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Multimodal Mathematical Reasoning Embedded in Aerial Vehicle Imagery: Benchmarking, Analysis, and Exploration

Created by
  • Haebom

Author

Yue Zhou, Litong Feng, Mengcheng Lan, Xue Yang, Qingyun Li, Yiping Ke, Xue Jiang, Wayne Zhang

Outline

This paper addresses the issue that existing vision-language models (VLMs) are under-validated for mathematical reasoning, which is crucial for tasks such as accurate distance and area calculations, trajectory estimation, and spatial analysis in unmanned aerial vehicle (UAV)-based remote sensing. To address this, we present AVI-Math, the first benchmark to rigorously evaluate multimodal mathematical reasoning in aerial imagery beyond simple computational tasks, incorporating domain-specific knowledge from domains such as geometry, logic, and algebra. AVI-Math consists of 3,773 high-quality vehicle-related questions collected from various altitudes and UAV angles, covering six mathematical subjects and 20 topics. This paper comprehensively evaluates 14 leading VLMs and demonstrates that, despite their success in previous multimodal benchmarks, these models struggle with the AVI-Math inference task. We also explore Chain-of-Thought prompting and fine-tuning techniques, demonstrating their effectiveness in solving the AVI-Math inference task.

Takeaways, Limitations

Takeaways:
We highlight the importance of mathematical reasoning in UAV-based remote sensing and clearly reveal the limitations of VLMs in this field.
We provide a new benchmark dataset and evaluation method called AVI-Math, providing a foundation for objectively evaluating the mathematical reasoning capabilities of VLMs.
This suggests that Chain-of-Thought prompting and fine-tuning techniques may help improve the mathematical reasoning abilities of VLMs.
It provides valuable insights for the development of reliable VLMs in real-world UAV applications.
Limitations:
The AVI-Math dataset is focused on vehicle-related questions, which may limit its generalizability to other types of UAV applications.
Although it demonstrates the limitations of the mathematical reasoning capabilities of current VLMs, it does not present specific solutions to overcome these limitations.
The effectiveness of Chain-of-Thought prompting and fine-tuning techniques may be limited to the AVI-Math dataset, and performance may vary on other datasets or tasks.
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