Optimal transport mapping via input convex neural networks

A Makkuva, A Taghvaei, S Oh… - … Conference on Machine …, 2020 - proceedings.mlr.press
In this paper, we present a novel and principled approach to learn the optimal transport
between two distributions, from samples. Guided by the optimal transport theory, we learn …

A universal approximation theorem of deep neural networks for expressing probability distributions

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 …

A geometric understanding of deep learning

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 …

生成对抗网络研究综述

王正龙, 张保稳 - 网络与信息安全学报, 2021 - infocomm-journal.com
首先介绍了生成对抗网络基本理论, 应用场景和研究现状, 并列举了其亟待改进的问题.
围绕针对提升模型训练效率, 提升生成样本质量和降低模式崩溃现象发生可能性3 类问题的解决 …

Ts-gan: Time-series gan for sensor-based health data augmentation

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 …

Hausdorff GAN: Improving GAN Generation Quality With Hausdorff Metric

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 …

UniGAN: Reducing mode collapse in GANs using a uniform generator

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 …

PointOT: Interpretable geometry-inspired point cloud generative model via optimal transport

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 …

Reducing mode collapse with Monge–Kantorovich optimal transport for generative adversarial networks

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 …

Large-scale optimal transport map estimation using projection pursuit

C Meng, Y Ke, J Zhang, M Zhang… - Advances in Neural …, 2019 - proceedings.neurips.cc
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 …