Spherical VAE with Cluster-Aware Feasible Regions: Guaranteed Prevention of Posterior Collapse

In three linesNovel VAE method using spherical shell geometry and cluster-aware constraints to mathematically eliminate posterior collapse. Transforms data to spherical shell, applies K-means, defines feasible region between within-cluster variance and collapse loss. Guarantees 100% collapse prevention without computational overhead or decoder output restrictions.

Summary generated by Claude — human-verified