Bayesian Sparse Low-Rank Adaptation for Large Language Model Uncertainty Estimation

Jijie Zhang, Zhe Ren, Quan Zhang, Dandan Guo


Abstract
Large language models (LLMs) exhibit remarkable reasoning capabilities, but their task-specific fine-tuning is notoriously plagued by overconfidence, severely hindering trustworthy deployment. We propose Data-Adaptive Lower-Rank Adaptation (DALorRA), a simple and effective variational Bayesian sparse framework that shifts the paradigm of uncertainty quantification from the dense parameter space to the lightweight rank level of low-rank adaptation (LoRA). With the insight that LoRA essentially aggregates multiple rank-one components that may provide superfluous model capacity, DALorRA imposes stochastic masking on rank dimensions, enabling Bayesian regularization of model capacity during training and ensemble-like calibration during inference. Extensive experiments demonstrate DALorRA’s excellent calibration of LLMs without compromising reasoning accuracy.
Anthology ID:
2026.emnlp-main.328
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
7557–7573
Language:
URL:
https://aclanthology.org/2026.emnlp-main.328/
DOI:
Bibkey:
Cite (ACL):
Jijie Zhang, Zhe Ren, Quan Zhang, and Dandan Guo. 2026. Bayesian Sparse Low-Rank Adaptation for Large Language Model Uncertainty Estimation. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 7557–7573, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Bayesian Sparse Low-Rank Adaptation for Large Language Model Uncertainty Estimation (Zhang et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.328.pdf