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While Large Language Models (LLMs) have excelled in textual reasoning, they struggle with mathematical domains like geometry that intrinsically rely on visual aids. Existing approaches to Visual Chain-of-Thought (VCoT) are often limited by…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Weikang Shi , Aldrich Yu , Rongyao Fang , Houxing Ren , Ke Wang , Aojun Zhou , Changyao Tian , Xinyu Fu , Yuxuan Hu , Zimu Lu , Linjiang Huang , Si Liu , Rui Liu , Hongsheng Li

Large Language Models (LLMs) have shown strong performance in solving mathematical problems, with code-based solutions proving particularly effective. However, the best practice to leverage coding instruction data to enhance mathematical…

Computation and Language · Computer Science 2024-12-17 Chengwei Wei , Bin Wang , Jung-jae Kim , Guimei Liu , Nancy F. Chen

Multimodal large language models (MLLMs) have exhibited remarkable performance in various visual tasks, yet still struggle with spatial reasoning. Recent efforts mitigate this by injecting geometric features from 3D foundation models, but…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Zhaochen Liu , Limeng Qiao , Guanglu Wan , Tingting Jiang

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth

Code has emerged as a precise and executable medium for reasoning and action in the agent era. Yet, progress has largely focused on language-centric tasks such as program synthesis and debugging, leaving visual-centric coding underexplored.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-05 Kevin Qinghong Lin , Yuhao Zheng , Hangyu Ran , Dantong Zhu , Dongxing Mao , Linjie Li , Philip Torr , Alex Jinpeng Wang

Despite recent advances in multimodal reasoning, representing auxiliary geometric constructions remains a fundamental challenge for multimodal large language models (MLLMs). Such constructions are absent from the original diagram and must…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Haiying Xu , Zihan Wang , Song Dai , Zhengxuan Zhang , Kairan Dou , Xuming Hu

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

While Multimodal Large Language Models (MLLMs) excel at visual understanding, they often struggle in complex scenarios that require visual planning and imagination. Inspired by how humans use sketching as a form of visual thinking to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Huanyu Zhang , Wenshan Wu , Chengzu Li , Ning Shang , Yan Xia , Yangyu Huang , Yifan Zhang , Li Dong , Zhang Zhang , Liang Wang , Tieniu Tan , Furu Wei

Recent advances in language models have demonstrated their capability to solve mathematical reasoning problems, achieving near-perfect accuracy on grade-school level math benchmarks like GSM8K. In this paper, we formally study how language…

Artificial Intelligence · Computer Science 2024-07-31 Tian Ye , Zicheng Xu , Yuanzhi Li , Zeyuan Allen-Zhu

Evaluation of multimodal reasoning models is typically reduced to a single accuracy score, implicitly treating reasoning as a unitary capability. We introduce MathLens, a benchmark of textbook-style geometry problems that exposes this…

Computation and Language · Computer Science 2026-05-08 Jiwan Chung , Neel Joshi , Pratyusha Sharma , Youngjae Yu , Vibhav Vineet

Spatial reasoning is a core aspect of human intelligence that allows perception, inference and planning in 3D environments. However, current vision-language models (VLMs) struggle to maintain geometric coherence and cross-view consistency…

Artificial Intelligence · Computer Science 2025-12-03 Qiyao Xue , Weichen Liu , Shiqi Wang , Haoming Wang , Yuyang Wu , Wei Gao

Multimodal Mathematical Reasoning (MMR) has recently attracted increasing attention for its capability to solve mathematical problems involving both textual and visual modalities. However, current models still face significant challenges in…

Artificial Intelligence · Computer Science 2026-04-15 Tianyu Yang , Sihong Wu , Yilun Zhao , Zhenwen Liang , Lisen Dai , Chen Zhao , Minhao Cheng , Arman Cohan , Xiangliang Zhang

We study how to extend chain-of-thought (CoT) beyond language to better handle multimodal reasoning. While CoT helps LLMs and VLMs articulate intermediate steps, its text-only form often fails on vision-intensive problems where key…

Artificial Intelligence · Computer Science 2026-02-03 Yifei Shao , Kun Zhou , Ziming Xu , Mohammad Atif Quamar , Shibo Hao , Zhen Wang , Zhiting Hu , Biwei Huang

Humans have the ability to reason about geometric patterns in images and scenes from a young age. However, developing large multimodal models (LMMs) capable of similar reasoning remains a challenge, highlighting the need for robust…

Artificial Intelligence · Computer Science 2025-04-15 Sina Rismanchian , Yasaman Razeghi , Sameer Singh , Shayan Doroudi

Program code serves as a bridge linking vision and logic, providing a feasible supervisory approach for enhancing the multimodal reasoning capability of large models through geometric operations such as auxiliary line construction and…

Artificial Intelligence · Computer Science 2026-02-10 Zhenyu Wu , Yanxi Long , Jian Li , Hua Huang

Predicting program behavior and reasoning about code execution remain significant challenges in software engineering, particularly for large language models (LLMs) designed for code analysis. While these models excel at understanding static…

Software Engineering · Computer Science 2025-02-11 Cuong Chi Le , Hoang-Chau Truong-Vinh , Huy Nhat Phan , Dung Duy Le , Tien N. Nguyen , Nghi D. Q. Bui

Large Language Models (LLMs) increasingly exhibit strong reasoning abilities, often attributed to their capacity to generate chain-of-thought-style intermediate reasoning. Recent work suggests that exposure to code can further enhance these…

Machine Learning · Computer Science 2026-01-30 Lukas Twist , Shu Yang , Hanqi Yan , Jingzhi Gong , Di Wang , Helen Yannakoudakis , Jie M. Zhang

Effective code generation with language models hinges on two critical factors: accurately understanding the intent of the prompt and generating code that applies algorithmic reasoning to produce correct solutions capable of passing diverse…

Artificial Intelligence · Computer Science 2025-10-21 Amir Jalilifard , Anderson de Rezende Rocha , Marcos Medeiros Raimundo

Multimodal large language models (MLLMs) have demonstrated remarkable capabilities in vision-language answering tasks. Despite their strengths, these models often encounter challenges in achieving complex reasoning tasks such as…

Artificial Intelligence · Computer Science 2025-11-11 Jinhao Chen , Zhen Yang , Jianxin Shi , Tianyu Wo , Jie Tang

Recent advancements in Large Language Models (LLMs) have showcased striking results on existing logical reasoning benchmarks, with some models even surpassing human performance. However, the true depth of their competencies and robustness…

Computation and Language · Computer Science 2024-11-05 Pengfei Hong , Navonil Majumder , Deepanway Ghosal , Somak Aditya , Rada Mihalcea , Soujanya Poria
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