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math.NA2021★ 3 cited
Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations
Shi Jin, Zheng Ma, Keke Wu
In this paper we develop a neural network for the numerical simulation of time-dependent linear transport equations with diffusive scaling and uncertainties. The goal of the networ…
math.NA2021
Roughness Index for Loss Landscapes of Neural Network Models of Partial Differential Equations
Keke Wu, Xiangru Jian, Rui Du +2
Loss landscape is a useful tool to characterize and compare neural network models. The main challenge for analysis of loss landscape for the deep neural networks is that they are g…