arXiv — Machine Learning · · 3 min read

CSULoRA: Closest Safe Update Low-Rank Adaptation

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Computer Science > Machine Learning

arXiv:2605.30640 (cs)
[Submitted on 28 May 2026]

Title:CSULoRA: Closest Safe Update Low-Rank Adaptation

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Abstract:Low-rank adaptation has become a standard method for parameter-efficient fine-tuning of large language models, but even small amounts of unsafe or adversarial fine-tuning data can substantially weaken the safety behavior of aligned models. Existing safety-preserving LoRA methods often rely on hard interventions such as projection, pruning, thresholding, or additional training objectives. While these methods can suppress unsafe update directions, they may also remove task-relevant information or require extra tuning. We introduce CSULoRA, a post-hoc method for correcting trained LoRA adapters through closest safe update estimation. CSULoRA estimates a safety-aligned subspace from the weight displacement between a safety-aligned model and its corresponding base checkpoint. It then decomposes each LoRA update into fully aligned, partially aligned, and off-subspace components. Instead of discarding components outside the estimated safety subspace, CSULoRA solves a closed-form penalized minimum-change problem that preserves the fully aligned component while smoothly attenuating potentially unsafe directions according to their relative energy. In adversarial fine-tuning experiments, CSULoRA substantially reduces attack success rate while preserving most of the utility gains obtained from standard LoRA fine-tuning.
Comments: 10 pages, 3 figure
Subjects: Machine Learning (cs.LG); Computation and Language (cs.CL)
Cite as: arXiv:2605.30640 [cs.LG]
  (or arXiv:2605.30640v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.30640
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Adelaide Danilov [view email]
[v1] Thu, 28 May 2026 22:48:54 UTC (275 KB)
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