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Benchmarking Multimodal Mathematical Reasoning with Explicit Visual Dependency
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Introduces VCBench, a 1,720-question multi-image benchmark of grade 1-6 elementary math visual reasoning problems, and evaluates 26 LVLMs in multi-image and single-image settings, finding the best models stay below 50% accuracy versus 93.3% for humans.
Problem
Existing visual math benchmarks are knowledge-centric and do not isolate core vision-centric reasoning over multiple images, such as temporal, spatial, geometric, logical, and pattern reasoning with explicit visual dependencies.
Approach
A vision-centric, multi-image, multiple-choice benchmark built from Chinese elementary math textbooks (grades 1-6) that requires integrating 2 to 18 images per question, with a single-image layout control to test cross-image integration.
Key results
- Human average accuracy is 93.30% versus 29.83% for random guessing; best LVLMs remain below 50% (Qwen2.5-VL-72B-Instruct 48.08%, LLaVA-OneVision-72B 47.67%).
- Most models score higher in single-image layout than multi-image (average improvement +42.3%), e.g. Qwen-VL-Max +21.3%, Emu2-Chat +281.5%.
- CoT gives mixed effects: Qwen-VL-Max rises from 47.03 to 49.48 average and GPT-4o from 40.29 to 42.03.
Surprising findings
- Specialized multi-image model LLaVA-Interleave-7B performs better in multi-image than single-image setting (-17.6%).
- Questions annotated as hard yield higher accuracy than easy and medium questions for most models.
Limitations
- Multiple-choice format may not reflect free-form answering.
- Source limited to Chinese elementary textbooks translated into English via LLMs.
- Error analysis performed manually on only four models.
Experimental setup
Benchmarks: VCBench
Metrics: accuracy
Baselines: GPT-4o GPT-4o-mini Claude-3.7-Sonnet Gemini2.0-Flash Qwen-VL-Max Qwen2.5-VL-72B-Instruct LLaVA-OneVision-72B QVQ-72B-Preview InternVL2.5-78B Random Guess
Builds on: Chain-of-thought prompting MathVista MathVision
Closest papers by meaning
- MV-MATH: Evaluating Multimodal Math Reasoning in Multi-Visual Contexts (CVPR 2025 · similarity 0.94)
- Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset (NeurIPS 2024 · similarity 0.92)
- DynaMath: A Dynamic Visual Benchmark for Evaluating Mathematical Reasoning Robustness of Vision Language Models (ICLR 2025 · similarity 0.92)
- RBench-V: A Primary Assessment for Visual Reasoning Models with Multimodal Outputs (NeurIPS 2025 · similarity 0.92)
- VisioMath: Benchmarking Figure-based Mathematical Reasoning in LMMs (ICLR 2026 · similarity 0.91)
- MathSE: Improving Multimodal Mathematical Reasoning via Self-Evolving Iterative Reflection and Reward-Guided Fine-Tuning (AAAI 2026 · similarity 0.91)
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