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Chain-of-Thought (CoT) and Looped Transformers have been shown to empirically improve performance on reasoning tasks and to theoretically enhance expressivity by recursively increasing the number of computational steps. However, their…

Machine Learning · Computer Science 2025-10-27 Kevin Xu , Issei Sato

Test-Time Scaling (TTS) enhances the reasoning capabilities of large language models by allocating additional inference compute to explore the solution space. However, existing parallel TTS methods typically keep branches isolated during…

Computation and Language · Computer Science 2026-05-27 Xinglin Wang , Hao Lin , Shaoxiong Feng , Peiwen Yuan , Yiwei Li , Jiayi Shi , Yueqi Zhang , Chuyi Tan , Ji Zhang , Boyuan Pan , Yao Hu , Kan Li

Chain-of-Thought (CoT) prompting has emerged as a powerful technique for enhancing language model's reasoning capabilities. However, generating long and correct CoT trajectories is challenging. Recent studies have demonstrated that Looped…

Computation and Language · Computer Science 2025-02-13 Qifan Yu , Zhenyu He , Sijie Li , Xun Zhou , Jun Zhang , Jingjing Xu , Di He

Transformer-based models can perform complicated reasoning by generating reasoning paths token by token. While effective, this approach often requires generating thousands of tokens to solve a single problem, which can be slow and…

Machine Learning · Computer Science 2026-05-05 Jiayu Liu , Zhenya Huang , Xuan Yang , Tianyun Ji , Anya Sims , Hao Xu , Enhong Chen , Yee Whye Teh , Ning Miao

Large language models (LLMs) can achieve highly effective performance on various reasoning tasks by incorporating step-by-step chain-of-thought (CoT) prompting as demonstrations. However, the reasoning chains of demonstrations generated by…

Computation and Language · Computer Science 2024-03-18 Jiashuo Sun , Yi Luo , Yeyun Gong , Chen Lin , Yelong Shen , Jian Guo , Nan Duan

Chain-of-Thought (CoT) prompting has significantly enhanced the mathematical reasoning capabilities of Large Language Models. We find existing fine-tuning datasets frequently suffer from the "answer right but reasoning wrong" probelm, where…

Artificial Intelligence · Computer Science 2026-01-13 Zihang Li , Yuhang Wang , Yikun Zong , Wenhan Yu , Xiaokun Yuan , Runhan Jiang , Zirui Liu , Tong Yang , Arthur Jiang

Chain-of-Thought (CoT) prompting has emerged as a simple and effective way to elicit step-by-step solutions from large language models (LLMs). However, CoT reasoning can be unstable across runs on long, multi-step problems, leading to…

Artificial Intelligence · Computer Science 2026-04-28 Shuxu Chen , Yitian Zhou , Jiaquan Zhang , Haoyu Bian , Aming Wu , Sungyoung Lee , Chaoning Zhang , Hyundong Shin

Instructing the model to generate a sequence of intermediate steps, a.k.a., a chain of thought (CoT), is a highly effective method to improve the accuracy of large language models (LLMs) on arithmetics and symbolic reasoning tasks. However,…

Machine Learning · Computer Science 2024-09-24 Zhiyuan Li , Hong Liu , Denny Zhou , Tengyu Ma

Chain-of-thought (CoT) reasoning is critical for improving the interpretability and reliability of Large Vision-Language Models (LVLMs). However, existing training algorithms such as SFT, PPO, and GRPO may not generalize well across unseen…

Artificial Intelligence · Computer Science 2025-10-31 Guohao Sun , Hang Hua , Jian Wang , Jiebo Luo , Sohail Dianat , Majid Rabbani , Raghuveer Rao , Zhiqiang Tao

Large Language Models (LLMs) have shown impressive performance on complex tasks through Chain-of-Thought (CoT) reasoning. However, conventional CoT relies on explicitly verbalized intermediate steps, which constrains its broader…

