Fachbereich Mathematik und Informatik FB 10

Current Publications	• 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 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 • Riekert, Adrian Convergence rates for empirical measures of Markov chains in dual and Wasserstein distances. Statistics and Probability Letters Vol. 189, 2022 online • Ibragimov, Shokhrukh; Jentzen, Arnulf; Kröger, Timo; Riekert, Adrian On the existence of infinitely many realization functions of non-global local minima in the training of artificial neural networks with ReLU activation. , 2022 online • Eberle, Simon; Jentzen, Arnulf; Riekert, Adrian; Weiss, Georg Normalized gradient flow optimization in the training of ReLU artificial neural networks. , 2022 online • Ibragimov, S.; Jentzen, A.; Riekert, A. Convergence to good non-optimal critical points in the training of neural networks: Gradient descent optimization with one random initialization overcomes all bad non-global local minima with high probability. , 2022 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
E-Mail	ariekert at uni-muenster dot de
Phone	+49 251 83-35128
FAX	+49 251 83-32729
Room	120.003
Secretary	Sekretariat Claudia Giesbert Frau Claudia Giesbert Telefon +49 251 83-33792 Fax +49 251 83-32729 Zimmer 120.002
Address	Dr. 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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