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What Makes a Maze Look Like a Maze?
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Proposes Deep Schema Grounding (DSG), an inference-only framework where an LLM extracts DAG schemas of abstract concepts and a VLM hierarchically grounds them on images to augment VQA, and introduces the 540-question Visual Abstractions Benchmark.
Problem
Vision-language models default to literal object interpretations and struggle to reason about visual abstractions (e.g., a maze built from tree branches) that are defined by lifted rules rather than concrete visual features.
Approach
Represent abstract concepts as schemas (dependency DAGs of primitive sub-concepts) generated by an LLM, hierarchically ground each schema component onto the image with a VLM, and feed the resolved schema back as context for question answering; the method is inference-only and model-agnostic.
Key results
- DSG with GPT-4o reaches 0.730 overall exact-match accuracy vs 0.664 for GPT-4o on VAB (+6.6 points).
- DSG improves counting questions by about 10 points (0.704 vs 0.604) for GPT-4o.
- DSG with LLaVA improves overall accuracy from 0.415 to 0.444.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add hierarchical schema extraction, grounding, and schema context | GPT-4o · VAB | accuracy: 0.664 -> 0.730 | Helped |
| add hierarchical schema extraction, grounding, and schema context | GPT-4o · VAB Counting | accuracy: 0.604 -> 0.704 | Helped |
| add hierarchical schema extraction, grounding, and schema context | GPT-4o · VAB Strategic | accuracy: 0.653 ± 0.052 -> 0.751 | Helped |
| add hierarchical schema extraction, grounding, and schema context | GPT-4o · VAB Social | accuracy: 0.647 ± 0.163 -> 0.723 | Helped |
| add schema-guided grounding and QA context | LLaVA · VAB All | accuracy: 0.415 -> 0.444 | Helped |
| add schema-guided grounding and QA context | LLaVA · VAB Counting | accuracy: 0.344 -> 0.344 | No clear effect |
| add explicit grounding steps and multi-round execution (ablation) | GPT-4o with single-round schema components · VAB All | accuracy: 0.667 -> 0.730 | Helped |
| add hierarchical schema structure to single-round schema components (ablation) | GPT-4o · VAB All | accuracy: 0.667 -> 0.681 | Helped |
| add explicit hierarchical grounding instead of sequential grounding (ablation) | DSG · VAB All | accuracy: 0.693 -> 0.701 | Helped |
| add the full grounding history to final QA context (ablation) | DSG with hierarchical grounding · VAB All | accuracy: 0.701 -> 0.730 | Helped |
| use a 5-component rather than 3-component example schema prompt (ablation) | DSG · VAB All | accuracy: 0.730 -> 0.691 | Hurt |
| use a 7-component rather than 3-component example schema prompt (ablation) | DSG · VAB All | accuracy: 0.730 -> 0.685 | Hurt |
Surprising findings
- A language-only GPT-4o given the DSG grounded schema (no image) reaches 0.522, far above language-only baseline 0.397, showing the schema carries much of the signal.
- Generated schemas tend to be shorter than the number of components requested in the prompt, plateauing around 5-7 components.
Limitations
- VLMs struggle to ground spatially constrained schema components such as an unobstructed maze path.
- Schemas are unconstrained LLM outputs and may contain biases or ambiguous symbols.
- Benchmark is small (540 questions over 12 concepts) and the reported gains are on a single benchmark.
Experimental setup
Datasets: Visual Abstractions Benchmark
Benchmarks: Visual Abstractions Benchmark
Metrics: exact-match accuracy graded accuracy BERTScore LLM-based free-response accuracy
Baselines: ViperGPT VisProg LLaVA InstructBLIP GPT-4o GPT-4v Language-only GPT-4o
Builds on: ViperGPT VisProg chain-of-thought prompting theory-theory of concepts
Closest papers by meaning
- GroundingME: Exposing the Visual Grounding Gap in MLLMs through Multi-Dimensional Evaluation (CVPR 2026 · similarity 0.89)
- Visual Graph Arena: Evaluating Visual Conceptualization of Vision and Multimodal Large Language Models (ICML 2025 · similarity 0.89)
- Bongard in Wonderland: Visual Puzzles that Still Make AI Go Mad? (ICML 2025 · similarity 0.89)
- VGR: Visual Grounded Reasoning (ICLR 2026 · similarity 0.88)
- ARC Is a Vision Problem! (CVPR 2026 · similarity 0.88)
- CogFlow: Bridging Perception and Reasoning through Knowledge Internalization for Visual Mathematical Problem Solving (ICLR 2026 · similarity 0.88)
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