A fully hyperbolic attention model using Busemann energy in Poincaré discs produces emotion predictions from text that generalize well even at low embedding dimensions.
Conformal and holomorphic barycenters in hyperbolic balls
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Two IGO flows on spheres are designed with natural gradients from Poincaré and Bergman hyperbolic geometries, realized via Kuramoto oscillator ensembles, with a noted link to quantum decision making.
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Busemann energy-based attention for emotion analysis in Poincar\'e discs
A fully hyperbolic attention model using Busemann energy in Poincaré discs produces emotion predictions from text that generalize well even at low embedding dimensions.
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Information-Geometric Optimization on Spheres
Two IGO flows on spheres are designed with natural gradients from Poincaré and Bergman hyperbolic geometries, realized via Kuramoto oscillator ensembles, with a noted link to quantum decision making.