Parameter-efficient fine-tuning (PEFT) methods such as LoRA adapt large language models by inserting low-rank adapters, but they leave open two key questions: how to give the adapted model calibrated uncertainty, and how to choose the adapter rank. Existing approaches to uncertainty are typically post-hoc, while rank selection is manual and task-specific. BayesLoRA revisits variational dropout in the LoRA setting and shows that the natural unit of stochasticity is not individual weights but entire ranks of the adapter. By placing rank-wise variational distributions over adapter components, BayesLoRA defines a posterior that (i) yields calibrated predictions through adapter-only Monte Carlo sampling and (ii) prunes redundant ranks automatically via an ARD-style KL term. Theoretical analysis shows that this rank-parameterized posterior localizes uncertainty to the adapted subspace and explains amplification under distribution shift. Empirically, BayesLoRA improves calibration while at the same time producing lighter, faster adapters, removing the need to tune ranks by hand. This dual role of uncertainty estimation and uncertainty-driven pruning suggests BayesLoRA may offer a practical default for reliable and efficient PEFT.
Casey Doyle (Sat,) studied this question.