no code implementations • CVPR 2023 • Weichuang Li, Longhao Zhang, Dong Wang, Bin Zhao, Zhigang Wang, Mulin Chen, Bang Zhang, Zhongjian Wang, Liefeng Bo, Xuelong Li
Talking head generation aims to generate faces that maintain the identity information of the source image and imitate the motion of the driving image.
no code implementations • 19 Jan 2023 • Yubin Lu, Zhongjian Wang, Guillaume Bal
Using small-time approximations of the Green's function of the forward diffusion, we show that the analytical mean drift function in DDPM and the score function in SGM asymptotically blow up in the final stages of the sampling process for singular data distributions such as those concentrated on lower-dimensional manifolds, and is therefore difficult to approximate by a network.
no code implementations • 5 Sep 2022 • Tiangang Cui, Zhongjian Wang, Zhiwen Zhang
We first formulate the solution of non-Newtonian ice flow model into the minimizer of a variational integral with boundary constraints.
no code implementations • 31 Aug 2022 • Zhongjian Wang, Jack Xin, Zhiwen Zhang
We study a regularized interacting particle method for computing aggregation patterns and near singular solutions of a Keller-Segal (KS) chemotaxis system in two and three space dimensions, then further develop DeepParticle (DP) method to learn and generate solutions under variations of physical parameters.
no code implementations • 2 Nov 2021 • Zhongjian Wang, Jack Xin, Zhiwen Zhang
We introduce the so called DeepParticle method to learn and generate invariant measures of stochastic dynamical systems with physical parameters based on data computed from an interacting particle method (IPM).