zonolayer 0.9.0

Last-layer uncertainty modeling via zonotopic representations.

Zonolayer

Matthew McCann
University of Strathclyde, 2025

Developed with guidance and support from Marco de Angelis, University of Strathclyde

Zonolayer is a Python package for last-layer uncertainty modeling via zonotopic representations.
It provides zonotopic output bounds and statistical prediction intervals for neural networks with interval-bounded outputs, enabling precise and interpretable uncertainty quantification in regression tasks.

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Features

• Compute zonotopic bounds for last-layer outputs.
• Combine statistical prediction intervals with interval uncertainty.
• Compatible with PyTorch networks exposing latent features.
• Modular, research-friendly, and easy to use.

By default, Zonolayer relies on NumPy for all numerical computations and interval handling.

If you require more advanced interval arithmetic (e.g., using pyinterval or other specialized packages), you can install the optional dependencies and modify the code accordingly, or submit a request for support to be added. I appreciate any and all feedback.

IPM support using the PyIPM library by J. Sadeghi

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Installation

Ensure all requirements from requirements.txt are installed to reduce any potential issues.

pip install zonolayer

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Getting Started

See the examples directory for working examples with different types of neural networks and data.

Example Plots

Zonolayer produces zonotopic bounds and statistical prediction intervals. Example outputs:

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License

MIT License

Copyright (c) Matthew McCann

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.