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arXiv 2601.16520cs.CVcs.AIcs.CL

TangramPuzzle: 通过组合空间推理评估多模态大语言模型

TangramPuzzle: Evaluating Multimodal Large Language Models with Compositional Spatial Reasoning

Tsinghua University(清华大学);Sun-Yat Sen University(孙逸人大学);Tencent Youtu Lab(腾讯优图实验室);University of Illinois Chicago(伊利诺伊大学香槟分校)

Daixian Liu, Jiayi Kuang, Yinghui Li, Yangning Li, Di Yin, Haoyu Cao, Xing Sun, Ying Shen, Hai-Tao Zheng, Liang Lin, Philip S. Yu

AI总结:

TangramPuzzle通过几何基准测试评估多模态大语言模型的组合空间推理能力,发现模型在匹配轮廓时忽视几何约束,导致碎片变形。

摘要:

多模态大语言模型(MLLMs)在视觉识别和语义理解方面取得了显著进展。然而,其进行精确组合空间推理的能力仍 largely 未被探索。现有基准测试通常涉及相对简单的任务,依赖语义近似或粗略的相对位置,而其评估指标通常有限,缺乏严谨的数学公式。为弥合这一差距,我们引入TangramPuzzle,一个以几何为基础的基准测试,通过经典Tangram游戏的视角评估组合空间推理。我们提出Tangram Construction Expression(TCE),一个符号几何框架,将Tangram组装 grounded 在精确、可由机器验证的坐标规范中,以缓解视觉近似的模糊性。我们设计了两个互补的任务:轮廓预测,要求从局部组件推断出整体形状,以及端到端代码生成,要求解决逆向几何组装问题。我们对先进的开源和专有模型进行了广泛的评估实验,揭示了一个有趣的见解:MLLMs倾向于优先匹配目标轮廓,而忽视几何约束,导致碎片的扭曲或变形。

英文摘要:

Multimodal Large Language Models (MLLMs) have achieved remarkable progress in visual recognition and semantic understanding, yet precise compositional spatial reasoning under geometric constraints remains underexplored. Existing benchmarks mainly assess coarse spatial relations and rarely support rigorous geometric verification or multiple valid solutions in constructive tasks. To address these limitations, we introduce TangramPuzzle, a benchmark comprising 668 validated configurations and 1,336 instances for evaluating compositional spatial reasoning under geometric constraints. We formulate the Tangram Construction Expression (TCE) to encode tangram configurations with machine-verifiable geometric specifications, together with a multi-solution-aware verifier that separately evaluates geometric validity and silhouette fidelity. TangramPuzzle covers two complementary evaluation tasks: part-to-whole Outline Prediction and whole-to-part End-to-End Assembly Generation. We conduct extensive evaluation experiments on advanced open-source and proprietary models, revealing an interesting insight: MLLMs tend to prioritize matching the target silhouette while neglecting geometric constraints, leading to distortions or deformations of the pieces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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