Y Lu, J Lu - Advances in neural information processing …, 2020 - proceedings.neurips.cc
This paper studies the universal approximation property of deep neural networks for representing probability distributions. Given a target distribution $\pi $ and a source …
N Lei, D An, Y Guo, K Su, S Liu, Z Luo, ST Yau, X Gu - Engineering, 2020 - Elsevier
This work introduces an optimal transportation (OT) view of generative adversarial networks (GANs). Natural datasets have intrinsic patterns, which can be summarized as the manifold …
Z Yang, Y Li, G Zhou - ACM Transactions on Computing for Healthcare, 2023 - dl.acm.org
Deep learning has achieved significant success on intelligent medical treatments, such as automatic diagnosis and analysis of medical data. To train an automatic diagnosis system …
W Li, Z Liang, P Ma, R Wang, X Cui… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Data usually resides on a manifold, and the minimal dimension of such a manifold is called its intrinsic dimension. This fundamental data property is not considered in the generative …
Z Pan, L Niu, L Zhang - Advances in neural information …, 2022 - proceedings.neurips.cc
Despite the significant progress that has been made in the training of Generative Adversarial Networks (GANs), the mode collapse problem remains a major challenge in training GANs …
R Zhang, J Chen, W Gao, G Li… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Point cloud generative models have aroused increasing concern for their realistic generation potentialities. However, most existing methods adopt deep-neural-network …
W Li, W Liu, J Chen, L Wu, PD Flynn… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
Mode collapse has been a persisting challenge in generative adversarial networks (GANs), and it directly affects the applications of GAN in many domains. Existing works that attempt to …
This paper studies the estimation of large-scale optimal transport maps (OTM), which is a well known challenging problem owing to the curse of dimensionality. Existing literature …