arXiv:2512.15802stat.MEcs.LG2025-12

用多视角学习融合多种降维结果,得到更稳定可信的可视化。

Consensus dimension reduction via multi-view learning

  • 通过多视角学习提取不同降维方法的共性结构
  • 在模拟和真实数据上均有效保留共享低维结构
  • 对降维方法和超参数选择不敏感,适合可信数据分析

众多降维方法被用于将高维数据可视化到低维空间,但不同方法常产生不一致甚至冲突的可视化结果,且超参数选择会显著影响输出。为获得更稳健可靠的降维结果,本文提出共识降维方法:利用多视角学习识别多个降维结果(即视图)中最具稳定性或共享的模式,并将其整合为单一低维可视化。实验表明,该共识可视化能有效识别并保留数据的共享低维结构。此外,方法对降维方法和超参数的选择具有强鲁棒性,有助于实现可信赖、可复现的数据科学分析。

原文摘要 · Abstract (English)

A plethora of dimension reduction methods have been developed to visualize high-dimensional data in low dimensions. However, different dimension reduction methods often output different and possibly conflicting visualizations of the same data. This problem is further exacerbated by the choice of hyperparameters, which may substantially impact the resulting visualization. To obtain a more robust and trustworthy dimension reduction output, we advocate for a consensus approach, which summarizes multiple visualizations into a single consensus dimension reduction visualization. Here, we leverage ideas from multi-view learning in order to identify the patterns that are most stable or shared across the many different dimension reduction visualizations, or views, and subsequently visualize this shared structure in a single low-dimensional plot. We demonstrate that this consensus visualization effectively identifies and preserves the shared low-dimensional data structure through both simulated and real-world case studies. We further highlight our method's robustness to the choice of dimension reduction method and hyperparameters -- a highly-desirable property when working towards trustworthy and reproducible data science.

降维多视角学习可视化鲁棒性

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