Activity Number:
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294
- SPEED: Statistical Learning and Data Science Speed Session 2, Part 1
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Type:
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Contributed
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Date/Time:
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Tuesday, July 30, 2019 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Statistical Learning and Data Science
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Abstract #306435
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Presentation
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Title:
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Three-Dimensional Radial Visualization of High-Dimensional Continuous or Discrete Data
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Author(s):
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Yifan Zhu* and Fan Dai and Ranjan Maitra
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Companies:
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Iowa State University and Iowa State University and Iowa State University
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Keywords:
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RadViz3D;
Visualization;
Fibonacci grid;
PCA;
Anchor points
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Abstract:
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This paper develops methodology for 3D radial visualization of high-dimensional datasets. Our display engine is called RadViz3D and extends the classic RadViz that visualizes multivariate data in the 2D plane by mapping every record to a point inside the unit circle. The classic RadViz display has equally-spaced anchor points on the unit circle, with each of them associated with an attribute or feature of the dataset. RadViz3D obtains equi-spaced anchor points exactly for the five Platonic solids and approximately for the other cases via a Fibonacci grid. We show that distributing anchor points at least approximately uniformly on the 3D unit sphere provides a better visualization than in 2D. We also propose a Max-Ratio Projection (MRP) method that utilizes the group information in high dimensions to provide distinctive lower-dimensional projections that are then displayed using Radviz3D. Our methodology is extended to datasets with discrete and mixed features where a generalized distributional transform is used in conjuction with copula models before applying MRP and RadViz3D visualization.
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Authors who are presenting talks have a * after their name.