@article{asymptoticriskofoverparameterized, title = {Asymptotic Risk of Overparameterized Likelihood Models: Double Descent Theory for Deep Neural Networks}, author = {Ryumei Nakada and Masaaki Imaizumi}, year = {2021}, eprint = {2103.00500}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2103.00500v2}, }