@article{hiddenboundarymotionintransformeroptimiz, title = {Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates}, author = {Zhang Gongyue and Sheng Yixuan and Liu donghan and Wang Zhiyong and Ren Weihong and Liu honghai}, year = {2026}, eprint = {2607.22927}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2607.22927}, }