SSH: Sparse Spectrum Adaptation via Discrete Hartley Transformation
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Abstract (arXiv)
Low-rank adaptation (LoRA) has been demonstrated effective in reducing the trainable parameter number when fine-tuning a large foundation model (LLM). However, it still encounters computational and memory challenges when scaling to larger models or addressing more complex task adaptation. In this work, we introduce Sparse Spectrum Adaptation via Discrete Hartley Transformation (SSH), a novel approach that significantly reduces the number of trainable parameters while enhancing model performance. It selects the most informative spectral components across all layers, under the guidance of the initial weights after a discrete Hartley transformation (DHT). The lightweight inverse DHT then projects the spectrum back into the spatial domain for updates. Extensive experiments across both single-modality tasks such as language understanding and generation and multi-modality tasks such as video-text understanding demonstrate that SSH outperforms existing parameter-efficient fine-tuning (PEFT) methods while achieving substantial reductions in computational cost and memory requirements.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 37 of its 59 references that are in the map. First posted on arXiv 8 Feb 2025.
Builds on
37 of 59 references.
References · 37
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25 more
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Built on by
Citing papers per year: 2025: 3; 2026: 4.
7 papers.
- 2025DeepEyeNet: Generating Medical Report for Retinal Imagescited by 1
- 2025QWHA: Quantization-Aware Walsh-Hadamard Adaptation for Parameter-Efficient Fine-Tuning on Large Language Modelscited by 1
- 2026Spectral-Progressive Thought Flow for Lightweight Multimodal Reasoningcited by 1
- 2025MaCP: Minimal yet Mighty Adaptation via Hierarchical Cosine Projectioncited by 0
- 2026A Novel Automatic Framework for Speaker Drift Detection in Synthesized Speechcited by 0
- 2026Active Imitation Learning for Thermal- and Kernel-Aware LFM Inference on 3D S-NUCA Many-Corescited by 0
- 2026TCL: Enabling Fast and Efficient Cross-Hardware Tensor Program Optimization via Continual Learningcited by 0
- 2026Spectral-Progressive Thought Flow for Lightweight Multimodal Reasoning1 Jun 2026
- 2026TCL: Enabling Fast and Efficient Cross-Hardware Tensor Program Optimization via Continual Learning14 Apr 2026
- 2026Active Imitation Learning for Thermal- and Kernel-Aware LFM Inference on 3D S-NUCA Many-Cores13 Apr 2026
- 2026A Novel Automatic Framework for Speaker Drift Detection in Synthesized Speech7 Apr 2026
- 2025QWHA: Quantization-Aware Walsh-Hadamard Adaptation for Parameter-Efficient Fine-Tuning on Large Language Models22 Sep 2025
- 2025DeepEyeNet: Generating Medical Report for Retinal Images16 Sep 2025
- 2025MaCP: Minimal yet Mighty Adaptation via Hierarchical Cosine Projection29 May 2025