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Data Efficient Adaptation in Large Language Models via Continuous Low-Rank Fine-Tuning

NeurIPS 2025 · Large language models › Instruction and fine-tuning · approach: Instruction data selection · 0 citations (OpenAlex)

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Proposes DEAL, a LoRA-based continual fine-tuning framework that uses a wavelet/heat-kernel knowledge retention module and a regularized MLP-based update module to learn sequential tasks with small data.

Problem

Continual fine-tuning of LLMs with LoRA suffers from catastrophic forgetting and poor data efficiency when adapting sequentially to new tasks with small datasets, with existing model-editing and adapter-stacking methods being costly or opaque.

Approach

Applies a heat-kernel wavelet filter over truncated-SVD-like singular structure of LoRA matrices A and B to retain core historical features, and an MLP with asymmetric regularization orders (a ≥ b) to control updates to LoRA matrices, with the updated matrices simply substituted back into LoRA so inference cost is unchanged.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DEAL instead of O-LoRAT5-Large continual learning · 4-Task (Standard)AA: 71.2 -> 78.5Helped
Use DEAL instead of O-LoRAT5-Large continual learning · 4-Task (Standard)R-1: 73.3 -> 82.5Helped
Jointly update Adapter A and Adapter B rather than updating one branch only (ablation)DEAL · continual learning, post-taskAA: 2.8–-5.4 percentage pointsHelped
Use Adapter A rather than Adapter B alone (ablation)DEAL · continual learningAAHelped
Increase LoRA rank from 4 to 8 (ablation)DEAL · 3-task benchmarkaccuracy: 71.5% to 84.3%Helped
Increase LoRA rank from 8 to 16 or 32 (ablation)DEAL · 3-task benchmarkaccuracy: 84.3% ... 84.5% at rank 16, 84.6% at rank 32No clear effect
Set regularization weights to (a=10, b=2) rather than (1,1) (ablation)DEAL · 4-task benchmarkAA: 74.8 -> 85.5Helped
Set regularization weights to (a=10, b=2) rather than (10,5) (ablation)DEAL · 4-task benchmarkAA: 84.1 -> 85.5Helped
Set regularization weights to (a=10, b=2) rather than (20,2) (ablation)DEAL · 4-task benchmarkAA: 82.7 -> 85.5Helped
Vary the task order across three permutations (ablation)DEAL · 4-task benchmarkAA: 73.1% to 75.6%No clear effect
Replace the heat kernel with f(x)=x e^{-x} (ablation)DEAL · 4-task benchmarkAA: 78.4 vs 78.5No clear effect
Replace the heat kernel with quadratic splines (ablation)DEAL · 4-task benchmarkAA: 78.3 vs 78.5No clear effect

Surprising findings

Limitations

Experimental setup

Datasets: AG News DBpedia Yahoo Answers Amazon Reviews MNLI QQP RTE SST-2 WiC CB COPA MultiRC

Benchmarks: AG News/DBpedia/Yahoo/Amazon continual benchmark (3-task TC) 4-task standard CL benchmark (O-LoRA setting) 15-task large-scale benchmark

Metrics: Average Accuracy (AA) ROUGE-1

Baselines: SeqLoRA O-LoRA PerTaskFT SeqSVD Replay EWC LwF L2P ProgPrompt LB-CL

Builds on: LoRA O-LoRA

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