance of models…

Computation and Language · Computer Science 2026-04-07 Zhaoyi Li , Xiangyu Xi , Zhengyu Chen , Wei Wang , Gangwei Jiang , Ranran Shen , Linqi Song , Ying Wei , Defu Lian

Large language models (LLMs) struggle with complex, long-horizon reasoning due to instability caused by their frozen policy assumption. Current test-time scaling methods treat execution feedback merely as an external signal for filtering or…

Artificial Intelligence · Computer Science 2026-01-29 Zhengbo Jiao , Hongyu Xian , Qinglong Wang , Yunpu Ma , Zhebo Wang , Zifan Zhang , Dezhang Kong , Meng Han

Large Language Models (LLMs) solve many reasoning tasks via chain-of-thought (CoT) prompting, but smaller models (about 7 to 8B parameters) still struggle with multi-step reasoning under tight compute and token budgets. Existing test time…

Computation and Language · Computer Science 2026-04-29 Sagnik Chatterjee , Atharva Patil , Sricharan Ramesh
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