CLFeb 20, 2025

Optimizing Singular Spectrum for Large Language Model Compression

arXiv:2502.15092v14 citationsh-index: 13
Originality Incremental advance
AI Analysis

This addresses deployment challenges for LLMs by improving compression efficiency, though it is an incremental advance over existing SVD-based methods.

The paper tackles the problem of compressing large language models (LLMs) by introducing SoCo, a framework that optimizes singular spectrum importance scores in a data-driven way, achieving state-of-the-art compression results across multiple models and benchmarks.

Large language models (LLMs) have demonstrated remarkable capabilities, yet prohibitive parameter complexity often hinders their deployment. Existing singular value decomposition (SVD) based compression methods simply deem singular values as importance scores of decomposed components. However, this importance ordered by singular values does not necessarily correlate with the performance of a downstream task. In this work, we introduce SoCo (Singular spectrum optimization for large language model Compression), a novel compression framework that learns to rescale the decomposed components of SVD in a data-driven manner. Concretely, we employ a learnable diagonal matrix to assign importance scores for singular spectrum and develop a three-stage training process that progressively refines these scores from initial coarse compression to fine-grained sparsification-thereby striking an effective balance between aggressive model compression and performance preservation. Thanks to the learnable singular spectrum, SoCo adaptively prunes components according to the sparsified importance scores, rather than relying on the fixed order of singular values. More importantly, the remaining components with amplified importance scores can compensate for the loss of the pruned ones. Experimental evaluations across multiple LLMs and benchmarks demonstrate that SoCo surpasses the state-of-the-art methods in model compression.

Foundations

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