Monge-Ampère Flow for Generative Modeling

26 Sep 2018Linfeng ZhangWeinan ELei Wang

We present a deep generative model, named Monge-Amp\`ere flow, which builds on continuous-time gradient flow arising from the Monge-Amp\`ere equation in optimal transport theory. The generative map from the latent space to the data space follows a dynamical system, where a learnable potential function guides a compressible fluid to flow towards the target density distribution... (read more)

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