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README.md
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- **Global Abstract Integration:** Complex problems requiring global spatial synthesis, parameterization, or 3D reasoning.
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- **Six Subtypes:** Problems span six mathematical subfields: `Angle`, `Length`, `Area`, `Volume`, `Ratio`, and `Count`, supporting fine-grained diagnostics.
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## Benchmark Highlights
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- GeoGramBench differs from traditional math benchmarks by emphasizing the symbolic-to-spatial abstraction capabilities of LLMs, leveraging procedural code expressed in formats such as `Asymptote`.
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- Initial evaluation using 17 state-of-the-art LLMs revealed substantial gaps, particularly for higher abstraction tasks:
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- Models achieved less than **50%** accuracy on the most challenging **Global Abstract Integration** category.
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- Even advanced models struggle to bridge procedural code with reliable spatial reasoning.
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## Dataset Composition
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| Complexity Level | Problem Count | Example Tasks |
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|----------------------------|---------------|-----------------------------------|
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| **Primitive Recognition** | 102 | Compute the area of a triangle. |
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| **Local Relation Composition** | 279 | Solve for angles in composite diagrams. |
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| **Global Abstract Integration** | 119 | Analyze 3D projections and symmetry. |
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### Subtype Distribution Across Levels
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| Subtype | Primitive | Compositional | Abstract |
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|-----------|-----------|---------------|----------|
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| Angle | 22 | 20 | 7 |
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## Use Cases
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GeoGramBench is designed for:
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- Researchers developing **geometry-aware LLMs**
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- Model diagnostics to pinpoint weaknesses in handling code-driven geometric reasoning or abstract spatial relations.
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- Evaluation and advancement of LLMs' performance on tasks involving spatial reasoning.
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- **Global Abstract Integration:** Complex problems requiring global spatial synthesis, parameterization, or 3D reasoning.
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- **Six Subtypes:** Problems span six mathematical subfields: `Angle`, `Length`, `Area`, `Volume`, `Ratio`, and `Count`, supporting fine-grained diagnostics.
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## Dataset Composition
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| Subtype | Primitive | Compositional | Abstract |
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|-----------|-----------|---------------|----------|
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| Angle | 22 | 20 | 7 |
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| Count | 15 | 31 | 15 |
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| Volume | 0 | 0 | 27 |
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## Benchmark Highlights
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- GeoGramBench differs from traditional math benchmarks by emphasizing the symbolic-to-spatial abstraction capabilities of LLMs, leveraging procedural code expressed in formats such as `Asymptote`.
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- Initial evaluation using 17 state-of-the-art LLMs revealed substantial gaps, particularly for higher abstraction tasks:
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- Models achieved less than **50%** accuracy on the most challenging **Global Abstract Integration** category.
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- Even advanced models struggle to bridge procedural code with reliable spatial reasoning.
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| Model | Primitive | Compositional | Abstract | ALL |
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|-------|-----------|-----------|-----------|--------------|
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| <strong>Closed-source Models</strong> |
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| GPT-o3-mini | 84.33 | 75.66 | 42.16 | 70.00 |
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| GPT-o1 | <strong>86.76</strong> | <strong>76.02</strong> | <strong>43.35</strong> | <strong>70.92</strong> |
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| GPT-o1-preview | 74.79 | 55.98 | 26.20 | 53.15 |
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| GPT-o1-mini | 79.62 | 63.21 | 29.09 | 58.94 |
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| GPT-4o | 39.81 | 21.29 | 4.96 | 21.40 |
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| Gemini-Pro-1.5 | 49.26 | 31.79 | 15.92 | 31.64 |
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| <strong>Open-source Models</strong> |
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| Qwen3-235B-Thinking-2507| <strong>89.09</strong> | <strong>79.12</strong> | <strong>49.05</strong> | <strong>74.00</strong> |
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| DeepSeek-R1 | 85.66 | 75.27 | 40.38 | 69.17 |
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| DeepSeek-v3-0324 | 80.57 | 68.89 | 27.67 | 62.05 |
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| QwQ-32B | 85.17 | 73.12 | 37.92 | 67.20 |
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| DeepSeek-R1-Distill-Qwen-32B | 79.78 | 67.83 | 35.92 | 62.68 |
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| Bespoke-Stratos-32B | 62.50 | 42.56 | 17.02 | 40.55 |
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| s1.1-32B | 75.37 | 58.96 | 26.58 | 54.60 |
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| DeepSeek-R1-Distill-Qwen-7B | 72.79 | 58.74 | 24.16 | 53.38 |
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| Sky-T1-mini-7B | 71.45 | 57.75 | 24.79 | 52.70 |
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| DeepSeek-R1-Distill-Qwen-1.5B | 60.29 | 39.02 | 11.03 | 36.70 |
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| DeepScaleR-1.5B-preview | 65.44 | 47.89 | 15.76 | 43.83 |
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## Use Cases
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GeoGramBench is designed for:
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- Researchers developing **geometry-aware LLMs** for symbolic-to-spatial reasoning.
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- Model diagnostics to pinpoint weaknesses in handling code-driven geometric reasoning or abstract spatial relations.
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- Evaluation and advancement of LLMs' performance on tasks involving spatial reasoning.
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