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HUMAP: Hierarchical Uniform Manifold Approximation and Projection

arXiv 2106.07718 ↗First posted 14 Jun 2021cs.LG cs.GRcited by 4

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Abstract (arXiv)

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.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 10 of its 59 references that are in the map. First posted on arXiv 14 Jun 2021.

Builds on

10 of 59 references.

References · 10

  1. 2017A Unified Approach to Interpreting Model Predictionscited by 6,488
  2. 2017Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithmscited by 4,283
  3. 2018UMAP: Uniform Manifold Approximation and Projection for Dimension Reductioncited by 2,841
  4. 2016An overview of gradient descent optimization algorithmscited by 1,021
  5. 2019Supporting Analysis of Dimensionality Reduction Results with Contrastive Learningcited by 26
  6. 2019Coarse Graining of Data via Inhomogeneous Diffusion Condensationcited by 9
  7. 2021Explaining dimensionality reduction results using Shapley valuescited by 9
  8. 2019An Incremental Dimensionality Reduction Method for Visualizing Streaming Multidimensional Datacited by 8
  9. 2021Contrastive analysis for scatterplot-based representations of dimensionality reductioncited by 2
  10. 2019Visual Feature Fusion and its Application to Support Unsupervised Clustering Taskscited by 1

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Citing papers per year: 2026: 4.

4 papers.