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Learning Poisson systems and trajectories of autonomous systems via Poisson neural networks


Dec 05, 2020
Pengzhan Jin, Zhen Zhang, Ioannis G. Kevrekidis, George Em Karniadakis


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Symplectic networks: Intrinsic structure-preserving networks for identifying Hamiltonian systems


Jan 11, 2020
Pengzhan Jin, Aiqing Zhu, George Em Karniadakis, Yifa Tang


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DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators


Oct 08, 2019
Lu Lu, Pengzhan Jin, George Em Karniadakis


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Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness


May 27, 2019
Pengzhan Jin, Lu Lu, Yifa Tang, George Em Karniadakis


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