Computation and Language · Computer Science 2025-11-04 Xinghao Chen , Anhao Zhao , Heming Xia , Xuan Lu , Hanlin Wang , Yanjun Chen , Wei Zhang , Jian Wang , Wenjie Li , Xiaoyu Shen

Compressing long chain-of-thought (CoT) from large language models (LLMs) is an emerging strategy to improve the reasoning efficiency of LLMs. Despite its promising benefits, existing studies equally compress all thoughts within a long CoT,…

Computation and Language · Computer Science 2025-05-27 Yansong Ning , Wei Li , Jun Fang , Naiqiang Tan , Hao Liu

Chain-of-Thought (CoT) reasoning improves multi-step mathematical problem solving in large language models but remains vulnerable to exposure bias and error accumulation, as early mistakes propagate irreversibly through autoregressive…

Computation and Language · Computer Science 2026-04-21 Shidong Cao , Hongzhan Lin , Yuxuan Gu , Ziyang Luo , Jing Ma

We investigate whether performing reasoning in a continuous latent space leads to more robust multilingual capabilities. We compare Continuous Chain-of-Thought (using the CODI framework) against standard supervised fine-tuning across five…

Computation and Language · Computer Science 2026-03-10 Ali Hamza Bashir , Behzad Shomali , Markus Frey , Mehdi Ali , Rafet Sifa , David Berghaus

Chain-of-Thought (CoT) prompting can effectively elicit complex multi-step reasoning from Large Language Models~(LLMs). For example, by simply adding CoT instruction ``Let's think step-by-step'' to each input query of MultiArith dataset,…

Artificial Intelligence · Computer Science 2023-04-19 Jiuhai Chen , Lichang Chen , Heng Huang , Tianyi Zhou

With the rapid advancement of large reasoning models, long Chain-of-Thought (CoT) prompting has demonstrated strong performance on complex tasks. However, this often comes with a significant increase in token usage. In this paper, we…

Computation and Language · Computer Science 2025-06-05 Ruiqi Zhang , Changyi Xiao , Yixin Cao

Many reasoning techniques for large multimodal models adapt language model approaches, such as Chain-of-Thought (CoT) prompting, which express reasoning as word sequences. While effective for text, these methods are suboptimal for…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Tan-Hanh Pham , Chris Ngo

The Chain-of-Thought (CoT) paradigm has emerged as a critical approach for enhancing the reasoning capabilities of large language models (LLMs). However, despite their widespread adoption and success, CoT methods often exhibit instability…

Artificial Intelligence · Computer Science 2024-09-06 Yu Wang , Shiwan Zhao , Zhihu Wang , Heyuan Huang , Ming Fan , Yubo Zhang , Zhixing Wang , Haijun Wang , Ting Liu

Chain-of-Thought (CoT) reasoning enhances the decision-making capabilities of vision-language-action models in autonomous driving, but its autoregressive nature introduces significant inference latency, making it impractical for real-time…

Robotics · Computer Science 2026-02-04 Yi Gu , Yan Wang , Yuxiao Chen , Yurong You , Wenjie Luo , Yue Wang , Wenhao Ding , Boyi Li , Heng Yang , Boris Ivanovic , Marco Pavone

Chain-of-thought (CoT) reasoning has enabled large language models (LLMs) to utilize additional computation through intermediate tokens to solve complex tasks. However, we posit that typical reasoning traces contain many redundant tokens,…

Computation and Language · Computer Science 2025-06-11 Tergel Munkhbat , Namgyu Ho , Seo Hyun Kim , Yongjin Yang , Yujin Kim , Se-Young Yun

The verbosity of Chain-of-Thought (CoT) reasoning hinders its mass deployment in efficiency-critical applications. Recently, implicit CoT approaches have emerged, which encode reasoning steps within LLM's hidden embeddings (termed…

Computation and Language · Computer Science 2026-01-28 Yinhan He , Wendy Zheng , Yaochen Zhu , Zaiyi Zheng , Lin Su , Sriram Vasudevan , Qi Guo , Liangjie Hong , Jundong Li