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Paper · arXiv

Normalizing Flow Maps

Scalable approaches to learning neural dynamical systems have placed diffusion, flow matching, and few-step generators in flow maps at the forefront of generative modeling. Such state-of-the-art models have limited access to explicit model densities despite evolving from classical generative modeling approaches that leveraged tractable likelihoods, e.g., Normalizing Flows and Autoregressive models. In this paper, we combine these threads of few-step generation and tractable sample likelihoods and introduce Normalizing Flow Maps (NFM), a class of exactly invertible pushforward maps that generalizes normalizing flows and flow maps. More precisely, NFMs learn the integrator of an underlying ...

AuthorsFrancesco M. Ruscio, Timothy James Hitge, Fred Zhangzhi Peng et al.
Primary categorycs.LG
Published15 October 2026
Last updated at source15 October 2026
cs.LG
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