[2605.08110] BaLoRA: Bayesian Low-Rank Adaptation of Large Scale Models
[Submitted on 27 Apr 2026]
Title:BaLoRA: Bayesian Low-Rank Adaptation of Large Scale Models
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Abstract:Low-Rank Adaptation (LoRA) has become the standard for fine-tuning large pre-trained models at reduced computational cost. However, its low-rank point-estimate updates limit expressiveness, leave a persistent gap relative to full fine-tuning accuracy, and provide no built-in uncertainty quantification, limiting its applicability in settings where reliability matters as much as accuracy. We introduce BaLoRA, a Bayesian extension of LoRA with a novel input-adaptive Bayesian parameterization of LoRA matrices that adds minimal parameters and compute. Surprisingly, not only does the Bayesian extension yield well-calibrated uncertainty estimates, but the adaptive noise injection underlying our approach also significantly improves prediction accuracy, narrowing the gap with full fine-tuning across both natural language reasoning and vision tasks. When applied to band gap prediction in metal-organic frameworks, BaLoRA produces zero-shot test-time uncertainty estimates that correlate more strongly with model error than a trained ensemble of LoRA models, and improve monotonically with compute without sacrificing accuracy.
Subjects:
Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2605.08110 [cs.LG]
(or arXiv:2605.08110v1 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2605.08110
arXiv-issued DOI via DataCite
Submission history
From: Dario Coscia [view email] [v1] Mon, 27 Apr 2026 18:19:31 UTC (477 KB)
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