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...

全面介紹

書目詳細資料
Main Authors: Huot, M, Staton, S, Vákár, M
格式: Conference item
語言:English
出版: Springer 2020