Life sciences · Preprint
arXiv · September 10, 2026
Raises a question worth testing. It does not answer one.
This is an unreviewed methodological paper proposing that Generative Marginalization Models are theoretically equivalent to Generative Flow Networks, and introducing Particle GFlowNets as an extension using Gelman-Rubin statistic-based Gibbs sampler rejuvenation. The work is exploratory and requires independent peer review and empirical validation before uptake.
Preprint.
MaMs and GFlowNets are mathematically equivalent, contrary to prior literature classification Particle GFlowNets accelerates training convergence in large combinatorial spaces through automatic full-state rejuvenation criterion
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This is a methodological preprint proposing theoretical equivalence between two machine learning frameworks and introducing an algorithmic extension, with computational validation but no clinical or translational outcomes.
Graded across the dimensions that decide whether you should act, each from what the source actually supports. There is no single score, and where a dimension was not assessed it says so.
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Generative Marginalization Models (MaMs) have been recently introduced as efficient neural sampling models for any-order autoregressive modelling of discrete distributions. By learning both the marginal and conditional probabilities of a persistent-block Gibbs sampler, MaMs enable fast posterior evaluation with a single neural network forward pass. While prior work has considered MaMs to be distinct from Generative Flow Networks (GFlowNets), a well-established paradigm for inference in discrete stochastic models, we show that they are equivalent. Then, we also extend MaMs' sampling strategy to non-autoregressive generative processes. In particular, we describe an automatic criterion for full-state rejuvenation of the Gibbs sampler, derived from the Gelman-Rubin statistic, which plays a key role in speeding up learning convergence. Our experiments show that our method, called Particle GFlowNets, markedly accelerates training in large combinatorial spaces.
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