Hypertrix: An indicatrix for high-dimensional visualizations

Visualizing high dimensional data is challenging, since any dimensionality reduction technique will distort distances. A classic method in cartography-Tissot's Indicatrix, specific to sphere-to-plane maps- visualizes distortion using ellipses. Inspired by this idea, we describe the hypertrix: a...

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Bibliographic Details
Main Authors: Raval, Shivam, Viegas, Fernanda, Wattenberg, Martin
Format: Conference Proceeding
Language:English
Subjects:
Clustering
Data visualization
Dimensionality reduction
High-dimensional data-Distortion-Text Visualization
Image analysis
Nonlinear distortion
Visual analytics
Online Access:Request full text
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Summary:Visualizing high dimensional data is challenging, since any dimensionality reduction technique will distort distances. A classic method in cartography-Tissot's Indicatrix, specific to sphere-to-plane maps- visualizes distortion using ellipses. Inspired by this idea, we describe the hypertrix: a method for representing distortions that occur when data is projected from arbitrarily high dimensions onto a 2D plane. We demonstrate our technique through synthetic and real-world datasets, and describe how this indicatrix can guide interpretations of nonlinear dimensionality reduction.
ISSN:2771-9553
DOI:10.1109/VIS55277.2024.00073