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20232025
most citedNumerical Analysis on Neural Network Projected Schemes for Approximating One Dimensional Wasserstein Gradient Flows

3 citations · 6 across the 7 of their papers we have counts for

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math.NA2024★ 3 cited

Numerical Analysis on Neural Network Projected Schemes for Approximating One Dimensional Wasserstein Gradient Flows

Xinzhe Zuo, Jiaxi Zhao, Shu Liu +2

We provide a numerical analysis and computation of neural network projected schemes for approximating one dimensional Wasserstein gradient flows. We approximate the Lagrangian mapp…

math.NA2024

Numerical analysis of a first-order computational algorithm for reaction-diffusion equations via the primal-dual hybrid gradient method

Shu Liu, Xinzhe Zuo, Stanley Osher +1

In arXiv:2305.03945 [math.NA], a first-order optimization algorithm has been introduced to solve time-implicit schemes of reaction-diffusion equations. In this research, we conduct…