@article{thelifecycleofthespectraledgefromgradien, title = {The Lifecycle of the Spectral Edge: From Gradient Learning to Weight-Decay Compression}, author = {Yongzhong Xu}, year = {2026}, eprint = {2604.07380}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2604.07380}, }