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arXiv 2106.07718cs.LGcs.GR
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HUMAP:层次化均匀流形近似与投影

HUMAP: Hierarchical Uniform Manifold Approximation and Projection

São Paulo State University (UNESP) and Nomic AI(圣保罗州立大学(UNESP)和Nomic AI);São Paulo State University (UNESP)(圣保罗州立大学(UNESP));Eindhoven University of Technology(埃因霍温理工大学);Linnaeus University(林纳大学)

Wilson E. Marcílio-Jr, Danilo M. Eler, Fernando V. Paulovich, Rafael M. Martins

AI总结:

本文提出层次化降维技术 HUMAP,可在多层级探索中兼顾局部与全局结构并保持心理地图,实验表明其优于现有方法。

摘要:

降维(DR)技术帮助分析人员理解高维空间中的模式。这些技术通常以散点图表示,被应用于多个科学领域,并促进聚类与数据样本之间的相似性分析。对于包含多种粒度的数据集,或者当分析遵循信息可视化准则时,层次化降维技术是最合适的方法,因为它们会预先呈现主要结构,并按需呈现细节。本工作提出 HUMAP,这是一种新颖的层次化降维技术,旨在灵活保留局部与全局结构,并在整个层次化探索过程中保持心理地图。我们提供了实验证据,证明该技术相较于现有层次化方法具有优越性,并展示了一个将 HUMAP 应用于数据集标注的案例研究。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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