PDE MODELS FOR DEEP NEURAL NETWORKS: LEARNING THEORY, CALCULUS OF VARIATIONS AND OPTIMAL CONTROL

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Markowich, Peter [1 ,2 ]
Portaro, Simone [1 ]
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[1] Mathematical and Computer Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal,23955-6900, Saudi Arabia
[2] Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, Vienna,1090, Austria
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Adaptive control systems - Choquet integral - Deep neural networks - Differentiation (calculus) - Feedback control - Gradient methods - Integral equations - Maximum principle - Multilayer neural networks - Optimal control systems - Ordinary differential equations - Partial differential equations - Variational techniques;
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