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math.NA2023
A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules
Pei Zhang, Yanli Wang, Zhennan Zhou
In this work, we consider the Fokker-Planck equation of the Nonlinear Noisy Leaky Integrate-and-Fire (NNLIF) model for neuron networks. Due to the firing events of neurons at the m…
math.NA2023★ 2 cited
Solving Boltzmann equation with neural sparse representation
Zhengyi Li, Yanli Wang, Hongsheng Liu +2
We consider the neural sparse representation to solve Boltzmann equation with BGK and quadratic collision model, where a network-based ansatz that can approximate the distribution…