From OT to generative modeling: the VEGAN cookbook Cheng Xin - - PowerPoint PPT Presentation

from ot to generative modeling the vegan cookbook
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From OT to generative modeling: the VEGAN cookbook Cheng Xin - - PowerPoint PPT Presentation

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


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From OT to generative modeling: the VEGAN cookbook

Cheng Xin

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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)
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Wasserstein Distance Kantorovich-Rubinstein theorem

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GAN and Wasserstein-GAN

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Decomposition

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DPOT & AAE

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DPOT & WGAN

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Thanks Q?