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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Huot, M, Staton, S, Vákár, M
التنسيق: Conference item
اللغة:English
منشور في: Springer 2020