SVD-LLM V2: Optimizing Singular Value Truncation for Large Language Model Compression

Fuente: arXiv
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Hauptverfasser: Wang, Xin, Alam, Samiul, Wan, Zhongwei, Shen, Hui, Zhang, Mi
Format: Preprint
Veröffentlicht: 2025
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author Wang, Xin
Alam, Samiul
Wan, Zhongwei
Shen, Hui
Zhang, Mi
author_facet Wang, Xin
Alam, Samiul
Wan, Zhongwei
Shen, Hui
Zhang, Mi
contents Despite significant advancements, the practical deployment of Large Language Models (LLMs) is often hampered by their immense sizes, highlighting the need for effective compression techniques. Singular Value Decomposition (SVD) is a promising LLM compression technique. However, existing SVD-based compression methods fall short in reducing truncation losses, leading to less competitive performance in compressed models. In this work, we introduce SVD-LLM V2, a SVD-based LLM compression method that optimizes singular value truncation in SVD compression with two techniques. First, SVD-LLM V2 proposes to use theoretical truncation loss of weight matrices to assign a unique compression ratio to each weight matrix at different layers to accommodate weight redundancy heterogeneity. Second, SVD-LLM V2 proposes loss-optimized weight truncation to ensure that the truncated singular values result in a lower and more stable truncation loss in practice. We evaluate SVD-LLM V2 on ten datasets and five LLMs at various scales. Our results show SVD-LLM V2 outperforms state-of-the-art SVD-based LLM compression methods. Our code is available at https://github.com/AIoT-MLSys-Lab/SVD-LLM
format Preprint
id arxiv_https___arxiv_org_abs_2503_12340
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SVD-LLM V2: Optimizing Singular Value Truncation for Large Language Model Compression
Wang, Xin
Alam, Samiul
Wan, Zhongwei
Shen, Hui
Zhang, Mi
Computation and Language
Despite significant advancements, the practical deployment of Large Language Models (LLMs) is often hampered by their immense sizes, highlighting the need for effective compression techniques. Singular Value Decomposition (SVD) is a promising LLM compression technique. However, existing SVD-based compression methods fall short in reducing truncation losses, leading to less competitive performance in compressed models. In this work, we introduce SVD-LLM V2, a SVD-based LLM compression method that optimizes singular value truncation in SVD compression with two techniques. First, SVD-LLM V2 proposes to use theoretical truncation loss of weight matrices to assign a unique compression ratio to each weight matrix at different layers to accommodate weight redundancy heterogeneity. Second, SVD-LLM V2 proposes loss-optimized weight truncation to ensure that the truncated singular values result in a lower and more stable truncation loss in practice. We evaluate SVD-LLM V2 on ten datasets and five LLMs at various scales. Our results show SVD-LLM V2 outperforms state-of-the-art SVD-based LLM compression methods. Our code is available at https://github.com/AIoT-MLSys-Lab/SVD-LLM
title SVD-LLM V2: Optimizing Singular Value Truncation for Large Language Model Compression
topic Computation and Language
url https://arxiv.org/abs/2503.12340