Correctness of automatic differentiation via diffeologies and categorical gluing

We present semantic correctness proofs of Automatic Differentiation (AD). We consider a forward-mode AD method on a higher order language with algebraic data types, and we characterise it as the unique structure preserving macro given a choice of derivatives for basic operations. We describe a rich...

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Détails bibliographiques
Auteurs principaux: Huot, M, Staton, S, Vákár, M
Format: Conference item
Langue:English
Publié: Springer 2020