Efficient Dual-Numbers Reverse AD via Well-Known Program Transformations

Where dual-numbers forward-mode automatic differentiation (AD) pairs each scalar value with its tangent value, dual-numbers reverse-mode AD attempts to achieve reverse AD using a similarly simple idea: by pairing each scalar value with a backpropagator function. Its correctness and efficiency on hig...

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Bibliographic Details

Published in:	Proceedings of ACM on programming languages Vol. 7; no. POPL; pp. 1573 - 1600
Main Authors:	Smeding, Tom J., Vákár, Matthijs I. L.
Format:	Journal Article
Language:	English
Published:	New York, NY, USA ACM 09.01.2023
Subjects:	Automatic differentiation Correctness Functional languages Mathematics of computing Software and its engineering functional programming automatic differentiation source transformation
ISSN:	2475-1421, 2475-1421
Online Access:	Get full text
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