@article{nonconvergencetoglobalminimizersindata, title = {Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation}, author = {Thang Do and Sonja Hannibal and Arnulf Jentzen}, year = {2024}, eprint = {2410.10533}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2410.10533v2}, }