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Paper · arXiv

Beyond Adjacent Layers: Graph-Guided Layer Fusion for Compressing Large Language Models

Existing depth-compression methods for large language models (LLMs) score layers individually or group only adjacent or contiguous layers, implicitly assuming that functional redundancy is local. We test this assumption by computing full pairwise Centered Kernel Alignment (CKA) similarity matrices for thirteen LLMs from six architecture families (1.6B-14B parameters). Non-adjacent layers have 3.6-15.9x more high-similarity pairs than adjacent ones, a structure that prior similarity-based layer merging has not systematically exploited. We propose Fusion via Community Mining (FCM), which builds the full L x L similarity graph, uses spectral community detection to find clusters of functional...

AuthorsMuhammad Usama, Yeoreum Jung
Primary categorycs.LG
Published10 October 2026
Last updated at source10 October 2026
cs.LG
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