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Paper · arXiv

FUND: Density Flow for Sampling Unnormalised Distributions

Efficient sampling from Boltzmann distributions is central to modelling complex physical systems. Markov Chain Monte Carlo (MCMC) methods suffer from critical slowing down, high autocorrelation, and poor mode-mixing, limiting their scalability. Recent advances, like Boltzmann Generators, offer a promising alternative but remain constrained by costly MCMC-based training, inefficient sampling, and poor ergodicity. We introduce an algorithm for learning Boltzmann distributions that does not require any true samples for training. Our approach draws inspiration from flow matching but departs fundamentally from sample-trajectory matching to distribution-trajectory matching. The algorithm iterat...

AuthorsVikas Kanaujia, Vipul Arora
Primary categorycs.LG
Published26 September 2026
Last updated at source26 September 2026
cs.LGhep-lat
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