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Approximation properties of Residual Neural Networks for Kolmogorov PDEs
In recent years residual neural networks (ResNets) as introduced by [He,...
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Weak error analysis for stochastic gradient descent optimization algorithms
Stochastic gradient descent (SGD) type optimization schemes are fundamen...
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Space-time deep neural network approximations for high-dimensional partial differential equations
It is one of the most challenging issues in applied mathematics to appro...
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