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math.DG2026
Bergman barycentric extensions of boundary homeomorphisms of the complex ball
David Kalaj, Anton Gjokaj, Vladimir Jacimovic
We define a Bergman barycentric extension of boundary homeomorphisms of the complex unit ball by \[ E_B(f)(z)=\barB(f_*σ_z), \] where \(\barB\) is the Busemann barycenter for the B…
cs.LG2026
Busemann energy-based attention for emotion analysis in Poincaré discs
Zinaid Kapić, Vladimir Jaćimović
We present EmBolic - a novel fully hyperbolic deep learning architecture for fine-grained emotion analysis from textual messages. The underlying idea is that hyperbolic geometry ef…