English

Adversarial network training using higher-order moments in a modified Wasserstein distance

Machine Learning 2022-10-10 v1 Machine Learning

Abstract

Generative-adversarial networks (GANs) have been used to produce data closely resembling example data in a compressed, latent space that is close to sufficient for reconstruction in the original vector space. The Wasserstein metric has been used as an alternative to binary cross-entropy, producing more numerically stable GANs with greater mode covering behavior. Here, a generalization of the Wasserstein distance, using higher-order moments than the mean, is derived. Training a GAN with this higher-order Wasserstein metric is demonstrated to exhibit superior performance, even when adjusted for slightly higher computational cost. This is illustrated generating synthetic antibody sequences.

Keywords

Cite

@article{arxiv.2210.03354,
  title  = {Adversarial network training using higher-order moments in a modified Wasserstein distance},
  author = {Oliver Serang},
  journal= {arXiv preprint arXiv:2210.03354},
  year   = {2022}
}
R2 v1 2026-06-28T02:58:55.047Z