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math.NA2026★ 1 cited
Learning Hidden Ecological and Epidemic Processes in a Reduced-Order Space
Maria Vasilyeva, Zheng Wei, Kelum Gajamannage +3
We study data-driven learning of ecological and epidemic dynamics governed by nonlinear reaction and reaction--diffusion systems. We consider both neural approaches for learning th…
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…