arXiv:2509.19122cs.LGcs.AI2025-09

通过分布与聚类分析,揭示大模型权重的差异与共性。

Analysis on distribution and clustering of weight

  • 用标准差向量和聚类向量刻画权重分布与关联特征。
  • 不同模型间权重分布差异明显,同家族模型高度相似。
  • 数据微调影响分布,但权重间关联结构保持稳定。

大型语言模型的架构与参数特性研究持续热门。本文聚焦于权重特征,用于分析模型间的相关性与差异性。提出两种向量:标准差向量与聚类向量。前者假设权重服从正态分布,将投影矩阵的标准差归一化形成标准差向量,反映模型的分布特征;后者从每个权重投影矩阵中提取奇异值,并使用K-Means算法分组,将同类矩阵的数据合并为聚类向量,表示权重间的关联特征。研究表明,这两类向量能有效区分不同模型,并清晰展现同家族模型间的相似性。此外,在对不同数据集和模型进行LoRA微调后发现,标准差向量所表征的权重分布受数据集直接影响,而聚类向量所体现的权重间相关性不受影响,与预训练模型保持高度一致。

原文摘要 · Abstract (English)

The study on architecture and parameter characteristics remains the hot topic in the research of large language models. In this paper we concern with the characteristics of weight which are used to analyze the correlations and differences between models. Two kinds of vectors-standard deviation vector and clustering vector-are proposed to describe features of models. In the first case, the weights are assumed to follow normal distribution. The standard deviation values of projection matrices are normalized to form Standard-Deviation Vector, representing the distribution characteristics of models. In the second case, the singular values from each weight projection matrix are extracted and grouped by K-Means algorithm. The grouped data with the same type matrix are combined as Clustering Vector to represent the correlation characteristics of models' weights. The study reveals that these two vectors can effectively distinguish between different models and clearly show the similarities among models of the same family. Moreover, after conducting LoRA fine-tuning with different datasets and models, it is found that the distribution of weights represented by standard deviation vector is directly influenced by the dataset, but the correlations between different weights represented by clustering vector remain unaffected and maintain a high consistency with the pre-trained model.

权重分析聚类向量模型差异微调稳定性

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