Graded Automatic Differentiation

03/10/2020

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by   Keqin Liu, et al.

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Based on a class of associative algebras with zero-divisors which are called real-like algebras by us, we introduce the concept of the graded automatic differentiation induced a real-like algebra and present a new way of doing automatic differentiation to compute the first, the second and the third derivatives of a function exactly and simultaneously.