82 citations · 876 across the 71 of their papers we have counts for
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cs.LG2022
Approximation of nearly-periodic symplectic maps via structure-preserving neural networks
Valentin Duruisseaux, Joshua W. Burby, Qi Tang
A continuous-time dynamical system with parameter is nearly-periodic if all its trajectories are periodic with nowhere-vanishing angular frequency as ap…
cs.LG2022★ 82 cited
Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems
Alec J. Linot, Joshua W. Burby, Qi Tang +3
In data-driven modeling of spatiotemporal phenomena careful consideration often needs to be made in capturing the dynamics of the high wavenumbers. This problem becomes especially…