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Mathematics and computation

Mathematics and computation

Neural networks, explained

09 Jul 2018
This article first appeared in the 2018 Physics World Focus on Computing

Wouldn’t it be wonderful if computers could figure out how to solve problems on their own, without precise instructions? Neural networks hold this promise, but scientists must use them with caution – or risk discovering that they have solved the wrong problem entirely, writes Janelle Shane

gravitational lenses
Generation game: Images of gravitational lenses generated by a convolutional neural network, to be used in training another neural network to identify new gravitational lenses. (From: Emergent Scientist 2 1, CC BY 4.0 J Pearson et al., published by EDP Sciences, 2018)
What are neural networks? Artificial neural networks are a form of machine-learning algorithm with a

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