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Previous work shows that the chain of continuous thought (continuous CoT) improves the reasoning capability of large language models (LLMs) by enabling implicit parallel thinking, and a subsequent work provided theoretical insight by…

Machine Learning · Computer Science 2026-03-03 Hanlin Zhu , Shibo Hao , Zhiting Hu , Jiantao Jiao , Stuart Russell , Yuandong Tian

Recent studies have discovered that Chain-of-Thought prompting (CoT) can dramatically improve the performance of Large Language Models (LLMs), particularly when dealing with complex tasks involving mathematics or reasoning. Despite the…

Machine Learning · Computer Science 2023-12-27 Guhao Feng , Bohang Zhang , Yuntian Gu , Haotian Ye , Di He , Liwei Wang

Large Language Models (LLMs) have revolutionized natural language processing and hold immense potential for advancing Artificial Intelligence. However, the core architecture of most mainstream LLMs -- the Transformer -- has inherent…

Computation and Language · Computer Science 2024-10-21 Xiang Zhang , Dujian Ding

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

Latent reasoning via continuous chain-of-thoughts (Latent CoT) has emerged as a promising alternative to discrete CoT reasoning. Operating in continuous space increases expressivity and has been hypothesized to enable superposition: the…

Computation and Language · Computer Science 2026-04-09 Michael Rizvi-Martel , Guillaume Rabusseau , Marius Mosbach

Large Language Models (LLMs) excel at many tasks but often falter on complex problems that require structured, multi-step reasoning. We introduce the Diagram of Thought (DoT), a framework that enables a single LLM to build and navigate a…

Computation and Language · Computer Science 2026-05-15 Yifan Zhang , Yang Yuan , Andrew Chi-Chih Yao

Recent studies have shown that Large Language Models (LLMs) can achieve strong reasoning performance by incorporating functional symbolic representations that abstractly describe graph traversal algorithms and step-by-step reasoning in…

Artificial Intelligence · Computer Science 2026-05-28 Phuong Minh Nguyen , Tien Huu Dang , Naoya Inoue

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

Large language models (LLMs) have demonstrated remarkable capabilities in tasks requiring reasoning and multi-step problem-solving through the use of chain-of-thought (CoT) prompting. However, generating the full CoT process results in…

Computation and Language · Computer Science 2024-09-16 Tianqiao Liu , Zui Chen , Zitao Liu , Mi Tian , Weiqi Luo

Requiring a large language model (LLM) to generate intermediary reasoning steps, known as Chain of Thought (CoT), has been shown to be an effective way of boosting performance. Previous approaches have focused on generating multiple…

Computation and Language · Computer Science 2025-05-28 Haritz Puerto , Tilek Chubakov , Xiaodan Zhu , Harish Tayyar Madabushi , Iryna Gurevych

Chain of Thought (CoT) reasoning has demonstrated remarkable deep reasoning capabilities in both large language models (LLMs) and multimodal large language models (MLLMs). However, its reliability is often undermined by the accumulation of…

Artificial Intelligence · Computer Science 2025-11-26 Zijun Chen , Wenbo Hu , Richang Hong

Recent advances in test-time scaling have enabled Large Language Models (LLMs) to display sophisticated reasoning abilities via extended Chain-of-Thought (CoT) generation. Despite their potential, these Reasoning LLMs (RLMs) often…

Computation and Language · Computer Science 2025-05-21 Zhen Xiong , Yujun Cai , Zhecheng Li , Yiwei Wang

Large language models (LLMs) have shown impressive capabilities in handling complex tasks through long-chain reasoning. However, the extensive reasoning steps involved can significantly increase computational costs, posing challenges for…

Computation and Language · Computer Science 2025-05-28 Yunhao Wang , Yuhao Zhang , Tinghao Yu , Can Xu , Feng Zhang , Fengzong Lian

Reasoning with a chain-of-thought (CoT) enables Large Language Models (LLMs) to solve complex tasks but incurs significant inference costs due to the generation of long rationales. We propose Thinking States, a method that performs…

Computation and Language · Computer Science 2026-02-10 Ido Amos , Avi Caciularu , Mor Geva , Amir Globerson , Jonathan Herzig , Lior Shani , Idan Szpektor

Large language models (LLMs) can perform complex reasoning by generating intermediate reasoning steps. Providing these steps for prompting demonstrations is called chain-of-thought (CoT) prompting. CoT prompting has two major paradigms. One…

Computation and Language · Computer Science 2022-10-10 Zhuosheng Zhang , Aston Zhang , Mu Li , Alex Smola

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

Modern language models generate chain-of-thought traces by autoregressively sampling tokens from a finite vocabulary. While this discrete sampling has achieved remarkable success, conducting chain-of-thought with continuously-valued tokens…

Machine Learning · Computer Science 2026-03-06 Halil Alperen Gozeten , M. Emrullah Ildiz , Xuechen Zhang , Hrayr Harutyunyan , Ankit Singh Rawat , Samet Oymak

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, especially when guided by explicit chain-of-thought (CoT) reasoning that verbalizes intermediate steps. While CoT improves both interpretability and accuracy,…

Large language models (LLMs) possess vast semantic knowledge but often struggle with complex reasoning tasks, particularly in relational reasoning problems such as kinship or spatial reasoning. In this paper, we present Path-of-Thoughts…

Computation and Language · Computer Science 2026-03-25 Ge Zhang , Mohammad Ali Alomrani , Hongjian Gu , Jiaming Zhou , Yaochen Hu , Bin Wang , Qun Liu , Mark Coates , Yingxue Zhang , Jianye Hao

Large language models (LLMs) are typically constrained to reason in the language space, where they express the reasoning process through a chain-of-thought (CoT) to solve complex problems. However, the language space may not always be…

Computation and Language · Computer Science 2025-11-04 Shibo Hao , Sainbayar Sukhbaatar , DiJia Su , Xian Li , Zhiting Hu , Jason Weston , Yuandong Tian
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