114 lines
3.3 KiB
Markdown
114 lines
3.3 KiB
Markdown
# Minerva-Math
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## Overview
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Minerva-Math is a benchmark designed to evaluate advanced mathematical and quantitative reasoning capabilities of language models. It consists of 272 challenging problems sourced primarily from MIT OpenCourseWare courses, covering university and graduate-level STEM subjects.
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## Task Description
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- **Task Type**: Advanced STEM Problem Solving
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- **Input**: University/graduate-level mathematical or scientific problem
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- **Output**: Step-by-step solution with final answer
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- **Difficulty**: University to graduate level
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## Key Features
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- 272 challenging problems from MIT OpenCourseWare
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- Covers advanced subjects: solid-state chemistry, astronomy, differential equations, special relativity
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- University and graduate-level difficulty
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- Tests deep mathematical and scientific reasoning
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- Problems require multi-step quantitative reasoning
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## Evaluation Notes
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- Default configuration uses **0-shot** evaluation
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- Answers should be formatted within `\boxed{}` for proper extraction
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- Uses LLM-as-judge for complex answer evaluation
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- Problems may require domain-specific knowledge (physics, chemistry, etc.)
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- Designed to test the upper limits of model reasoning capabilities
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## Properties
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| Property | Value |
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|----------|-------|
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| **Benchmark Name** | `minerva_math` |
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| **Dataset ID** | [knoveleng/Minerva-Math](https://modelscope.cn/datasets/knoveleng/Minerva-Math/summary) |
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| **Paper** | N/A |
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| **Tags** | `Math`, `Reasoning` |
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| **Metrics** | `acc` |
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| **Default Shots** | 0-shot |
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| **Evaluation Split** | `train` |
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## Data Statistics
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| Metric | Value |
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|--------|-------|
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| Total Samples | 272 |
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| Prompt Length (Mean) | 492.27 chars |
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| Prompt Length (Min/Max) | 129 / 1069 chars |
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## Sample Example
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**Subset**: `default`
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```json
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{
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"input": [
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{
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"id": "715a0fa1",
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"content": "Each of the two Magellan telescopes has a diameter of $6.5 \\mathrm{~m}$. In one configuration the effective focal length is $72 \\mathrm{~m}$. Find the diameter of the image of a planet (in $\\mathrm{cm}$ ) at this focus if the angular diameter of the planet at the time of the observation is $45^{\\prime \\prime}$.\nPlease reason step by step, and put your final answer within \\boxed{}."
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}
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],
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"target": "Start with:\n\\[\ns=\\alpha f \\text {, }\n\\]\nwhere $s$ is the diameter of the image, $f$ the focal length, and $\\alpha$ the angular diameter of the planet. For the values given in the problem:\n\\[\ns=\\frac{45}{3600} \\frac{\\pi}{180} 7200=\\boxed{1.6} \\mathrm{~cm}\n\\]",
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"id": 0,
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"group_id": 0,
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"metadata": {
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"type": "Introduction to Astronomy (8.282J Spring 2006)",
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"idx": 0
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}
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}
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```
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## Prompt Template
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**Prompt Template:**
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```text
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{question}
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Please reason step by step, and put your final answer within \boxed{{}}.
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```
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## Usage
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### Using CLI
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```bash
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evalscope eval \
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--model YOUR_MODEL \
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--api-url OPENAI_API_COMPAT_URL \
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--api-key EMPTY_TOKEN \
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--datasets minerva_math \
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--limit 10 # Remove this line for formal evaluation
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```
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### Using Python
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```python
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from evalscope import run_task
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from evalscope.config import TaskConfig
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task_cfg = TaskConfig(
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model='YOUR_MODEL',
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api_url='OPENAI_API_COMPAT_URL',
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api_key='EMPTY_TOKEN',
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datasets=['minerva_math'],
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limit=10, # Remove this line for formal evaluation
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)
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run_task(task_cfg=task_cfg)
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```
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