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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...
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| Udgivet i: | Foundations of Software Science and Computation Structures |
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| Main Authors: | , , |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
2020
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.gov/pmc/articles/PMC7788619/ https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/978-3-030-45231-5_17 |
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