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...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Huot, M, Staton, S, Vákár, M
Aineistotyyppi: Conference item
Kieli:English
Julkaistu: Springer 2020