arXiv — Machine Learning · · 3 min read

Continual Fine-Tuning of Large Language Models via Program Memory

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Computer Science > Machine Learning

arXiv:2605.13162 (cs)
[Submitted on 13 May 2026]

Title:Continual Fine-Tuning of Large Language Models via Program Memory

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Abstract:Parameter-Efficient Fine-Tuning (PEFT), particularly Low-Rank Adaptation (LoRA), has become a standard approach for adapting Large Language Models (LLMs) under limited compute. However, in continual settings where models are updated sequentially with small datasets, conventional LoRA updates struggle to balance rapid adaptation and knowledge retention. Existing methods typically treat the low-rank space as a homogeneous update region, lacking mechanisms to regulate how short-term updates are consolidated over time. We propose a continual LoRA framework with \textbf{Pro}gram memory, inspired by \textbf{C}omplementary \textbf{L}earning Systems in neuroscience. Our approach, dubbed \textbf{ProCL}, organizes LoRA adapters into structured program memory slots that are dynamically retrieved through input-conditioned attention. This enables rapid and localized adaptation, encouraging similar inputs to reuse shared adapter regions while reserving unused capacity for future data. The slots are then combined with the underlying adapter, which maintains a distributed representation that gradually accumulates knowledge across tasks to balance plasticity and stability. Our method operates entirely within the LoRA parameterization and incurs no additional inference cost. Experiments on diverse benchmarks demonstrate improved retention and reduced catastrophic forgetting over other continual LoRA strategies.
Comments: 18 page, preprint
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2605.13162 [cs.LG]
  (or arXiv:2605.13162v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.13162
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Hung Le [view email]
[v1] Wed, 13 May 2026 08:26:37 UTC (155 KB)
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