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Recent large reasoning models such as DeepSeek-R1 exhibit strong complex problems solving abilities by generating long chain-of-thought (CoT) reasoning steps. It is challenging to directly train small language models (SLMs) to emerge long…

Computation and Language · Computer Science 2025-06-19 Zhaoyang Wang , Jinqi Jiang , Tian Qiu , Hui Liu , Xianfeng Tang , Huaxiu Yao

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

Pretrained large language models (LLMs) are increasingly utilized across a wide range of natural language processing (NLP) tasks due to their impressive capabilities as few-shot learners. Recent techniques, such as chain-of-thought (CoT)…

Machine Learning · Computer Science 2024-12-02 Kamesh R

By extending the advantage of chain-of-thought (CoT) reasoning in human-like step-by-step processes to multimodal contexts, multimodal CoT (MCoT) reasoning has recently garnered significant research attention, especially in the integration…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Yaoting Wang , Shengqiong Wu , Yuecheng Zhang , Shuicheng Yan , Ziwei Liu , Jiebo Luo , Hao Fei

In this paper, we address the challenging task of multimodal mathematical reasoning by incorporating the ability of "slow thinking" into multimodal large language models (MLLMs). Our core idea is that different levels of reasoning abilities…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Kun Xiang , Zhili Liu , Zihao Jiang , Yunshuang Nie , Kaixin Cai , Yiyang Yin , Runhui Huang , Haoxiang Fan , Hanhui Li , Weiran Huang , Yihan Zeng , Yu-Jie Yuan , Jianhua Han , Lanqing Hong , Hang Xu , Xiaodan Liang

Large language models (LLMs) have demonstrated remarkable capabilities in language generation, understanding, and few-shot learning in recent years. An extensive body of work has explored how their performance may be further improved…

Computation and Language · Computer Science 2023-05-24 Yilun Du , Shuang Li , Antonio Torralba , Joshua B. Tenenbaum , Igor Mordatch

Recently, Chain-of-Thought (CoT) prompting has delivered success on complex reasoning tasks, which aims at designing a simple prompt like ``Let's think step by step'' or multiple in-context exemplars with well-designed rationales to elicit…

Computation and Language · Computer Science 2024-06-04 Jianing Wang , Qiushi Sun , Xiang Li , Ming Gao

Chain-of-thought (CoT) is a method that enables language models to handle complex reasoning tasks by decomposing them into simpler steps. Despite its success, the underlying mechanics of CoT are not yet fully understood. In an attempt to…

Machine Learning · Computer Science 2023-11-09 Yingcong Li , Kartik Sreenivasan , Angeliki Giannou , Dimitris Papailiopoulos , Samet Oymak

We introduce MAmmoTH, a series of open-source large language models (LLMs) specifically tailored for general math problem-solving. The MAmmoTH models are trained on MathInstruct, our meticulously curated instruction tuning dataset.…

Computation and Language · Computer Science 2023-10-04 Xiang Yue , Xingwei Qu , Ge Zhang , Yao Fu , Wenhao Huang , Huan Sun , Yu Su , Wenhu Chen

Despite the strong performance of large language models (LLMs) in tasks like mathematical reasoning, their practical use is limited by high computational demands and proprietary restrictions. Chain-of-thought (CoT) and program-of-thought…

Computation and Language · Computer Science 2024-11-11 Mohammad Ghiasvand Mohammadkhani

Previous work indicates that large language models exhibit a significant "English bias", i.e. they often perform better when tasks are presented in English. Interestingly, we have observed that using certain other languages in reasoning…

Computation and Language · Computer Science 2025-04-17 Changjiang Gao , Xu Huang , Wenhao Zhu , Shujian Huang , Lei Li , Fei Yuan

Large Language Models (LLMs) increasingly rely on Chain-of-Thought (CoT) reasoning to improve accuracy on complex tasks. However, always generating lengthy reasoning traces is inefficient, leading to excessive token usage and higher…

Mathematical programming -- the task of expressing operations and decision-making problems in precise mathematical language -- is fundamental across domains, yet remains a skill-intensive process requiring operations research expertise.…

Chain-of-Thought (CoT) prompting methods have enabled large language models (LLMs) to generate reasoning paths and solve math word problems (MWPs). However, they are sensitive to mistakes in the paths, as any mistake can result in an…

Computation and Language · Computer Science 2023-12-13 Zhenyu Wu , Meng Jiang , Chao Shen

Mathematical reasoning is a cornerstone of artificial general intelligence and a primary benchmark for evaluating the capabilities of Large Language Models (LLMs). While state-of-the-art models show promise, they often falter when faced…

Computation and Language · Computer Science 2025-07-29 Yifan Hao , Fangning Chao , Yaqian Hao , Zhaojun Cui , Huan Bai , Haiyu Zhang , Yankai Liu , Chao Deng , Junlan Feng

Existing approaches to mathematical reasoning with large language models (LLMs) rely on Chain-of-Thought (CoT) for generalizability or Tool-Integrated Reasoning (TIR) for precise computation. While efforts have been made to combine these…

Computation and Language · Computer Science 2026-02-13 Xin Xu , Yan Xu , Tianhao Chen , Yuchen Yan , Chengwu Liu , Zaoyu Chen , Yufei Wang , Yichun Yin , Yasheng Wang , Lifeng Shang , Qun Liu , Lu Yin

While reasoning and multilingual capabilities in language models (LMs) have achieved remarkable progress in recent years, their integration into a unified paradigm - multilingual reasoning - is at a nascent stage. Multilingual reasoning…

Computation and Language · Computer Science 2025-10-15 Akash Ghosh , Debayan Datta , Sriparna Saha , Chirag Agarwal

Chain-of-thought (CoT) reasoning has emerged as an effective approach for activating latent capabilities in LLMs. Interestingly, we observe that both CoT reasoning and self-training share the core objective: iteratively leveraging…

Computation and Language · Computer Science 2025-05-27 Zongqian Wu , Baoduo Xu , Ruochen Cui , Mengmeng Zhan , Xiaofeng Zhu , Lei Feng

While recent advances in preference learning have enhanced alignment in human feedback, mathematical reasoning remains a persistent challenge. We investigate how data diversification strategies in preference optimization can improve the…

Artificial Intelligence · Computer Science 2025-07-04 Berkan Dokmeci , Qingyang Wu , Ben Athiwaratkun , Ce Zhang , Shuaiwen Leon Song , James Zou

In the field of chemical engineering, traditional data-processing and prediction methods face significant challenges. Machine-learning and large-language models (LLMs) also have their respective limitations. This paper explores the…

Machine Learning · Computer Science 2025-02-19 Tianhang Zhou , Yingchun Niu , Xingying Lan , Chunming Xu
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