10 citations · 21 across the 7 of their papers we have counts for
4 papers · 1 filter
Stability Analysis Framework for Particle-based Distance GANs with Wasserstein Gradient Flow
Chuqi Chen, Yue Wu, Yang Xiang
In this paper, we investigate the training process of generative networks that use a type of probability density distance named particle-based distance as the objective function, e…
Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives
Yahong Yang, Haizhao Yang, Yang Xiang
This paper addresses the problem of nearly optimal Vapnik--Chervonenkis dimension (VC-dimension) and pseudo-dimension estimations of the derivative functions of deep neural network…
Score-based Transport Modeling for Mean-Field Fokker-Planck Equations
Jianfeng Lu, Yue Wu, Yang Xiang
We use the score-based transport modeling method to solve the mean-field Fokker-Planck equations, which we call MSBTM. We establish an upper bound on the time derivative of the Kul…
Elastic Interaction Energy-Based Generative Model: Approximation in Feature Space
Chuqi Chen, Yue Wu, Yang Xiang
In this paper, we propose a novel approach to generative modeling using a loss function based on elastic interaction energy (EIE), which is inspired by the elastic interaction betw…