Author

Lukas Sablica

2 papers indexed here

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Preprint Oct 2026

Direct Simulation of Poisson and Newton Kernel Distributions

The Poisson kernel-based (PKB) distribution is a flexible and numerically convenient family on the unit sphere used for model-based clustering, uniformity testing, and directional data analysis. Available random variate generators rely on rejection from a von Mises-Fisher, angular central Gaussian, or projected Saw env...

Lukas Sablica, Kurt Hornik · 0 citations

#artificial intelligence Preprint Jun 2025

Spherical Cauchy Variational Autoencoders: Heavy Angular Tails and Exact KL Evaluation

The spherical Cauchy distribution is developed as a hyperspherical posterior that needs neither compromise and has broader angular tails and a smaller KL penalty than both alternatives, so equal local precision costs less regularization.

Lukas Sablica, Kurt Hornik · 3 citations