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...
Main Authors: | , , |
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Format: | Conference item |
Language: | English |
Published: |
Springer
2020
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