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Artificial Neural Networks and Backpropagation

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Geometry of Deep Learning

Part of the book series: Mathematics in Industry ((MATHINDUSTRY,volume 37))

Abstract

Inspired by the biological neural network, here we discuss its mathematical abstraction known as the artificial neural network (ANN). Although efforts have been made to model all aspects of the biological neuron using a mathematical model, all of them may not be necessary: rather, there are some key aspects that should not be neglected when modeling a neuron. This includes the weight adaptation and the nonlinearity.

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Ye, J.C. (2022). Artificial Neural Networks and Backpropagation. In: Geometry of Deep Learning. Mathematics in Industry, vol 37. Springer, Singapore. https://doi.org/10.1007/978-981-16-6046-7_6

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