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Phil. Trans. R. Soc. A379, 20200089. (Published online 15 February 2021). (doi:10.1098/rsta.2020.0089) In this article, there was an error in equation 2.5, as the logarithm should have been multiplied by −2, not −1. This has now been corrected.
1. Introduction Machine learning (ML) has made rapid progress in diverse areas including the classification of images [1,2], translation between languages [3,4] and superseding human skill at the game of go (e.g. [5,6]). These applications can require neural networks with millions to billions of trainable parameters, large numbers of layers and specialized architectures, such as convolutional networks.
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