Simultaneous LoRA gradient descent reaches ε-stationary points in O(ε^-4) full-gradient evaluations, and the new stochastic algorithms LoRA-NSGDM and LoRA-STORM achieve O(ε^-8) and O(ε^-6) oracle complexity.
URL https://proceedings.neurips.cc/paper_files/paper/2024/ha sh/62c4718cc334f6a0a62fb81c4a2095a1-Abstract-Conference.html
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On the Convergence of Stochastic Low-Rank Adaptation
Simultaneous LoRA gradient descent reaches ε-stationary points in O(ε^-4) full-gradient evaluations, and the new stochastic algorithms LoRA-NSGDM and LoRA-STORM achieve O(ε^-8) and O(ε^-6) oracle complexity.