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Spherical Cauchy Variational Autoencoders: Heavy Angular Tails and Exact KL Evaluation
Heavy-tailed posteriors are routine in Euclidean variational autoencoders, where the Student family relaxes the Gaussian without new machinery. The sphere has had no comparable option. Von Mises-Fisher distribution needs modified Bessel functions and a rejection sampler, and Power Spherical buys its
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