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Recent reasoning models through test-time scaling have demonstrated that long chain-of-thoughts can unlock substantial performance boosts in hard reasoning tasks such as math and code. However, the benefit of such long thoughts for system-2…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Yuan-Hong Liao , Sven Elflein , Liu He , Laura Leal-Taixé , Yejin Choi , Sanja Fidler , David Acuna

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

Transformers, the backbone of modern large language models (LLMs), face inherent architectural limitations that impede their reasoning capabilities. Unlike recurrent networks, Transformers lack recurrent connections, confining them to…

Computation and Language · Computer Science 2024-10-30 Xiang Zhang , Juntai Cao , Chenyu You

Recent work explores latent reasoning to improve reasoning efficiency by replacing explicit reasoning trajectories with continuous representations in a latent space, yet its effectiveness varies across settings. Analysis of model confidence…

Artificial Intelligence · Computer Science 2026-02-13 Xin Xu , Tong Yu , Xiang Chen , Haoliang Wang , Julian McAuley , Saayan Mitra

Chain of thought is a natural inference-time method for increasing the computational power of transformer-based large language models (LLMs), but comes at the cost of sequential decoding. Are there more efficient alternatives to expand a…

Machine Learning · Computer Science 2025-11-07 William Merrill , Ashish Sabharwal

Large Language Models achieve next-token prediction by transporting a vectorized piece of text (prompt) across an accompanying embedding space under the action of successive transformer layers. The resulting high-dimensional trajectories…

Machine Learning · Computer Science 2025-02-17 Raphaël Sarfati , Toni J. B. Liu , Nicolas Boullé , Christopher J. Earls

Chain of Thought (CoT) prompting has been shown to significantly improve the performance of large language models (LLMs), particularly in arithmetic and reasoning tasks, by instructing the model to produce intermediate reasoning steps.…

Machine Learning · Computer Science 2025-03-03 Jianhao Huang , Zixuan Wang , Jason D. Lee

Chain-of-thought reasoning and scratchpads have emerged as critical tools for enhancing the computational capabilities of transformers. While theoretical results show that polynomial-length scratchpads can extend transformers' expressivity…

Machine Learning · Computer Science 2025-07-15 Alireza Amiri , Xinting Huang , Mark Rofin , Michael Hahn

Transformers have become the foundational architecture for a broad spectrum of sequence modeling applications, underpinning state-of-the-art systems in natural language processing, vision, and beyond. However, their theoretical limitations…

Computation and Language · Computer Science 2026-02-13 Michelle Yuan , Weiyi Sun , Amir H. Rezaeian , Jyotika Singh , Sandip Ghoshal , Yao-Ting Wang , Miguel Ballesteros , Yassine Benajiba

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

Large Reasoning Models (LRMs) achieve promising performance but compromise token efficiency due to verbose reasoning processes. Unconscious Thought Theory (UTT) posits that complex problems can be solved more efficiently through…

Computation and Language · Computer Science 2025-05-27 Ruihan Gong , Yue Liu , Wenjie Qu , Mingzhe Du , Yufei He , Yingwei Ma , Yulin Chen , Xiang Liu , Yi Wen , Xinfeng Li , Ruidong Wang , Xinzhong Zhu , Bryan Hooi , Jiaheng Zhang

Chain-of-thought (CoT) significantly enhances the performance of large language models (LLMs) across a wide range of tasks, and prior research shows that CoT can theoretically increase expressiveness. However, there is limited mechanistic…

Computation and Language · Computer Science 2025-06-04 Yifan Zhang , Wenyu Du , Dongming Jin , Jie Fu , Zhi Jin

Chain of Thought (CoT) reasoning enhances logical performance by decomposing complex tasks, yet its multimodal extension faces a trade-off. The prevailing Thinking with Images paradigm achieves visual refocusing by explicitly cropping image…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Jizheng Ma , Xiaofei Zhou , Geyuan Zhang , Yanlong Song , Han Yan

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

We present the surprising finding that a language model's reasoning capabilities can be improved by training on synthetic datasets of chain-of-thought (CoT) traces from more capable models, even when all of those traces lead to an incorrect…

Artificial Intelligence · Computer Science 2026-01-26 Abhranil Chandra , Ayush Agrawal , Arian Hosseini , Sebastian Fischmeister , Rishabh Agarwal , Navin Goyal , Aaron Courville

Few-shot Chain-of-Thought (CoT) prompting has demonstrated strong performance in improving the reasoning capabilities of large language models (LLMs). While theoretical investigations have been conducted to understand CoT, the underlying…

Computation and Language · Computer Science 2024-10-23 Yingqian Cui , Pengfei He , Xianfeng Tang , Qi He , Chen Luo , Jiliang Tang , Yue Xing

While Long Chain-of-Thought (CoT) reasoning significantly improves Large Language Models (LLMs) performance on complex reasoning tasks, the substantial computational and memory costs of generating long CoT sequences limit their efficiency…

Artificial Intelligence · Computer Science 2026-02-03 Liang Zhang , Yu Zhao , Longyue Wang , Tianqi Shi , Weihua Luo , Kaifu Zhang , Jinsong Su

A key paradigm to improve the reasoning capabilities of large language models (LLMs) is to allocate more inference-time compute to search against a verifier or reward model. This process can then be utilized to refine the pretrained model…

Artificial Intelligence · Computer Science 2025-03-04 Juno Kim , Denny Wu , Jason Lee , Taiji Suzuki

While previous multimodal slow-thinking methods have demonstrated remarkable success in single-image understanding scenarios, their effectiveness becomes fundamentally constrained when extended to more complex multi-image comprehension…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Guanghao Zhang , Tao Zhong , Yan Xia , Mushui Liu , Zhelun Yu , Haoyuan Li , Wanggui He , Fangxun Shu , Dong She , Yi Wang , Hao Jiang

Recently, stepwise supervision on Chain of Thoughts (CoTs) presents an enhancement on the logical reasoning tasks such as coding and math, with the help of Monte Carlo Tree Search (MCTS). However, its contribution to tasks requiring…

Artificial Intelligence · Computer Science 2025-04-15 Chengyuan Liu , Shihang Wang , Lizhi Qing , Kaisong Song , Junjie Cao , Jun Lin , Ji Zhang , Ang Li , Kun Kuang , Fei Wu