28 citations · 154 across the 37 of their papers we have counts for
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math.NA2023
A clever neural network in solving inverse problems of Schrödinger equation
Yiran Wang
In this work, we solve inverse problems of nonlinear Schrödinger equations that can be formulated as a learning process of a special convolutional neural network. Instead of attemp…
math.NA2023
Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons
Wenrui Hao, Qingguo Hong, Xianlin Jin
The numerical solution of differential equations using machine learning-based approaches has gained significant popularity. Neural network-based discretization has emerged as a pow…
math.AP2023
Inverse source problem for the Boltzmann equation in cosmology
Yiran Wang
We study the inverse problem of recovering primordial perturbations from anisotropies of Cosmic Microwave Background (CMB) using the kinetic model. Mathematically, the problem in c…