HPFRACC Documentation๏ƒ

Welcome to the HPFRACC (High-Performance Fractional Calculus) documentation!

What is HPFRACC?๏ƒ

HPFRACC is a cutting-edge Python library that provides high-performance implementations of fractional calculus operations with revolutionary intelligent backend selection, seamless machine learning integration, and state-of-the-art neural network architectures.

Current Status - PRODUCTION READY (v3.1.0)๏ƒ

  • Intelligent Backend Selection: Revolutionary automatic optimization (100% complete)

  • Spectral Autograd: Production-ready implementation with FFT/Mellin/Laplacian engines (100% complete)

  • Neural Fractional SDEs: Complete framework with adjoint training and stochastic sampling (100% complete)

  • Performance Benchmarking: Comprehensive benchmarks showing 10-100x speedups (100% complete)

  • Status: โœ… PRODUCTION READY FOR RESEARCH AND INDUSTRY

Getting Started๏ƒ

If you are new to HPFRACC, we recommend starting with the User Manual:

  • HPFRACC User Manual - Comprehensive guide covering everything from installation to advanced research.

Contributor-facing API layout (engines vs adapters, integrals, lazy hpfracc.core) is summarized in the repository CONTRIBUTING.md and reflected in API Reference.

API Reference๏ƒ

Deep dive into the technical details of every function and class:

  • API Reference - Sectional API documentation organized by functional area.

Practical Introduction Guide๏ƒ

For a comprehensive, printable book-style introduction to the library, we provide a rigorous LaTeX guide:

  • Source: docs/practical_guide/

  • Content: 31 pages covering foundations, ML, and scientific applications.

  • Usage: Compile using pdflatex to generate the full PDF manual.

Citation๏ƒ

If you use HPFRACC in your research, please cite:

@software{hpfracc2025,
  title={HPFRACC: High-Performance Fractional Calculus Library with Neural Fractional SDE Solvers},
  author={Chin, Davian R.},
  year={2025},
  version={3.1.0},
  doi={10.5281/zenodo.17476041},
  url={https://github.com/dave2k77/hpfracc},
  publisher={Zenodo},
  note={Department of Biomedical Engineering, University of Reading}
}

HPFRACC v3.1.0 | ยฉ 2025 Davian R. Chin

Documentation:

Deep Dives: