@article{fromsgdtospectraatheoryofneuralnetworkwe, title = {From SGD to Spectra: A Theory of Neural Network Weight Dynamics}, author = {Brian Richard Olsen and Sam Fatehmanesh and Frank Xiao and Adarsh Kumarappan and Anirudh Gajula}, year = {2025}, eprint = {2507.12709}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2507.12709}, }