43 citations · 74 across the 16 of their papers we have counts for
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cs.LG2023★ 1 cited
Koopman neural operator as a mesh-free solver of non-linear partial differential equations
Wei Xiong, Xiaomeng Huang, Ziyang Zhang +3
The lacking of analytic solutions of diverse partial differential equations (PDEs) gives birth to a series of computational techniques for numerical solutions. Although numerous la…
cs.LG2023★ 1 cited
KoopmanLab: machine learning for solving complex physics equations
Wei Xiong, Muyuan Ma, Xiaomeng Huang +3
Numerous physics theories are rooted in partial differential equations (PDEs). However, the increasingly intricate physics equations, especially those that lack analytic solutions…
cs.LG2022★ 1 cited
Statistical Physics of Deep Neural Networks: Initialization toward Optimal Channels
Kangyu Weng, Aohua Cheng, Ziyang Zhang +2
In deep learning, neural networks serve as noisy channels between input data and its representation. This perspective naturally relates deep learning with the pursuit of constructi…