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In recent years deep artificial neural networks (DNNs) have been successfully employed in numerical simulations for a multitude of computational problems including, for example, object and face recognition, natural language processing, fraud detection, computational advertisement, and numerical approximations of partial differential equations (PDEs).
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Simonyan, K., and Zisserman, A · 2014
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Loss of regularity for Kolmogorov equations
Hairer, M., Hutzenthaler, M., and Jentzen, A · 2015
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