mlsanityData to 13 Oct 2026

High-Rank Structured Modulation for Parameter-Efficient Fine-Tuning

arXiv 2601.07507 ↗First posted 12 Jan 2026cs.CLcited by 2

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Abstract (arXiv)

As the number of model parameters increases, parameter-efficient fine-tuning (PEFT) has become the go-to choice for tailoring pre-trained large language models. Low-rank Adaptation (LoRA) uses a low-rank update method to simulate full parameter fine-tuning, which is widely used to reduce resource requirements. However, decreasing the rank encounters challenges with limited representational capacity when compared to full parameter fine-tuning. We present SMoA, a high-rank Structured MOdulation Adapter that uses fewer trainable parameters while maintaining a higher rank, thereby improving the model's representational capacity and offering improved performance potential. The core idea is to freeze the original pretrained weights and selectively amplify or suppress important features of the original weights across multiple subspaces. The subspace mechanism provides an efficient way to increase the capacity and complexity of a model. We conduct both theoretical analyses and empirical studies on various tasks. Experiment results show that SMoA outperforms LoRA and its variants on 10 tasks, with extensive ablation studies validating its effectiveness.

Key facts. Cited by 2 papers in the map (data through 13 Oct 2026). Builds on 18 of its 25 references that are in the map. First posted on arXiv 12 Jan 2026.

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18 of 25 references.

References · 18

  1. 2023GPT-4 Technical Reportcited by 18,278
  2. 2024The Llama 3 Herd of Modelscited by 14,486
  3. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,072
  4. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,979
  5. 2021Training Verifiers to Solve Math Word Problemscited by 9,916
  6. 2019BERTScore: Evaluating Text Generation with BERTcited by 5,480
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  8. 2022OPT: Open Pre-trained Transformer Language Modelscited by 3,500
  9. 2021P-Tuning v2: Prompt Tuning Can Be Comparable to Fine-tuning Universally Across Scales and Taskscited by 687
  10. 2024Parameter-Efficient Fine-Tuning for Large Models: A Comprehensive Surveycited by 652
  11. 2017Learning multiple visual domains with residual adapterscited by 554
  12. 2024LoRA+: Efficient Low Rank Adaptation of Large Modelscited by 369
6 more
  1. 2023VeRA: Vector-based Random Matrix Adaptationcited by 297
  2. 2023ReLoRA: High-Rank Training Through Low-Rank Updatescited by 200
  3. 2019The Second Conversational Intelligence Challenge (ConvAI2)cited by 179
  4. 2024Chain of LoRA: Efficient Fine-tuning of Language Models via Residual Learningcited by 81
  5. 2023Batched Low-Rank Adaptation of Foundation Modelscited by 32
  6. 2025Look Within or Look Beyond? A Theoretical Comparison Between Parameter-Efficient and Full Fine-Tuningcited by 3

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2 papers.