@article{convergenceguaranteesforrmspropandadam1, title = {Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance}, author = {Qi Zhang and Yi Zhou and Shaofeng Zou}, year = {2024}, eprint = {2404.01436}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2404.01436v3}, }