Generative modeling of conditional probability distributions on the level-sets of collective variables

arXiv:2512.17374v3 Announce Type: replace
Abstract: Given a probability distribution $mu$ in $mathbb{R}^d$ represented by data, we study in this paper the generative modeling of the corresponding conditional probability distributions on the level-sets of a collective variable $xi:mathbb{R}^d rightarrow mathbb{R}^k$, where $1 le k