@article{understandingthelearningdynamicsofloraa, title = {Understanding the Learning Dynamics of LoRA: A Gradient Flow Perspective on Low-Rank Adaptation in Matrix Factorization}, author = {Ziqing Xu and Hancheng Min and Lachlan Ewen MacDonald and Jinqi Luo and Salma Tarmoun and Enrique Mallada and Rene Vidal}, year = {2025}, eprint = {2503.06982}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2503.06982v1}, }