A Wrapped Normal Distribution on Hyperbolic Space for Gradient-Based Learning

8 Feb 2019Yoshihiro NaganoShoichiro YamaguchiYasuhiro FujitaMasanori Koyama

Hyperbolic space is a geometry that is known to be well-suited for representation learning of data with an underlying hierarchical structure. In this paper, we present a novel hyperbolic distribution called \textit{pseudo-hyperbolic Gaussian}, a Gaussian-like distribution on hyperbolic space whose density can be evaluated analytically and differentiated with respect to the parameters... (read more)

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