@article{designcriteriaforsgdpreconditionerslocal, title = {Design Criteria for SGD Preconditioners: Local Conditioning, Noise Floors, and Basin Stability}, author = {Mitchell Scott and Tianshi Xu and Ziyuan Tang and Alexandra Pichette-Emmons and Qiang Ye and Yousef Saad and Yuanzhe Xi}, year = {2025}, eprint = {2511.19716}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2511.19716}, }