@article{loratrainingprovablyconvergestoalow, title = {LoRA Training Provably Converges to a Low-Rank Global Minimum or It Fails Loudly (But it Probably Won't Fail)}, author = {Junsu Kim and Jaeyeon Kim and Ernest K. Ryu}, year = {2025}, eprint = {2502.09376}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2502.09376v1}, }