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20162026
most citedRecurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling

2 citations · 6 across the 9 of their papers we have counts for

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math.NA2026★ 1 cited

Learning Ecological and Epidemic Processes using Neural ODEs, Kolmogorov-Arnold Network ODEs and SINDy

Maria Vasilyeva, Zheng Wei, Kelum Gajamannage +3

We consider epidemic and ecological models to investigate their coupled dynamics. Starting with the classical Susceptible-Infected-Recovered (SIR) model for basic epidemic behavior…

math.NA2024★ 1 cited

Multiscale method for image denoising using nonlinear diffusion process: local denoising and spectral multiscale basis functions

Maria Vasilyeva, Aleksei Krasnikov, Kelum Gajamannage +1

We consider image denoising using a nonlinear diffusion process, where we solve unsteady partial differential equations with nonlinear coefficients. The noised image is given as an…