Modern generative learning is mainly associated with Generative Adversarial Networks (GANs). Training such networks is always hard due to the minimax nature of the optimization objective. In this paper we propose a novel algorithm for training generative models, which gets rid of mini-max GAN objective, thus significantly simplified model training. The proposed algorithm uses the variational approximation of Wasserstein-2 distances by Input Convex Neural Networks. We also provide the results of computational experiments, which confirms the efficiency of our algorithm in application to latent spaces optimal transport and image-to-image style transfer.

Wasserstein-2 Generative Networks