Multi-projection of unequal dimension optimal transport theory for generative adversary networks

DOI10.1016/j.neunet.2020.04.029zbMath1468.68159OpenAlexW3023788528WikidataQ95644594 ScholiaQ95644594MaRDI QIDQ1982427

Gu Xu, Longhan Xie, Judy Yangjun Lin, Shao-Yan Guo

Publication date: 8 September 2021

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2020.04.029

zbMATH Keywords

optimal transportgenerative adversarial networksmulti-projectionunequal dimension

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Uses Software

• CycleGAN
• pix2pix
• Wasserstein GAN
• FusionGAN
• StarGAN
• f-GAN

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computational Optimal Transport: With Applications to Data Science
• A geometric view of optimal transportation and generative model
• Sliced and Radon Wasserstein barycenters of measures
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Regularity of optimal transportation between spaces with different dimensions
• Duality theorems for marginal problems
• Optimal maps for the multidimensional Monge-Kantorovich problem
• Multi‐to One‐Dimensional Optimal Transport

This page was built for publication: Multi-projection of unequal dimension optimal transport theory for generative adversary networks