Compositionality and functorial invariants in machine learning

D Shiebler - 2023 - ora.ox.ac.uk
The objective of this thesis is to show that studying the underlying compositional and
functorial structure in machine learning systems allows us to better understand them. In …

Generalized optimization: A first step towards category theoretic learning theory

D Shiebler - Intelligent Computing & Optimization: Proceedings of …, 2022 - Springer
The Cartesian reverse derivative is a categorical generalization of reverse-mode automatic
differentiation. We use this operator to generalize several optimization algorithms, including …