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Recent large language models have shown promising capabilities in long-form reasoning, following structured chains of thought before arriving at a final answer. However, we observe that these reasoning paths tend to include substantial…

The remarkable performance of models like the OpenAI o1 can be attributed to their ability to emulate human-like long-time thinking during inference. These models employ extended chain-of-thought (CoT) processes, exploring multiple…

Computation and Language · Computer Science 2025-02-04 Xingyu Chen , Jiahao Xu , Tian Liang , Zhiwei He , Jianhui Pang , Dian Yu , Linfeng Song , Qiuzhi Liu , Mengfei Zhou , Zhuosheng Zhang , Rui Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

Recent models such as OpenAI o1 and DeepSeek-R1 have demonstrated strong performance on reasoning-intensive tasks by generating extended Chain-of-Thought (CoT) traces. While longer reasoning helps with thorough exploration of solution paths…

Artificial Intelligence · Computer Science 2025-12-03 Jingyang Yi , Jiazheng Wang , Sida Li

Recent developments have enabled advanced reasoning in Large Language Models (LLMs) via long Chain-of-Thought (CoT), while long CoT suffers from high computational costs and significant latency losses owing to the autoregressive nature of…

Computation and Language · Computer Science 2025-10-13 Chengzhengxu Li , Xiaoming Liu , Zhaohan Zhang , Shaochu Zhang , Shengchao Liu , Guoxin Ma , Yu Lan , Chao Shen

While explicit Chain-of-Thought (CoT) equips Large Language Models (LLMs) with strong reasoning capabilities, it requires models to verbalize every intermediate step in text tokens, constraining the model thoughts to the discrete vocabulary…

Computation and Language · Computer Science 2026-02-12 Weihao Liu , Dehai Min , Lu Cheng

Test-Time Scaling (TTS) refers to approaches that improve reasoning performance by allocating extra computation during inference, without altering the model's parameters. While existing TTS methods operate in a discrete token space by…

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

Detecting harmful AI actions is important as AI agents gain adoption. Chain-of-thought (CoT) monitoring is one method widely used to detect adversarial attacks and AI misalignment. However, attackers and misaligned models might evade CoT…

Computation and Language · Computer Science 2025-10-17 Shiyuan Guo , Henry Sleight , Fabien Roger

Large language models (LLMs) excel at complex reasoning when they include intermediate steps, known as "chains of thought" (CoTs). However, these rationales are often overly verbose, even for simple problems, leading to wasted context,…

Artificial Intelligence · Computer Science 2025-07-09 Seyedarmin Azizi , Erfan Baghaei Potraghloo , Massoud Pedram

Objective: To improve the efficiency of medical question answering (MedQA) with large language models (LLMs) by avoiding unnecessary reasoning while maintaining accuracy. Methods: We propose Selective Chain-of-Thought (Selective CoT), an…

Computation and Language · Computer Science 2026-02-24 Zaifu Zhan , Min Zeng , Shuang Zhou , Yiran Song , Xiaoyi Chen , Yu Hou , Yifan Wu , Yang Ruan , Rui Zhang

The scalability of large language models for long-context reasoning is severely constrained by the linear growth of their Transformer key-value cache, which incurs significant memory and computational costs. We posit that as a model…

Computation and Language · Computer Science 2025-12-30 Giovanni Monea , Yair Feldman , Shankar Padmanabhan , Kianté Brantley , Yoav Artzi

Large language models (LLMs) show strong reasoning abilities but often produce unnecessarily long explanations that reduce efficiency. Although reinforcement learning (RL) has been used to improve reasoning, most methods focus on accuracy…

Machine Learning · Computer Science 2026-04-20 Hanbing Liu , Lang Cao , Yuanyi Ren , Mengyu Zhou , Haoyu Dong , Xiaojun Ma , Shi Han , Dongmei Zhang

Reasoning-oriented Large Language Models (LLMs) often rely on generating explicit tokens step by step, and their effectiveness typically hinges on large-scale supervised fine-tuning or reinforcement learning. While Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-09-30 Haoyu Zheng , Zhuonan Wang , Yuqian Yuan , Tianwei Lin , Wenqiao Zhang , Zheqi Lv , Juncheng Li , Siliang Tang , Yueting Zhuang , Hongyang He

Reasoning-specialized models like OpenAI's 5.1 and DeepSeek-V3.2 allocate substantial inference compute to extended chain-of-thought (CoT) traces, yet reasoning tokens incur significant costs. How do different reasoning modalities of code,…

Machine Learning · Computer Science 2026-02-17 Ian Su , Gaurav Purushothaman , Jey Narayan , Ruhika Goel , Kevin Zhu , Sunishchal Dev , Yash More , Maheep Chaudhary

Chain-of-Thought reasoning has significantly enhanced the problem-solving capabilities of Large Language Models. Unfortunately, current models generate reasoning steps sequentially without foresight, often becoming trapped in suboptimal…

Computation and Language · Computer Science 2026-04-16 Guoming Ling , Zhongzhan Huang , Yupei Lin , Junxin Li , Shanshan Zhong , Hefeng Wu , Liang Lin

Long chain-of-thought~(CoT) has become a dominant paradigm for enhancing the reasoning capability of large reasoning models~(LRMs); however, the performance gains often come with a substantial increase in reasoning budget. Recent studies…

Artificial Intelligence · Computer Science 2026-03-03 Jie Cao , Tianwei Lin , Zhenxuan Fan , Bo Yuan , Ziyuan Zhao , Rolan Yan , Wenqiao Zhang , Siliang Tang

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

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

Large language models (LLMs) have shown remarkable performance in complex reasoning tasks, but their efficiency is hindered by the substantial memory and computational costs associated with generating lengthy tokens. In this paper, we…

Computation and Language · Computer Science 2025-09-24 Jintian Zhang , Yuqi Zhu , Mengshu Sun , Yujie Luo , Shuofei Qiao , Lun Du , Da Zheng , Huajun Chen , Ningyu Zhang

This is the second in a series of short reports that seek to help business, education, and policy leaders understand the technical details of working with AI through rigorous testing. In this report, we investigate Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-06-10 Lennart Meincke , Ethan Mollick , Lilach Mollick , Dan Shapiro