Hyperbolic Space
A non-Euclidean geometric space with negative curvature, suited to representing hierarchical structures and tree-like data. Event accumulation is performed through operations such as Möbius addition.
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Hyperbolic space is a class of constant-negative-curvature space whose volume grows exponentially with radius, and can therefore represent exponentially large hierarchical structures (such as trees) with low-dimensional embeddings.
Conditioned feature modulation in hyperbolic space needs to be performed in the tangent space or via exponential/logarithmic maps in order to preserve the geometric structure.
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Hyperbolic space is a class of constant-negative-curvature space whose volume grows exponentially with radius, and can therefore represent exponentially large hierarchical structures (such as trees) with low-dimensional embeddings.
50%UnverifiedConditioned feature modulation in hyperbolic space needs to be performed in the tangent space or via exponential/logarithmic maps in order to preserve the geometric structure.
50%