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...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Huot, M, Staton, S, Vákár, M
বিন্যাস: Conference item
ভাষা:English
প্রকাশিত: Springer 2020