Zobrazeno 1 - 10
of 273
pro vyhledávání: '"Wang, Zhongjian"'
The investigation of tumor invasion and metastasis dynamics is crucial for advancements in cancer biology and treatment. Many mathematical models have been developed to study the invasion of host tissue by tumor cells. In this paper, we develop a nov
Externí odkaz:
http://arxiv.org/abs/2407.05626
This paper aims to investigate the diffusion behavior of particles moving in stochastic flows under a structure-preserving scheme. We compute the effective diffusivity for normal diffusive random flows and establish the power law between spatial and
Externí odkaz:
http://arxiv.org/abs/2405.19003
We establish global well-posedness and convergence of the score-based generative models (SGM) under minimal general assumptions of initial data for score estimation. For the smooth case, we start from a Lipschitz bound of the score function with opti
Externí odkaz:
http://arxiv.org/abs/2405.16104
Autor:
Bal, Guillaume, Wang, Zhongjian
This paper concerns the $\mathbb{Z}_2$ classification of Fermionic Time-Reversal (FTR) symmetric partial differential Hamiltonians on the Euclidean plane. We consider the setting of two insulators separated by an interface. Hamiltonians that are inva
Externí odkaz:
http://arxiv.org/abs/2311.05872
In this paper, we study the stochastic convergence of regularized solutions for backward heat conduction problems. These problems are recognized as ill-posed due to the exponential decay of eigenvalues associated with the forward problems. We derive
Externí odkaz:
http://arxiv.org/abs/2311.03623
We introduce an efficient stochastic interacting particle-field (SIPF) algorithm with no history dependence for computing aggregation patterns and near singular solutions of parabolic-parabolic Keller-Segel (KS) chemotaxis system in three space dimen
Externí odkaz:
http://arxiv.org/abs/2309.13554
We aim to efficiently compute spreading speeds of reaction-diffusion-advection (RDA) fronts in divergence free random flows under the Kolmogorov-Petrovsky-Piskunov (KPP) nonlinearity. We study a stochastic interacting particle method (IPM) for the re
Externí odkaz:
http://arxiv.org/abs/2308.14479
Autor:
Li, Weichuang, Zhang, Longhao, Wang, Dong, Zhao, Bin, Wang, Zhigang, Chen, Mulin, Zhang, Bang, Wang, Zhongjian, Bo, Liefeng, Li, Xuelong
Talking head generation aims to generate faces that maintain the identity information of the source image and imitate the motion of the driving image. Most pioneering methods rely primarily on 2D representations and thus will inevitably suffer from f
Externí odkaz:
http://arxiv.org/abs/2304.05097
This paper provide several mathematical analyses of the diffusion model in machine learning. The drift term of the backwards sampling process is represented as a conditional expectation involving the data distribution and the forward diffusion. The t
Externí odkaz:
http://arxiv.org/abs/2301.07882
The optimal transport (OT) problem can be reduced to a linear programming (LP) problem through discretization. In this paper, we introduced the random block coordinate descent (RBCD) methods to directly solve this LP problem. Our approach involves re
Externí odkaz:
http://arxiv.org/abs/2212.07046