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On Interactive Visualization of High-Dimensional Data Using the Hyperbolic Plane

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Executive Summary

This paper proposes a novel projection based visualization method for high-dimensional datasets by combining concepts from MDS and the geometry of the hyperbolic spates. The approach Hyperbolic Multi-Dimensional Scaling (H-MDS) extends earlier work using hyperbolic spaces for visualization of tree structures data ("Hyperbolic tree browser"). By borrowing concepts from multi-dimensional scaling the paper maps proximity data directly into the 2-dimensional Hyperbolic space (H2). This removes the restriction to "Quasi-hierarchical", graph-based data limiting previous work. Since a suitable distance function can convert all kinds of data to proximity (or distance-based) data this type of data can be considered the most general.

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