Asymptotically exact variational flows via involutive MCMC kernels
arXiv:2506.02162v3 Announce Type: replace-cross Abstract: Most expressive variational families — such as normalizing flows — lack practical convergence guarantees, as their theoretical assurances typically hold only at the intractable global optimum. In this work, we present a general recipe for constructing tuning-free, asymptotically exact variational flows on arbitrary state spaces from involutive MCMC kernels. The core methodological component is a novel representation of general involutive MCMC kernels as invertible, measurepreserving iterated random function systems, which act as the […]