The Geometry of Efficient Nonconvex Sampling

arXiv:2603.25622v2 Announce Type: replace-cross Abstract: We present an efficient algorithm for uniformly sampling from an arbitrary compact body X subset R^n from a warm start under isoperimetry and a natural volume growth condition. Our result provides a substantial common generalization of known results for convex bodies and star-shaped bodies. The complexity of the algorithm is polynomial in the dimension, the Poincare constant of the uniform distribution on X and the volume growth constant of the set X.

Source: arXiv cs.LG | 2026-07-01