Math Papers with Code

A collection of implementations of mathematical algorithms and concepts from various academic papers in multiple programming languages.

Implemented Papers

Current Implementations

Implementation Status Legend

Coming Soon

Future papers will be added to this collection. Suggestions for new implementations are welcome through issues or pull requests.

Repository Structure

Each paper implementation is organized in its own directory with its implementation:

.
├── README.md
├── papers/
│   ├── iterated-sumsets/
│   │   ├── README.md
│   │   └── python/
│   │       ├── iterated_sumsets.py
│   │       └── tests/
│   ├── super-mumford/
│   │   ├── README.md
│   │   └── python/
│   │       ├── core/
│   │       │   ├── __init__.py
│   │       │   ├── laurent_series.py
│   │       │   ├── matrix_ops.py
│   │       │   └── vector_spaces.py
│   │       ├── geometry/
│   │       │   ├── __init__.py
│   │       │   ├── grassmannian.py
│   │       │   └── line_bundles.py
│   │       ├── groups/
│   │       │   ├── __init__.py
│   │       │   ├── heisenberg.py
│   │       │   ├── neveu_schwarz.py
│   │       │   └── witt.py
│   │       ├── tests/
│   │       │   ├── __init__.py
│   │       │   ├── test_laurent_series.py
│   │       │   ├── test_matrix_ops.py
│   │       │   └── test_vector_spaces.py
│   │       ├── utils/
│   │       │   ├── __init__.py
│   │       │   └── validation.py
│   │       ├── README.md
│   │       └── pyproject.toml
│   └── future-papers/
│       ├── README.md
│       └── python/
└── common/
    ├── testing/
    └── benchmarks/

Using the Implementations

Each paper implementation includes its own README with specific instructions. For Python implementations:

# Example for Super Mumford project
cd papers/super-mumford/python
pip install -r requirements.txt
python -m pytest tests/

Contributing

Contributions are welcome! To contribute:

1. Select a mathematics paper to implement
2. Create a new directory under papers/
3. Implement the paper's concepts
4. Include:
   • README.md with paper details
   • Source code
   • Tests (if applicable)
   • Docker support (if applicable)
   • Documentation (if applicable)
   • Performance benchmarks (optional)

Please see CONTRIBUTING.md for detailed guidelines.

Paper Implementation Guidelines

Each paper implementation should:

1. Documentation

   • Include link to original paper
   • Explain key concepts
   • Provide usage examples
   • Document any assumptions or limitations

2. Code Structure

   • Clear organization
   • Well-commented code
   • Tests
   • Docker support (where applicable)

3. Performance

   • Efficient implementations
   • Benchmarking (optional)
   • Optimization notes

License

This project is licensed under the MIT License - see the LICENSE file for details.

Acknowledgments

• All original paper authors
• Contributors to the implementations
• Open source community