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Compressing What Matters: Neuron Importance Meets Data-Aware Low Rank Approximation for Language Model Compression

This paper introduces a novel LLM compression method that combines neuron importance with data-aware low-rank approximation, along with an efficient dynamic compression rate allocation algorithm. The approach outperforms existing methods, especially at high compression ratios.

SourcearXiv Machine LearningAuthor: Athanasios Ntovas, Alexandros Doumanoglou, Petros Drakoulis, Dimitris Zarpalas

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[Submitted on 30 Jun 2026]

Title:Compressing What Matters: Neuron Importance Meets Data-Aware Low Rank Approximation for Language Model Compression

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Abstract:To excel at their domain large language models are comprised of billions of parameters. Yet this comes at the cost of huge memory requirements restricting their applicability in resource-constrained environments. To address the problem of neural network (NN) compression Singular Value Decomposition (SVD) has played a key role as a fundamental component for matrix compression through decomposition. To minimize compression error and to maximize the efficacy of the compressed model on the downstream tasks previous works focused on low-rank approximation of the NN's weight matrices either from the perspective of parameter importance or per-layer functional equivalence. While previous works studied the aforementioned perspectives in isolation in this work we are investigating the effectiveness of an approach that combines ideas from these two perspectives in a single objective. In parallel to this an important aspect that affects the compression quality is the distribution of the compression rate across layers and NN parameters. Earlier works mostly considered distributing the compression rate uniformly across layers and network weights or relied on computationally expensive heuristic search. Contrary to them in this work we propose an enhanced and computationally efficient algorithm for dynamic compression rate allocation. Experimental results support the efficacy of the proposed approach which performs on par or substantially better than the previous state-of-the-art especially under high compression ratios.

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

Cite as: arXiv:2607.18284 [cs.LG]

(or arXiv:2607.18284v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.18284

arXiv-issued DOI via DataCite

Journal reference: EEE Access, vol. 14, pp. 6106-6120, 2026

Related DOI:

https://doi.org/10.1109/ACCESS.2026.3653132

DOI(s) linking to related resources

Submission history

From: Dimitrios Zarpalas [view email] [v1] Tue, 30 Jun 2026 09:16:00 UTC (2,999 KB)

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