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Geometrically-Constrained Agent for Spatial Reasoning

Zeren Chen1,2*, Xiaoya Lu2,3*, Zhijie Zheng1,2, Pengrui Li1, Lehan He1,4, Yijin Zhou2,3,4,
Jing Shao2, Bohan Zhuang5†, Lu Sheng1†

1School of Software, Beihang University, 2Shanghai AI Laboratory, 3Shanghai Jiao Tong University,
4Shanghai Innovation Institute, 5ZIP Lab, Zhejiang University

*Equal Contribution    Corresponding Author

📖 arXiv | 🤗 HF Paper | 🌐 Homepage

🏠 About

Dialogue_Teaser
Geometrically-Constrained Agent (GCA) resolves the semantic-to-geometric gap by decoupling the reasoning process into Task Formalization and Constrained Geometric Computation.

📢 News

  • [2025-12-14] 📝 We release the code of GCA.
  • [2025-12-1] 🔥 We release the paper of GCA.

⚙️ Quick Start

Installation

The code requires python>=3.11 and torch>=2.5.1. Please follow the instructions here to install the dependencies and third party repositories.

Eval Dataset

We evaluate GCA on several challenging spatial reasoning benchmarks, including MMSI-Bench, MindCube, OmniSpatial, SPBench and CVBench. Please follow the instructions here to prepare these evaluation datasets.

Usage

For detailed configuration (JSON/Env Vars/CLI) and VLM deployment instructions, please refer to the Usage Documentation.

Run the GCA on supported benchmarks (MMSI, MindCube, CVBench, etc.):

python -m entrypoints.agent --benchmark mmsi --concurrency 16

🔗 Citation

If you find our work and this codebase helpful, please consider starring this repo 🌟 and cite:

@article{chen2025geometrically,
      title={Geometrically-Constrained Agent for Spatial Reasoning}, 
      author={Zeren, Chen and Xiaoya, Lu and Zhijie, Zheng and Pengrui, Li and Lehan, He and Yijin, Zhou and Jing, Shao and Bohan, Zhuang and Lu, Sheng},
      journal={arXiv preprint arXiv:2511.22659},
      year={2025}
}

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