Title
Mixture Density Generative Adversarial Networks
Abstract
Generative Adversarial Networks have a surprising ability to generate sharp and realistic images, but they are known to suffer from the so-called mode collapse problem. In this paper, we propose a new GAN variant called Mixture Density GAN that overcomes this problem by encouraging the Discriminator to form clusters in its embedding space, which in turn leads the Generator to exploit these and discover different modes in the data. This is achieved by positioning Gaussian density functions in the corners of a simplex, using the resulting Gaussian mixture as a likelihood function over discriminator embeddings, and formulating an objective function for GAN training that is based on these likelihoods. We show how formation of these clusters changes the probability landscape of the discriminator and improves the mode discovery of the GAN. We also show that the optimum of our training objective is attained if and only if the generated and the real distribution match exactly. We support our theoretical results with empirical evaluations on three mode discovery benchmark datasets (Stacked-MNIST, Ring of Gaussians and Grid of Gaussians), and four image datasets (CIFAR-10, CelebA, MNIST, and Fashion-MNIST). Furthermore, we demonstrate (1) the ability to avoid mode collapse and discover all the modes and (2) superior quality of the generated images (as measured by the Frechet Inception Distance (FID)), achieving the lowest FID compared to all baselines.
Year
DOI
Venue
2018
10.1109/CVPR.2019.00597
2019 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR 2019)
Field
DocType
Volume
Cluster (physics),Mixture distribution,Embedding,Discriminator,Likelihood function,Algorithm,Simplex,Gaussian,Artificial intelligence,Real image,Machine learning,Mathematics
Journal
abs/1811.00152
ISSN
Citations 
PageRank 
1063-6919
3
0.40
References 
Authors
0
3
Name
Order
Citations
PageRank
Eghbal-zadeh Hamid1419.28
Werner Zellinger2324.27
G. Widmer3448.01