@article{rodearadialorthogonaldecoupledengineforo, title = {RODE: A Radial-Orthogonal Decoupled Engine for Optimization}, author = {Guoxiang Xu and Bince Qu and Qi Sun and Cheng Zhuo}, year = {2026}, eprint = {2608.21024}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2608.21024}, }