21 citations · 22 across the 4 of their papers we have counts for
14 papers
Efficient Optimal Transport Algorithm by Accelerated Gradient descent
Dongsheng An, Na Lei, Xianfeng Gu
Optimal transport (OT) plays an essential role in various areas like machine learning and deep learning. However, computing discrete optimal transport plan for large scale problems…
Cortical Morphometry Analysis based on Worst Transportation Theory
Min Zhang, Dongsheng An, Na Lei +5
Biomarkers play an important role in early detection and intervention in Alzheimer's disease (AD). However, obtaining effective biomarkers for AD is still a big challenge. In this…
AE-OT-GAN: Training GANs from data specific latent distribution
Dongsheng An, Yang Guo, Min Zhang +4
Though generative adversarial networks (GANs) areprominent models to generate realistic and crisp images,they often encounter the mode collapse problems and arehard to train, which…
Quadrilateral Mesh Generation II : Meromorphic Quartic Differentials and Abel-Jacobi Condition
Na Lei, Xiaopeng Zheng, Zhongxuan Luo +2
This work discovers the equivalence relation between quadrilateral meshes and meromorphic quartic. Each quad-mesh induces a conformal structure of the surface, and a meromorphic di…
Mode Collapse and Regularity of Optimal Transportation Maps
Na Lei, Yang Guo, Dongsheng An +4
This work builds the connection between the regularity theory of optimal transportation map, Monge-Ampère equation and GANs, which gives a theoretic understanding of the major draw…
Metric Based Quadrilateral Mesh Generation
Wei Chen, Xiaopeng Zheng, Jingyao Ke +3
This work proposes a novel metric based algorithm for quadrilateral mesh generating. Each quad-mesh induces a Riemannian metric satisfying special conditions: the metric is a flat…