Controlled Low-Rank Adaptation with Subspace Regularization for Continued Training on Large Language Models
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Abstract (arXiv)
Large language models (LLMs) exhibit remarkable capabilities in natural language processing but face catastrophic forgetting when learning new tasks, where adaptation to a new domain leads to a substantial decline in performance on previous tasks. In this paper, we propose Controlled LoRA (CLoRA), a sub-space regularization method on LoRA structure. Aiming to reduce the scale of output change while introduce minimal constraint on model capacity, CLoRA imposes constraint on the direction of updating matrix's null space. Experimental results on one-stage LLM finetuning tasks and continual learning settings highlight the superority of CLoRA as a effective parameter efficient finetuning method with catastrophic forgetting mitigating.Further investigation for model parameters indicates that CLoRA effectively balances the trade-off between model capacity and degree of forgetting.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 30 of its 48 references that are in the map. First posted on arXiv 22 Oct 2024.
Builds on
30 of 48 references.
References · 30
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18 more
- 2022Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Themcited by 1,807
- 2019ZeRO: Memory Optimizations Toward Training Trillion Parameter Modelscited by 1,301
- 2021Learning to Prompt for Continual Learningcited by 944
- 2013Exact solutions to the nonlinear dynamics of learning in deep linear neural networkscited by 763
- 2024DoRA: Weight-Decomposed Low-Rank Adaptationcited by 758
- 2024Parameter-Efficient Fine-Tuning for Large Models: A Comprehensive Surveycited by 656
- 2019Orthogonal Gradient Descent for Continual Learningcited by 369
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Built on by
Citing papers per year: 2025: 3; 2026: 6.
9 papers.
- 2025SEAT: Sparse Entity-Aware Tuning for Knowledge Adaptation while Preserving Epistemic Abstentioncited by 3
- 2025The Effectiveness of Approximate Regularized Replay for Efficient Supervised Fine-Tuning of Large Language Modelscited by 2
- 2026Principled Steering via Null-space Projection for Jailbreak Defense in Vision-Language Modelscited by 2
- 2025Patching LLM Like Software: A Lightweight Method for Improving Safety Policy in Large Language Modelscited by 1
- 2026Attribution-Guided Continual Learning for Large Language Modelscited by 1
- 2026Mask the Target: A Plug-and-Play Regularizer Against LoRA Forgettingcited by 1
- 2026Estimating and Orthogonalizing Unknown Pre-training Gradients for Continual Fine-tuning of Large Language Modelscited by 1
- 2026Learn Here, Move Less Elsewhere: Input-Conditioned Plasticity from Retained-Domain Activation Atlasescited by 0
- 2026A Dynamical Theory of LoRA in Continual Learningcited by 0
- 2026A Dynamical Theory of LoRA in Continual Learning30 Sep 2026
- 2026Learn Here, Move Less Elsewhere: Input-Conditioned Plasticity from Retained-Domain Activation Atlases28 Sep 2026
- 2026Estimating and Orthogonalizing Unknown Pre-training Gradients for Continual Fine-tuning of Large Language Models25 Sep 2026
- 2026Mask the Target: A Plug-and-Play Regularizer Against LoRA Forgetting28 May 2026
- 2026Attribution-Guided Continual Learning for Large Language Models6 May 2026
- 2026Principled Steering via Null-space Projection for Jailbreak Defense in Vision-Language Models23 Mar 2026
- 2025The Effectiveness of Approximate Regularized Replay for Efficient Supervised Fine-Tuning of Large Language Models26 Dec 2025
- 2025Patching LLM Like Software: A Lightweight Method for Improving Safety Policy in Large Language Models11 Nov 2025
- 2025SEAT: Sparse Entity-Aware Tuning for Knowledge Adaptation while Preserving Epistemic Abstention17 Jun 2025