@misc{hagele2026improving, title={Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors}, author={H\"agele, Alexander and Hern{\'a}ndez-Cano, Alejandro and Kosson, Atli and Jaggi, Martin}, year={2026}, eprint={2606.25971}, archivePrefix={arXiv}, primaryClass={cs.LG}, url={https://arxiv.org/abs/2606.25971} }