AI RESEARCH
Hyperspherical Variational Autoencoders Using Efficient Spherical Cauchy Distribution
arXiv CS.AI
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ArXi:2506.21278v3 Announce Type: replace-cross We propose spherical Cauchy (spCauchy) latent variables for variational autoencoders on hyperspherical latent spaces. The spCauchy family has heavy-tailed global behavior and admits an exact differentiable reparameterization by applying a M\"obius transformation to uniform samples on the sphere.