Papers › The Willing Kingdon Clifford Algebra Library

The Willing Kingdon Clifford Algebra Library

13 Mar 2025arXiv:2503.10451links table onlyarchive 2025-07-28

Martin Roelfs

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Kingdon is an open-source Python package designed to seamlessly integrate Geometric Algebra (GA) into existing workflows. Unlike previous GA libraries, kingdon is input-type-agnostic, and hence supports GA's over e.g. PyTorch tensors, NumPy arrays, or SymPy symbolic expressions, to name but a few. Despite this refusal to specialize, it delivers high performance by symbolically optimizing operators and leveraging input sparsity for Just-In-Time compiled expressions. Additionally, its visualization capabilities in Jupyter notebooks using ganja align with the rapid prototyping workflow common to scientific research.

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