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From OT to generative modeling: the VEGAN cookbook Cheng Xin Notations set: calligraphic letters, X random variables: capital letters, X random variable values: lower case letters, x probability distributions: capital letters

  1. From OT to generative modeling: the VEGAN cookbook Cheng Xin

  2. Notations • set: calligraphic letters, X • random variables: capital letters, X • random variable values: lower case letters, x • probability distributions: capital letters functions, P(X) • probability density: lower case letters functions, p(x)

  4. Wasserstein Distance Kantorovich-Rubinstein theorem

  5. GAN and Wasserstein-GAN

  6. Decomposition

  8. D POT & AAE

  9. D POT & WGAN

  10. Thanks Q?

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