A Simplex Witness Certificate for Constant Collapse in Variational Autoencoders 事件

A Simplex Witness Certificate for Constant Collapse in Variational Autoencoders arXiv:2605.18224v3 Announce Type: replace-cross Abstract: We study exact constant collapse in variational autoencoders: the deterministic encoder mean becomes independent of the input. The prior remains the standard Gaussian. Before VAE training, we select a fixed teacher posterior from a GMM-based view of the data and attach a fixed latent-only simplex witness to the encoder mean. This construction yields two linke