README.md

---
dataset_info:
  features:
  - name: sample_id
    dtype: int64
  - name: qnum
    dtype: int64
  - name: question_text
    dtype: string
  - name: question_image
    dtype: image
  - name: option_1_text
    dtype: string
  - name: option_1_image
    dtype: image
  - name: option_2_text
    dtype: string
  - name: option_2_image
    dtype: image
  - name: option_3_text
    dtype: string
  - name: option_3_image
    dtype: image
  - name: option_4_text
    dtype: string
  - name: option_4_image
    dtype: image
  - name: answer
    dtype: string
  - name: subset
    dtype: string
  - name: language
    dtype: string
  - name: source
    dtype: string
  splits:
  - name: Konkour_EN
    num_bytes: 838629
    num_examples: 218
  - name: Konkour_FA
    num_bytes: 983043
    num_examples: 218
  - name: Synth_EN
    num_bytes: 10581059
    num_examples: 366
  - name: Synth_FA
    num_bytes: 10591587
    num_examples: 366
  download_size: 22894723
  dataset_size: 22994318
configs:
- config_name: default
  data_files:
  - split: Konkour_EN
    path: data/Konkour_EN-*
  - split: Konkour_FA
    path: data/Konkour_FA-*
  - split: Synth_EN
    path: data/Synth_EN-*
  - split: Synth_FA
    path: data/Synth_FA-*
language:
- en
- fa
pretty_name: VAMPS
tags:
  - benchmark
  - multimodal
  - visual-reasoning
  - mathematical-reasoning
  - graph-reasoning
  - tool-use
  - desmos
  - multiple-choice
  - persian
  - english
task_categories:
  - question-answering
  - visual-question-answering
size_categories:
- 1K<n<10K
license: cc-by-nc-4.0
---
VAMPS: Visual-Assisted Mathematical Problem Solving Benchmark

[![Code](https://img.shields.io/badge/GitHub-VAMPSBenchmark%2FVAMPS-black)](https://github.com/vampsbenchmark/VAMPS)
[![License: CC BY-NC 4.0](https://img.shields.io/badge/License-CC--BY--NC--4.0-lightgrey.svg)](https://creativecommons.org/licenses/by-nc/4.0/)

**VAMPS** (**V**isual-**A**ssisted **M**athematical **P**roblem **S**olving) is a bilingual, multimodal benchmark for evaluating whether vision-language models can benefit from constructing and interpreting graphs while solving mathematical problems.

The benchmark targets a capability gap that is increasingly important for real scientific and engineering workflows: models may solve a problem analytically, but fail when they must externalize the problem through a visualization tool, inspect the resulting graph, and ground the final answer in visual evidence.

## Dataset Summary

VAMPS contains **1,168 multiple-choice QA instances** across English and Persian. The questions are drawn from Iranian University Entrance Exam (**Konkour**) algebra/calculus problems and expanded with human-reviewed LLM-generated synthetic variants. Each item is selected so that plotting can provide a natural solution strategy, for example through intersections, extrema, asymptotes, monotonicity, inverse functions, or graph ordering.

The dataset is designed for both **benchmarking** and **diagnosis**:

- **Benchmarking:** measure accuracy on graph-assisted mathematical multiple-choice questions.
- **Tool-use evaluation:** test whether a model can construct useful graphs with a plotting tool such as Desmos.
- **Visual grounding diagnosis:** compare direct analytical solving against tool-enabled visual solving.
- **Bilingual evaluation:** compare behavior across English and Persian versions of real and synthetic problems.
- 

## Dataset Structure

VAMPS is organized into four splits:

| Split | Language | Source | Rows |
|---|---:|---|---:|
| `Konkour_EN` | English | Original Konkour seed questions | 218 |
| `Konkour_FA` | Persian | Original Konkour seed questions | 218 |
| `Synth_EN` | English | Human-reviewed synthetic variants | 366 |
| `Synth_FA` | Persian | Human-reviewed synthetic variants | 366 |
| **Total** | English + Persian | Real + synthetic | **1,168** |

Each row is a multiple-choice problem with optional images for the question and/or answer options.


### Fields

| Field | Type | Description |
|---|---|---|
| `sample_id` | integer | Row-level sample identifier within the split. |
| `qnum` | integer | Question number / problem identifier. |
| `question_text` | string | Main problem statement. May contain LaTeX-style math. |
| `question_image` | image or null | Optional image associated with the problem statement. |
| `option_i_text` | string | Text for answer option i. Empty if the option is image-only. |
| `option_i_image` | image or null | Optional image for answer option i. |
| `answer` | string / integer | Correct answer label in `{1, 2, 3, 4}`. |
| `subset` | string | Split/subset name. |
| `language` | string | Language code: `en` or `fa`. |
| `source` | string | Source/provenance label, e.g. real Konkour or synthetic. |

## Data Creation and Motivation

The real seed questions come from Iranian University Entrance Exam algebra and calculus problems. The synthetic portion was generated to preserve graph-mediated mathematical structure while increasing coverage and diversity. Synthetic variants were human-reviewed before inclusion.

The benchmark emphasizes problems where a graph can naturally reveal relevant mathematical structure, such as:

- intersections of functions,
- extrema and turning points,
- monotonicity and concavity,
- asymptotic behavior,
- inverse functions,
- ordering or comparison of curves,
- discontinuities and piecewise behavior.

## Evaluation

The companion repository contains a minimal reproduction package for direct no-tool evaluation, Desmos-based tool-agent evaluation, etc.

## Links
- **Dataset:** [VAMPSBenchmark/VAMPS](https://huggingface.co/datasets/VAMPSBenchmark/VAMPS)
- **Code:** [VAMPSBenchmark/VAMPS](https://github.com/vampsbenchmark/VAMPS)

## Licensing

The dataset is released under **(CC BY-NC 4.0)** License.

VAMPS is intended for evaluation use only. It is **not** intended and shall **not** be used for training models, etc.