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LQER: Low-Rank Quantization Error Reconstruction for LLMs

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arxiv 2402.02446 v3 pith:DPYMTRM2 submitted 2024-02-04 cs.LG cs.CL

classification cs.LGcs.CL
keywords quantizationlqerllmserrorlow-rankdistributiondownstreamneed
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Post-training quantization of Large Language Models (LLMs) is challenging. In this work, we introduce Low-rank Quantization Error Reduction (LQER), which combines quantization and low-rank approximation to recover the model capability. LQER leverages an activation-induced scale matrix to drive the singular value distribution of quantization error towards a desirable distribution, which enables nearly-lossless W4A8 quantization on various LLMs and downstream tasks without the need for knowledge distillation, grid search, or gradient-base iterative optimization. Unlike existing methods, the computation pattern of LQER eliminates the need for specialized Scatter and Gather processes to collect high-precision weights from irregular memory locations. Our W4A8 LLMs achieve near-lossless performance on six popular downstream tasks, while using 1.36$\times$ fewer hardware resources than the leading state-of-the-art method. We open-source our framework at https://github.com/ChengZhang-98/lqer

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Cited by 1 Pith paper

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  1. Dobi-SVD: Differentiable SVD for LLM Compression and Some New Perspectives

    cs.LG 2025-02 conditional novelty 6.0 of 10

    Dobi-SVD compresses LLMs via differentiable SVD rank selection, IPCA-based weight reconstruction, and quantized storage remapping, reporting competitive perplexity at 40% parameters.

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