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Beyond Single-Dimensional Compression: The Compound Sparsity Frontier of Large Language Models

The study proposes a compound sparsity framework combining static parameter pruning and dynamic token-level computation to delay performance degradation, outperforming single-mechanism compression under the same total sparsity.

SourcearXiv Machine LearningAuthor: Chao Han, Haozhe Hu, Xiaoyu Shen

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[Submitted on 29 Jun 2026]

Title:Beyond Single-Dimensional Compression: The Compound Sparsity Frontier of Large Language Models

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Abstract:Large language models (LLMs) are often compressed through static parameter pruning or dynamic token-level computation, yet aggressive sparsification can trigger rapid performance degradation beyond an essential sparsity boundary. This work asks \emph{whether combining these two mechanisms can delay such degradation by distributing the compression burden}. We study a minimalist compound sparsity framework that first applies low-rank approximation and channel pruning to obtain a statically compressed backbone, and then introduces lightweight routers for per-token dynamic layer skipping. This design enables independent control of parameter sparsity and token-level computation sparsity. Experiments across language understanding and modeling benchmarks show that compound sparsity consistently outperforms single-mechanism compression under the same total sparsity, delaying the decay point on understanding tasks and preserving stronger modeling performance. Further analysis reveals cross-dimensional interference between parameter pruning and token skipping, and shows that near-balanced allocation is most effective under a fixed sparsity budget. These results demonstrate that compound compression provides a practical way to improve LLM compression, while revealing a broader cross-dimensional sparsity boundary that ultimately limits further compression. Code will be available at this https URL.

Subjects:

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

Cite as: arXiv:2607.18280 [cs.LG]

(or arXiv:2607.18280v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.18280

arXiv-issued DOI via DataCite

Submission history

From: Chao Han [view email] [v1] Mon, 29 Jun 2026 01:33:30 UTC (104 KB)

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