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## Differentiation and Adjoints In this chapter, we describe efficient calculation of gradients for certain structured functions, particularly those that arise in the training of deep neural networks (DNNs). Such functions share some features with objective functions that arise in such applications as data assimilation and control, in both of which the optimization problem is integrated with a model of a dynamic process, one that evolves in time or proceeds by stages. In deep learning, the progressive transformation of each item of data as it moves through the layers of the network is akin to a dynamic process.

Publisher
Cambridge University Press
Published
2022
Language
EN

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