@article{adaptivemethodsthroughthelensofsdes, title = {Adaptive Methods through the Lens of SDEs: Theoretical Insights on the Role of Noise}, author = {Enea Monzio Compagnoni and Tianlin Liu and Rustem Islamov and Frank Norbert Proske and Antonio Orvieto and Aurelien Lucchi}, year = {2024}, eprint = {2411.15958}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2411.15958v1}, }