Web: http://arxiv.org/abs/2209.11178

Sept. 23, 2022, 1:12 a.m. | Yilun Xu, Ziming Liu, Max Tegmark, Tommi Jaakkola

cs.LG updates on arXiv.org arxiv.org

We propose a new "Poisson flow" generative model (PFGM) that maps a uniform
distribution on a high-dimensional hemisphere into any data distribution. We
interpret the data points as electrical charges on the $z=0$ hyperplane in a
space augmented with an additional dimension $z$, generating a high-dimensional
electric field (the gradient of the solution to Poisson equation). We prove
that if these charges flow upward along electric field lines, their initial
distribution in the $z=0$ plane transforms into a distribution on …

arxiv flow generative models

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