monjoychoudhury29/Visual-Math-Eval

Visual Equation Solving Benchmark

This repository contains the dataset introduced in the paper:

Can Vision-Language Models Solve Visual Math Equations? which is currently accepted in EMNLP 2025 (Main)

Despite strong performance in vision and language understanding, Vision-Language Models (VLMs) struggle on tasks requiring integrated perception and symbolic reasoning. This benchmark evaluates VLMs on visual equation solving, where systems of linear equations are represented using object icons as variables and icon repetition as coefficients.

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📖 Overview

The Visual Equation Solving Benchmark tests whether VLMs can:

1. Recognize variables represented as object icons.
2. Count coefficients by inferring from repeated instances of icons.
3. Integrate recognition with symbolic reasoning to solve equations.

We provide multiple settings:

• Symbolic equations (textual form, rendered as images).
• Visual-symbolic equations (icons for variables, numeric text for coefficients).
• Fully visual equations (both variables and coefficients represented visually).

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Example:

🍎🍎🍎 + 🍌🍌 = 10
🍎 + 🍌🍌🍌🍌🍌 = 15

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📂 Dataset Structure

There are 2 variants of the dataset based on number of variables used - 2 variables and 3 variables which can be found in the respective zip files. Once you extract any of them you will see the following tree -

├── char_only
│   └── metadata.csv
│   └── *.png
├── counting
│   └── metadata.csv
│   └── *.png
├── icon_only
│   └── metadata.csv
│   └── *.png
├── icon_partial
│   └── metadata.csv
│   └── *.png
└── [two/three]-vars.txt

The char_only, icon_only, icon_partial, counting points to the symbolic, visual, visual-symbolic and counting datasets mentioned in the paper respectively. Each of them consist of the following metadata -

1. file_path to corresponding image
2. solution to variable
3. mapping to symbolic variable (in case of visual, visual-symbolic, counting dataset)

The base equations which are used to create the same are attached in the respective .txt file in the root level directory.

📜 License

This dataset is released under the CC BY 4.0 License. You are free to share, adapt, and build upon the data with attribution.

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📚 Citation

If you use this dataset, please cite:

@inproceedings{anonymous2025vlm-math,
  title     = {Can Vision-Language Models Solve Visual Math Equations?},
  author    = {Anonymous},
  booktitle = {ACL (under review)},
  year      = {2025}
}