Fachbereich Mathematik und Informatik Angewandte Mathematik Münster

Current Publications	• Jentzen A, Riekert A Strong overall error analysis for the training of artificial neural networks via random initializations. Communications in Mathematics and Statistics Vol. 0, 2023 online • Jentzen A, Riekert A Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation. Journal of Mathematical Analysis and Applications Vol. 517 (2), 2023 online • Eberle S, Jentzen A, Riekert A, Weiss GS Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation. Electronic Research Archive Vol. 31 (5), 2023 online • Jentzen, A.; Riekert, A.; von Wurstemberger, P. Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations. , 2023 online • Eberle, Simon; Jentzen, Arnulf; Riekert, Adrian; Weiss, Georg S. Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation. Electronic Research Archive Vol. 31 (5), 2023 online • Jentzen A, Riekert A On the existence of global minima and convergence analyses for gradient descent methods in the training of deep neural networks. Journal of Machine Learning Vol. 1 (2), 2022 online • Jentzen, Arnulf; Riekert, Adrian A proof of convergence for the gradient descent optimization method with random initializations in the training of neural networks with ReLU activation for piecewise linear target functions. Journal of Machine Learning Research Vol. 23 (260), 2022 online • Jentzen, Arnulf; Riekert, Adrian A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions. Zeitschrift für Angewandte Mathematik und Physik Vol. 73 (5), 2022 online • Cheridito, Patrick; Jentzen, Arnulf; Riekert, Adrian; Rossmannek, Florian A proof of convergence for gradient descent in the training of artificial neural networks for constant target functions. Journal of Complexity Vol. 72, 2022 online
E-Mail	ariekert at uni-muenster dot de
Phone	+49 251 83-32079
FAX	+49 251 83-32729
Room	110.009
Secretary	Sekretariat Claudia Giesbert Frau Claudia Giesbert Telefon +49 251 83-33792 Fax +49 251 83-32729 Zimmer 120.002
Address	Herr Adrian Riekert Angewandte Mathematik Münster: Institut für Analysis und Numerik Fachbereich Mathematik und Informatik der Universität Münster Orléans-Ring 10 48149 Münster
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