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The potential of Vision-Language Models (VLMs) often remains underutilized in handling complex text-based problems, particularly when these problems could benefit from visual representation. Resonating with humans' ability to solve complex…

Artificial Intelligence · Computer Science 2024-02-23 Syeda Nahida Akter , Aman Madaan , Sangwu Lee , Yiming Yang , Eric Nyberg

Mathematical reasoning is a hallmark of human intelligence, requiring logical deduction, symbolic manipulation, and abstract thinking. Recent multimodal large language models (MLLMs) have demonstrated strong performance on geometry problems…

Computation and Language · Computer Science 2026-05-26 Yingji Zhang , Yong Dai , André Freitas

Advancing towards artificial superintelligence requires rich and intelligent perceptual capabilities. A critical frontier in this pursuit is overcoming the limited spatial understanding of Multimodal Large Language Models (MLLMs), where…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Ruiheng Liu , Haihong Hao , Mingfei Han , Xin Gu , Kecheng Zhang , Changlin Li , Xiaojun Chang

We propose GeoUni, the first unified geometry expert model capable of generating problem solutions and diagrams within a single framework in a way that enables the creation of unique and individualized geometry problems. Traditionally,…

Machine Learning · Computer Science 2025-05-09 Jo-Ku Cheng , Zeren Zhang , Ran Chen , Jingyang Deng , Ziran Qin , Jinwen Ma

In this paper, we study the problem of geometric reasoning in the context of question-answering. We introduce Dynamic Spatial Memory Network (DSMN), a new deep network architecture designed for answering questions that admit latent visual…

Computation and Language · Computer Science 2018-05-29 Ankit Goyal , Jian Wang , Jia Deng

Video spatial reasoning requires accumulating viewpoint-dependent evidence over time while retaining information useful to the question being asked. Existing spatial video-language models improve geometric perception and long-range context…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Xianqiang Gao , Qizhi Chen , Delin Qu , Haoming Song , Zhigang Wang , Bin Zhao , Dong Wang , Xuelong Li

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

This is the first paper in a series of work we have accomplished over the past three years. In this paper, we have constructed a consistent formal plane geometry system. This will serve as a crucial bridge between IMO-level plane geometry…

Multi-view 3D visual grounding is critical for autonomous driving vehicles to interpret natural languages and localize target objects in complex environments. However, existing datasets and methods suffer from coarse-grained language…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Fuhao Li , Huan Jin , Bin Gao , Liaoyuan Fan , Lihui Jiang , Long Zeng

Diagrams represent a form of visual language that encodes abstract concepts and relationships through structured symbols and their spatial arrangements. Unlike natural images, they are inherently symbolic, and entirely artificial. They thus…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Yanpeng Sun , Shan Zhang , Wei Tang , Aotian Chen , Piotr Koniusz , Kai Zou , Yuan Xue , Anton van den Hengel

Multimodal large language models (MLLMs) have made significant progress in integrating visual and linguistic understanding. Existing benchmarks typically focus on high-level semantic capabilities, such as scene understanding and visual…

Computation and Language · Computer Science 2025-02-18 Shangyu Xing , Changhao Xiang , Yuteng Han , Yifan Yue , Zhen Wu , Xinyu Liu , Zhangtai Wu , Fei Zhao , Xinyu Dai

Addressing the challenge of automated geometry math problem-solving in artificial intelligence (AI) involves understanding multi-modal information and mathematics. Current methods struggle with accurately interpreting geometry diagrams,…

Artificial Intelligence · Computer Science 2024-05-02 Jiaxin Zhang , Yashar Moshfeghi

Vision-Language Models (VLMs) have recently gained attention due to their competitive performance on multiple downstream tasks, achieved by following user-input instructions. However, VLMs still exhibit several limitations in visual…

Computer Vision and Pattern Recognition · Computer Science 2025-10-23 Simone Alghisi , Gabriel Roccabruna , Massimo Rizzoli , Seyed Mahed Mousavi , Giuseppe Riccardi

Achieving human-like reasoning in deep learning models for complex tasks in unknown environments remains a critical challenge in embodied intelligence. While advanced vision-language models (VLMs) excel in static scene understanding, their…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Jinzhou Tang , Jusheng zhang , Sidi Liu , Waikit Xiu , Qinhan Lv , Xiying Li

Humans readily generalize abstract relations, such as recognizing "constant" in shape or color, whereas neural networks struggle, limiting their flexible reasoning. To investigate mechanisms underlying such generalization, we introduce…

Neurons and Cognition · Quantitative Biology 2025-07-28 Jiaqi Shang , Gabriel Kreiman , Haim Sompolinsky

Autoformalization involves automatically translating informal math into formal theorems and proofs that are machine-verifiable. Euclidean geometry provides an interesting and controllable domain for studying autoformalization. In this…

Machine Learning · Computer Science 2024-05-28 Logan Murphy , Kaiyu Yang , Jialiang Sun , Zhaoyu Li , Anima Anandkumar , Xujie Si

While Multimodal Large Language Models (MLLMs) demonstrate proficiency in 2D scenes, extending their perceptual intelligence to 3D point cloud understanding remains a significant challenge. Current approaches focus primarily on aligning 3D…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Dongxu Zhang , Yiding Sun , Pengcheng Li , Yumou Liu , Hongqiang Lin , Haoran Xu , Xiaoxuan Mu , Liang Lin , Wenbiao Yan , Ning Yang , Chaowei Fang , Juanjuan Zhao , Jihua Zhu , Conghui He , Cheng Tan

Visual grounding, localizing objects from natural language descriptions, represents a critical bridge between language and vision understanding. While multimodal large language models (MLLMs) achieve impressive scores on existing…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Rang Li , Lei Li , Shuhuai Ren , Hao Tian , Shuhao Gu , Shicheng Li , Zihao Yue , Yudong Wang , Wenhan Ma , Zhe Yang , Jingyuan Ma , Zhifang Sui , Fuli Luo

Current large vision-language models (LVLMs) typically employ a connector module to link visual features with text embeddings of large language models (LLMs) and use end-to-end training to achieve multi-modal understanding in a unified…

Artificial Intelligence · Computer Science 2025-08-14 Zixian Guo , Ming Liu , Qilong Wang , Zhilong Ji , Jinfeng Bai , Lei Zhang , Wangmeng Zuo

We propose Knowledge Crosswords, a geometric knowledge reasoning benchmark consisting of incomplete knowledge networks bounded by structured factual constraints, where LLMs are tasked with inferring the missing facts to meet all…

Computation and Language · Computer Science 2024-06-26 Wenxuan Ding , Shangbin Feng , Yuhan Liu , Zhaoxuan Tan , Vidhisha Balachandran , Tianxing He , Yulia Tsvetkov
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