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Enhancing the reasoning capability of large language models (LLMs) remains a core challenge in natural language processing. The Chain-of-Thought (CoT) paradigm dominates practical applications for its single-round efficiency, yet its…

This paper introduces a simple and scalable approach to improve the data efficiency of large language model (LLM) training by augmenting existing text data with thinking trajectories. The compute for pre-training LLMs has been growing at an…

Computation and Language · Computer Science 2025-10-20 Liang Wang , Nan Yang , Shaohan Huang , Li Dong , Furu Wei

Large language models (LLMs) have demonstrated remarkable reasoning capabilities in math and coding, often bolstered by post-training on the chain-of-thoughts (CoTs) generated by stronger models. However, existing strategies for curating…

Machine Learning · Computer Science 2025-05-27 Siqi Kou , Qingyuan Tian , Hanwen Xu , Zihao Zeng , Zhijie Deng

Efficiently acquiring external knowledge and up-to-date information is essential for effective reasoning and text generation in large language models (LLMs). Prompting advanced LLMs with reasoning capabilities to use search engines during…

Computation and Language · Computer Science 2025-08-07 Bowen Jin , Hansi Zeng , Zhenrui Yue , Jinsung Yoon , Sercan Arik , Dong Wang , Hamed Zamani , Jiawei Han

The reasoning capabilities of Large Language Models (LLMs) play a critical role in many downstream tasks, yet depend strongly on the quality of training data. Despite various proposed data construction methods, their practical utility in…

Computation and Language · Computer Science 2025-10-09 Yike Zhao , Simin Guo , Ziqing Yang , Shifan Han , Dahua Lin , Fei Tan

Recent advancements in Chain-of-Thought (CoT) reasoning utilize complex modules but are hampered by high token consumption, limited applicability, and challenges in reproducibility. This paper conducts a critical evaluation of CoT…

Computation and Language · Computer Science 2024-06-12 Mengru Ding , Hanmeng Liu , Zhizhang Fu , Jian Song , Wenbo Xie , Yue Zhang

We prove the Riemann Hypothesis via an analytically regulated surface integral over the critical strip of the Riemann zeta function. The key idea is that the convergence of this normalized integral is equivalent to the condition that all…

General Mathematics · Mathematics 2025-08-11 Dennis-Magnus Welz

We propose a method for the accurate estimation of rare event or failure probabilities for expensive-to-evaluate numerical models in high dimensions. The proposed approach combines ideas from large deviation theory and adaptive importance…

Computation · Statistics 2023-03-28 Shanyin Tong , Georg Stadler

Large Reasoning Models (LRMs) have shown remarkable reasoning capabilities, yet they often suffer from overthinking, expending redundant computational steps on simple problems, or underthinking, failing to explore sufficient reasoning paths…

Artificial Intelligence · Computer Science 2026-04-03 Yulin Li , Tengyao Tu , Li Ding , Junjie Wang , Huiling Zhen , Yixin Chen , Yong Li , Zhuotao Tian

Large language models (LLMs) have achieved remarkable progress on mathematical tasks through Chain-of-Thought (CoT) reasoning. However, existing mathematical CoT datasets often suffer from Thought Leaps due to experts omitting intermediate…

Computation and Language · Computer Science 2025-12-01 Haolei Xu , Yuchen Yan , Yongliang Shen , Wenqi Zhang , Guiyang Hou , Shengpei Jiang , Kaitao Song , Weiming Lu , Jun Xiao , Yueting Zhuang

Large language models (LLMs) are capable of answering knowledge-intensive complex questions with chain-of-thought (CoT) reasoning. However, they tend to generate factually incorrect reasoning steps when the required knowledge is not…

Computation and Language · Computer Science 2023-11-27 Shulin Cao , Jiajie Zhang , Jiaxin Shi , Xin Lv , Zijun Yao , Qi Tian , Juanzi Li , Lei Hou

Large language models (LLMs) have shown significant progress in reasoning tasks. However, recent studies show that transformers and LLMs fail catastrophically once reasoning problems exceed modest complexity. We revisit these findings…

Artificial Intelligence · Computer Science 2025-10-28 Revanth Rameshkumar , Jimson Huang , Yunxin Sun , Fei Xia , Abulhair Saparov

A diverse array of reasoning strategies has been proposed to elicit the capabilities of large language models. However, in this paper, we point out that traditional evaluations which focus solely on performance metrics miss a key factor:…

Computation and Language · Computer Science 2024-06-18 Junlin Wang , Siddhartha Jain , Dejiao Zhang , Baishakhi Ray , Varun Kumar , Ben Athiwaratkun

This study investigates the automation of meta-analysis in scientific documents using large language models (LLMs). Meta-analysis is a robust statistical method that synthesizes the findings of multiple studies support articles to provide a…

Computation and Language · Computer Science 2024-11-19 Jawad Ibn Ahad , Rafeed Mohammad Sultan , Abraham Kaikobad , Fuad Rahman , Mohammad Ruhul Amin , Nabeel Mohammed , Shafin Rahman

Despite great performance on Olympiad-level reasoning problems, frontier large language models can still struggle on high school math when presented with novel problems outside standard benchmarks. Going beyond final accuracy, we propose a…

Computation and Language · Computer Science 2025-04-10 Atharva Pandey , Kshitij Dubey , Rahul Sharma , Amit Sharma

Large Reasoning Models (LRMs) have demonstrated impressive capabilities but suffer from cognitive inefficiencies like "overthinking" simple problems and "underthinking" complex ones. While existing methods that use supervised fine-tuning…

Artificial Intelligence · Computer Science 2026-03-24 Tian Liang , Wenxiang Jiao , Zhiwei He , Jiahao Xu , Haitao Mi , Dong Yu

Large language models have shown remarkable reasoning abilities and scaling laws suggest that large parameter count, especially along the depth axis, is the primary driver. In this work, we make a stronger claim -- many reasoning problems…

Computation and Language · Computer Science 2025-02-25 Nikunj Saunshi , Nishanth Dikkala , Zhiyuan Li , Sanjiv Kumar , Sashank J. Reddi

This paper explores the system 1 thinking capability of Large Reasoning Models (LRMs), the intuitive ability to respond efficiently with minimal token usage. While existing LRMs rely on long-chain reasoning and excel at complex tasks, their…

Computation and Language · Computer Science 2026-05-04 Wenyuan Zhang , Shuaiyi Nie , Xinghua Zhang , Zefeng Zhang , Tingwen Liu

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

This study focuses on improving the performance of lightweight Large Language Models (LLMs) in mathematical reasoning tasks. We introduce a novel method for measuring mathematical logic similarity and design an automatic screening mechanism…

Computation and Language · Computer Science 2024-09-04 Ding Kai , Ma Zhenguo , Yan Xiaoran
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