HUMAP: Hierarchical Uniform Manifold Approximation and Projection.

Wilson E Marcilio-Jr, Danilo M Eler, Fernando V Paulovich, Rafael M Martins
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Abstract

Dimensionality reduction (DR) techniques help analysts to understand patterns in high-dimensional spaces. These techniques, often represented by scatter plots, are employed in diverse science domains and facilitate similarity analysis among clusters and data samples. For datasets containing many granularities or when analysis follows the information visualization mantra, hierarchical DR techniques are the most suitable approach since they present major structures beforehand and details on demand. This work presents HUMAP, a novel hierarchical dimensionality reduction technique designed to be flexible on preserving local and global structures and preserve the mental map throughout hierarchical exploration. We provide empirical evidence of our technique's superiority compared with current hierarchical approaches and show a case study applying HUMAP for dataset labelling.

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HUMAP:分层统一曲面逼近和投影。
降维(DR)技术有助于分析人员了解高维空间中的模式。这些技术通常以散点图为代表,应用于不同的科学领域,有助于对数据集群和数据样本进行相似性分析。对于包含多种粒度的数据集,或者当分析遵循信息可视化原则时,分层 DR 技术是最合适的方法,因为它们能事先呈现主要结构,并根据需求呈现细节。本研究提出的 HUMAP 是一种新型分层降维技术,旨在灵活地保留局部和全局结构,并在整个分层探索过程中保留心理地图。我们提供了实证证据,证明我们的技术优于当前的分层方法,并展示了将 HUMAP 应用于数据集标注的案例研究。
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