Semi-discrete OT loss for image generation

Paper

Some new application of our recent work Wasserstein Generative Models for Patch-based Texture Synthesis [arXiv] [HAL] that proposed a loss with semi-dual formulation of OT.

  •  Style transfert using semi-dual formulation for minimizing the OT distance between VGG-19 features:

       

   

   

  

  • Textures barycenters using our texture generation algorithm (Alg.1 from this work).

The key idea is to generate a new texture such that its patch distributions at various scales are Wasserstein barycenters of the patch distribution of the two inputs:


input 1                       W-barycenter                    input 2


input 1                       W-barycenter                    input 2