mlsanityData to 14 Oct 2026

VAMPS: Visual-Assisted Mathematical Problem Solving Benchmark

arXiv 2606.04244 ↗First posted 2 Jun 2026cs.AI cs.CL cs.CVcited by 1

On the map: Multimodal LLMs / vision-language models → VLM benchmarks and visual reasoning

Abstract (arXiv)

Multimodal large language models are increasingly capable of complex reasoning, yet their performance often degrades when they must externalize a problem through a tool and then reason over the tool's output, specifically when they rely on visual aids. This gap is especially important because real engineering and scientific workflows often rely on visualization tools for analysis, validation, and decision-making. To study this discrepancy, we introduce VAMPS (Visual-Assisted Mathematical Problem Solving), a benchmark for graph-assisted mathematics. VAMPS contains 1,168 multimodal, bilingual multiple-choice question-answer pairs drawn from Iranian University Entrance Exam algebra and calculus problems and expanded with human-reviewed LLM-generated synthetic variants, all selected so that plotting provides a natural solution strategy by revealing intersections, extrema, asymptotes, etc. Designed for both benchmarking and diagnosis, VAMPS goes beyond prior multimodal benchmarks that primarily evaluate reasoning over fixed visual inputs by testing whether a model can benefit from constructing a useful graph and grounding its answer in the resulting visualization. Overall, we found that across a diverse set of models, direct analytical solving surprisingly outperforms tool-enabled visual solving, even on problems where plotting is a natural strategy.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in VLM benchmarks and visual reasoning, one of 16 directions in Multimodal LLMs / vision-language models. Builds on 24 of its 46 references that are in the map. First posted on arXiv 2 Jun 2026.

Builds on

24 of 46 references.

Closest ancestors · 6

Same direction, newest first

  1. 2025Benchmarking Multimodal Mathematical Reasoning with Explicit Visual Dependency24 Apr
  2. 2025MV-MATH: Evaluating Multimodal Math Reasoning in Multi-Visual Contexts28 Feb
  3. 2025ReFocus: Visual Editing as a Chain of Thought for Structured Image Understanding9 Jan
  4. 2024Visual Sketchpad: Sketching as a Visual Chain of Thought for Multimodal Language Models13 Jun
  5. 2024MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems?21 Mar
  6. 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contexts3 Oct

Other references · 18

  1. 2022ReAct: Synergizing Reasoning and Acting in Language Modelscited by 8,695
  2. 2023Toolformer: Language Models Can Teach Themselves to Use Toolscited by 4,182
  3. 2022ChartQA: A Benchmark for Question Answering about Charts with Visual and Logical Reasoningcited by 1,479
  4. 2023AgentBench: Evaluating LLMs as Agentscited by 1,267
  5. 2023GAIA: a benchmark for General AI Assistantscited by 1,128
  6. 2022Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Taskscited by 1,076
  7. 2022PAL: Program-aided Language Modelscited by 652
  8. 2023API-Bank: A Comprehensive Benchmark for Tool-Augmented LLMscited by 591
  9. 2021Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoningcited by 383
  10. 2019PlotQA: Reasoning over Scientific Plotscited by 321
  11. 2017FigureQA: An Annotated Figure Dataset for Visual Reasoningcited by 319
  12. 2024ToolSandbox: A Stateful, Conversational, Interactive Evaluation Benchmark for LLM Tool Use Capabilitiescited by 295
6 more
  1. 2023ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solvingcited by 282
  2. 2025Seg-Zero: Reasoning-Chain Guided Segmentation via Cognitive Reinforcementcited by 239
  3. 2021GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoningcited by 228
  4. 2022UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expressioncited by 137
  5. 2025Towards Robust Mathematical Reasoningcited by 73
  6. 2024GRAB: A Challenging GRaph Analysis Benchmark for Large Multimodal Modelscited by 3

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 1.

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  1. 2025CodePlot-CoT: Mathematical Visual Reasoning by Thinking with Code-Driven Images
  2. 2026MathNet: a Global Multimodal Benchmark for Mathematical Reasoning and Retrieval
  3. 2024DynaMath: A Dynamic Visual Benchmark for Evaluating Mathematical Reasoning Robustness of Vision Language Models
  4. 2025Evaluating Visual Mathematics in Multimodal LLMs: A Multilingual Benchmark Based on the Kangaroo Tests
  5. 2024MathScape: Benchmarking Multimodal Large Language Models in Real-World Mathematical Contexts
  6. 2026M3Kang: Evaluating Multilingual Multimodal Mathematical Reasoning in Vision-Language Models
  7. 2025MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problems
  8. 2026Sci-Rho: A Multilingual Visually-Grounded Symbolic Benchmark for STEM Problems