Visualize hierarchical relationships in hyperbolic space using Poincaré ball model
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Hyperbolic space provides a natural way to represent hierarchical structures. Unlike Euclidean space, the Poincaré ball model allows exponentially more room at the boundary, making it perfect for tree-like structures where the number of nodes grows exponentially with depth.
All points lie within a unit circle. Distance grows exponentially near the boundary.
Parent-child relationships maintain consistent distances in hyperbolic space.
Lower distortion when embedding trees compared to Euclidean space.